Tootfinder

Stochastic Channel Models for Satellite Mega-Constellations
Brendon McBain, Yi Hong, Emanuele Viterbo
https://arxiv.org/abs/2507.20255 https://arxiv.org/pd…

Stochastic Channel Models for Satellite Mega-Constellations
A general satellite channel model is proposed for communications between a rapidly moving low Earth orbit (LEO) satellite in a mega-constellation and a stationary user on Earth. The channel uses a non-homogeneous binomial point process (NBPP) for modelling the satellite positions, marked with an ascending/descending binary random variable for modelling the satellite directions. Using the marked NBPP, we derive the probability distributions of power gain, propagation delay, and Doppler shift, re…

This https://arxiv.org/abs/2211.07055 has been replaced.
link: https://scholar.google.com/scholar?q=a

Geometric complexity theory for product-plus-power
According to Kumar's recent surprising result (ToCT'20), a small border Waring rank implies that the polynomial can be approximated as a sum of a constant and a small product of linear polynomials. We prove the converse of Kumar's result and establish a tight connection between border Waring rank and the model of computation in Kumar's result. In this way, we obtain a new formulation of border Waring rank, up to a factor of the degree. We connect this new formulation to the orbit closure proble…

CHIMERA: Compressed Hybrid Intelligence for Twin-Model Enhanced Multi-Agent Deep Reinforcement Learning for Multi-Functional RIS-Assisted Space-Air-Ground Integrated Networks
Li-Hsiang Shen, Jyun-Jhe Huang
https://arxiv.org/abs/2507.16204

CHIMERA: Compressed Hybrid Intelligence for Twin-Model Enhanced Multi-Agent Deep Reinforcement Learning for Multi-Functional RIS-Assisted Space-Air-Ground Integrated Networks
A space-air-ground integrated network (SAGIN) architecture is proposed, empowered by multi-functional reconfigurable intelligent surfaces (MF-RIS) capable of simultaneously reflecting, amplifying, and harvesting wireless energy. The MF-RIS plays a pivotal role in addressing the energy shortages of low-Earth orbit (LEO) satellites operating in shadowed regions, while explicitly accounting for both communication and computing energy consumption across the SAGIN nodes. To maximize the long-term en…

Understanding Plasma Turbulence Through Exact Coherent Structures
Sidney D. V. Williams, Matthew N. Gudorf, Dmitri M. Orlov
https://arxiv.org/abs/2505.19363

Understanding Plasma Turbulence Through Exact Coherent Structures
Plasma turbulence is a key challenge in understanding transport phenomena in magnetically confined plasmas. This work presents a novel approach using periodic orbit theory to analyze plasma turbulence, identifying fundamental structures that underpin chaotic motion. By applying numerical optimization techniques to the Kuramoto-Sivashinsky equation - a reduced model for drift-wave-driven trapped particle turbulence - we extract coherent spacetime patterns that serve as building blocks of turbule…

Geometrically Frustrated Quadrupoles on the Pyrochlore Lattice and Generalized Spin Liquids
Kristian Tyn Kai Chung, Sylvain Petit, Julien Robert, Paul McClarty
https://arxiv.org/abs/2506.19908

Geometrically Frustrated Quadrupoles on the Pyrochlore Lattice and Generalized Spin Liquids
As an instance of geometrical frustration with non-magnetic degrees of freedom, we explore the physics of local spin $S\geq 1$ moments on the pyrochlore lattice that interact via pure quadrupolar couplings. In the presence of spin-orbit coupling, there are nine allowed couplings between nearest neighbor quadrupoles. We determine the semi-classical phases and survey the phase diagram of the model. One may view the Hamiltonian as being composed of two copies of the well-studied dipolar model with…

$C_{pq}$-Injective Diagrams and a Combination Theorem for Minimal Models
Soumyadip Thandar
https://arxiv.org/abs/2506.17998 https://a…

$C_{pq}$-Injective Diagrams and a Combination Theorem for Minimal Models
We study diagrams of commutative differential graded algebras (DGAs) over the orbit category $\sO_G$ in the context of equivariant rational homotopy theory. For $G = C_{pq}$ with $p, q$ distinct primes, we give necessary conditions for injectivity. We prove a combination-type result: the equivariant wedge of injective diagrams over $\mathcal{O}_{C_p}$ and $\mathcal{O}_{C_q}$ with retract structure maps yields an injective diagram over $\mathcal{O}_{C_{pq}}$ with a level-wise minimal model. As a…

The Response of Planetary Atmospheres to the Impact of Icy Comets II: exo-Earth Analogues
F. Sainsbury-Martinez, C. Walsh
https://arxiv.org/abs/2507.18256 https://

The Response of Planetary Atmospheres to the Impact of Icy Comets II: exo-Earth Analogues
The orbital regime of a terrestrial planet plays a significant role in shaping its atmospheric dynamics, climate, and hence potential habitability. The orbit is also likely to play a role in shaping the response of a planetary atmosphere to the influx of material from an icy cometary impact. To investigate this response, we model the impact of an icy cometary body with an Earth-analogue exoplanet (i.e. an Earth-like planet orbiting a Sun-like star with a diurnal cycle) using a cometary impact a…

A Machine Learning Framework for Scattering Kernel Derivation Using Molecular Dynamics Data in Very Low Earth Orbit
Miklas Sch\"utte, Stephen Hocker, Hansj\"org Lipp, Johannes Roth, Stefanos Fasoulas, Marcel Pfeiffer
https://arxiv.org/abs/2507.14143

A Machine Learning Framework for Scattering Kernel Derivation Using Molecular Dynamics Data in Very Low Earth Orbit
The free molecular flow regime in VLEO makes gas-surface interactions (GSIs) crucial for satellite aerodynamic modeling. The Direct Simulation Monte Carlo (DSMC) method is required to estimate aerodynamic forces due to the breakdown of the continuum assumption. In DSMC, the Maxwell model is the most widely used approach for GSI. It simplifies the process by treating it as a superposition of diffuse and specular reflections while assuming a constant accommodation coefficient. In reality, this co…

Propagation Channel Modeling for LEO Satellite Missions Using Ray-Tracing Simulations
Wahab Khawaja, Ismail Guvenc, Rune Hylsberg Jacobsen
https://arxiv.org/abs/2507.14622

Propagation Channel Modeling for LEO Satellite Missions Using Ray-Tracing Simulations
This work presents a high-resolution, ray-tracing-based channel modeling for Low Earth Orbit (LEO) satellite-to-ground links in a suburban environment at X-band. Using simulations conducted in Wireless InSite, we develop a parametric channel model that characterizes both large- and small-scale fading effects across different satellite elevation angles. Large-scale fading incorporates attenuation due to terrain-induced shadowing and dynamic environmental factors such as weather conditions, and i…

Periodic equatorial orbits in a black bounce scenario
Anderson Bragado, Gonzalo J. Olmo
https://arxiv.org/abs/2506.15600 https://arxi…

Periodic equatorial orbits in a black bounce scenario
We study equatorial closed orbits in a popular black bounce model to see if the internal structure of these objects could lead to peculiar observable features. Paralleling the analysis of the Schwarzschild and Kerr metrics, we show that in the black bounce case each orbit can also be associated with a triplet of integers which can then be used to construct a rational number characterizing each periodic orbit. When the black bounce solution represents a traversable wormhole, we show that the pre…

Topological electronic structures of non-collinear magnetic phases in a multi-orbital Hubbard model with spin-orbit interactions
Ying-Lin Li, Po-Hao Chou, Chung-Yu Mou
https://arxiv.org/abs/2507.07447

Topological electronic structures of non-collinear magnetic phases in a multi-orbital Hubbard model with spin-orbit interactions
We explore topological electronic structure of magnetic phases in a multi-orbital Hubbard model with spin-orbit interactions. To account for more general antiferromagnetic orders that go beyond the collinear Néel order, two different spin-orbit interactions, Dresselhaus and Rashba spin-orbit interactions, are considered. By performing the canonical transformation, we derive the corresponding generalized t-J model. At half filling, employing self-consistent magnetic order calculations, we find …

An SBC-based controller and processor for the laboratory model of PRATUSH Digital Receiver
Srivani K. S., Girish B. S., Mayuri Sathyanarayana Rao, Saurabh Singh, Adarsh Kumar Dash, Narendra S., Yash Agrawal, Keerthipriya S., Somashekar R., Madhavi S., Jacob Rajan, Udaya Shankar N., Seetha S
https://arxiv.org/abs/2507.05655

An SBC-based controller and processor for the laboratory model of PRATUSH Digital Receiver
Probing ReionizATion of the Universe using Signal from Hydrogen (PRATUSH) is a proposed space-based radiometer that aims to detect the sky-averaged 21-cm signal from Cosmic Dawn - a crucial phase in the cosmic evolution of the Universe. PRATUSH will operate in the frequency range of 55-110 MHz. PRATUSH will conduct observations in low earth orbit in its first phase, followed by lunar orbit in the second phase. Digital correlation spectrometer is an integral subsystem of PRATUSH radiometer, enab…

A gravitational acceleration model to explain the double-peaked narrow emission lines shifted in the same direction
XingQian Chen, GuiLin Liao, Qi Zheng, XueGuang Zhang
https://arxiv.org/abs/2507.04320

A gravitational acceleration model to explain the double-peaked narrow emission lines shifted in the same direction
In this manuscript, we propose, for the first time, an oversimplified but potentially effective gravitational acceleration model to interpret the double-peaked narrow emission lines (DPNELs) shifted in the same direction. We adopt the framework of a merging kpc-scale dual-core system in an elliptical orbit, which has an emission-line galaxy with clear narrow line regions (NLRs) merging with a companion galaxy lacking emission line features. Due to gravitational forces induced by both galaxies o…

Proximity-Induced Rashba Spin-Orbit Interaction in BaMnO$_\text{3}|$KTaO$_\text{3}$ Heterostructure for Antiferromagnetic Spintronics
Vivek Kumar, Nirmal Ganguli
https://arxiv.org/abs/2506.01861

Proximity-Induced Rashba Spin-Orbit Interaction in BaMnO$_\text{3}|$KTaO$_\text{3}$ Heterostructure for Antiferromagnetic Spintronics
We investigate the emergence of Rashba-like spin-orbit interaction in the antiferromagnetic BaMnO$_3|$KTaO$_3$ oxide heterostructure using density functional theory (DFT). The analysis of our charge transfer model based on electrostatic potential reveals a type-I band alignment and establishes the conditions under which the interface becomes conducting. Our calculations uncover pronounced linear Rashba splitting ($α_{(1)}$ = 0.114~eVÅ) in Mn 3$d$ bands near the Fermi level, induced by pr…

A Satellite-Ground Synergistic Large Vision-Language Model System for Earth Observation
Yuxin Zhang, Jiahao Yang, Zhe Chen, Wenjun Zhu, Jin Zhao, Yue Gao
https://arxiv.org/abs/2507.05731

A Satellite-Ground Synergistic Large Vision-Language Model System for Earth Observation
Recently, large vision-language models (LVLMs) unleash powerful analysis capabilities for low Earth orbit (LEO) satellite Earth observation images in the data center. However, fast satellite motion, brief satellite-ground station (GS) contact windows, and large size of the images pose a data download challenge. To enable near real-time Earth observation applications (e.g., disaster and extreme weather monitoring), we should explore how to deploy LVLM in LEO satellite networks, and design SpaceV…

Joint UAV Trajectory Planning and LEO Satellite Selection for Data Offloading in Space-Air-Ground Integrated Networks
Boran Wang, Ziye Jia, Can Cui, Qihui Wu
https://arxiv.org/abs/2506.12750

Joint UAV Trajectory Planning and LEO Satellite Selection for Data Offloading in Space-Air-Ground Integrated Networks
With the development of low earth orbit (LEO) satellites and unmanned aerial vehicles (UAVs), the space-air-ground integrated network (SAGIN) becomes a major trend in the next-generation networks. However, due to the instability of heterogeneous communication and time-varying characteristics of SAGIN, it is challenging to meet the remote Internet of Things (IoT) demands for data collection and offloading. In this paper, we investigate a two-phase hierarchical data uplink model in SAGIN. Specifi…

Superconductivity induced by spin-orbit coupling in a two-valley ferromagnet
Zachary M Raines, Andrey V Chubukov
https://arxiv.org/abs/2507.00168 https://

Superconductivity induced by spin-orbit coupling in a two-valley ferromagnet
We analyze the origin of superconductivity in a ferromagnetically ordered state of multi-layer graphene systems placed in proximity to WSe$_2$. We model these materials by a two-valley system of interacting fermions with small pockets and Ising spin-orbit coupling. The model yields a canted ferromagnetic order, which gives rise to a half-metal. We obtain the magnon spectrum and derive two sets of magnon-mediated 4-fermion interactions: spin-flip interactions mediated by a single magnon and spin…

This https://arxiv.org/abs/2501.02485 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Semi-analytic construction of global transfers between quasi-periodic orbits in the spatial R3BP
Consider the spatial restricted three-body problem, as a model for the motion of a spacecraft relative to the Sun-Earth system. We focus on the dynamics near the equilibrium point $L_1$, located between the Sun and the Earth. We show that we can transfer the spacecraft from a quasi-periodic orbit that is nearly planar relative to the ecliptic to a quasi-periodic orbit that has large vertical amplitude, at zero energy cost. (In fact, the final orbit has the maximum vertical amplitude that can be…

Probing the Schwarzschild black hole immersed in a dark matter halo through astrophysical tests
Tursunali Xamidov, Sanjar Shaymatov, Qiang Wu, Tao Zhu
https://arxiv.org/abs/2507.13147

Probing the Schwarzschild black hole immersed in a dark matter halo through astrophysical tests
We investigate a recently derived Schwarzschild-like black hole (BH) immersed in a Dehnen-type $(α,β,γ)=(1,4,5/2)$ dark matter (DM) halo. We obtain constraints on the two model parameters, i.e., the halo core radius $r_s$ and the DM density parameter $ρ_s$ in both the weak and the strong field regimes. In the weak field, we model test particle geodesics and match the predicted perihelion shift to Mercury (Solar System) and the orbit of the S2 star data, obtaining upper limits on $r_s$ and $…

Spot-Crossing Variations Confirm a Misaligned Orbit for a Planet Transiting an M Dwarf
Patrick Tamburo, Samuel W. Yee, Juliana Garc\'ia-Mej\'ia, David Charbonneau, Allyson Bieryla, Karen A. Collins, Avi Shporer
https://arxiv.org/abs/2506.11998

Spot-Crossing Variations Confirm a Misaligned Orbit for a Planet Transiting an M Dwarf
TOI-3884~b is an unusual 6.4~R$_\oplus$ planet orbiting an M4 host, whose transits display large and persistent spot-crossing events. We used the \textit{Tierras} Observatory to monitor both the long-term photometric variability of TOI-3884 and changes in the spot-crossing events across multiple transits of the planet. We show that the star rotates with a period of $11.021 \pm 0.014$~days. We simultaneously model the rotational modulation of the star and variations in transit shapes that arise …

This https://arxiv.org/abs/2411.04178 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_…

Breaking boundaries: extending the orbit-averaged Fokker-Planck equation inside the loss cone
In this Letter, we present a new formulation of loss cone theory as a reaction-diffusion system, which accounts for loss cone events through a sink term and can be orbit-averaged. It can recover the standard approach based on boundary conditions, and is derived from a simple physical model that overcomes many of the classical theoretical constraints. We test our formulation by computing the relaxed distribution of disruptive orbits in phase space, that has a simple analytic form and matches the…

Rashba-induced spin Hall response in a disordered $WTe_2$ four-terminal structure
Swastik Sahoo, Satadeep Bhattacharjee, Bhaskaran Muralidharan
https://arxiv.org/abs/2507.01584

Rashba-induced spin Hall response in a disordered $WTe_2$ four-terminal structure
The paramount acumen for controlling spin transport properties in nonmagnetic materials is the usage of spin-orbit coupling (SOC). We propose a model to calculate the spin hall angle (SHA) for the elemental transition metal dichalcogenide compound, $WTe_2$ entrenched on the intrinsic Rashba SOC. This model, is based on the Landauer-Buttiker formalism for quantum transport, and the $4$-terminal device setup with the presence of disorder from random onsite potential fluctuations. The SHA, includi…

A Hot Jupiter with a Retrograde Orbit around a Sun-like Star and a Toy Model of Hot Jupiters in Wide Binary Star Systems
Steven Giacalone, Andrew W. Howard, Ryan A. Rubenzahl, Fei Dai, Luke B. Handley, Howard Isaacson, Samuel Halverson, Max Brodheim, Matt Brown, Theron W. Carmichael, William Deich, Benjamin J. Fulton, Steven R. Gibson, Grant M. Hill, Bradford Holden, Aaron Householder, Russ R. Laher, Kyle Lanclos, Joel Payne, Erik A. Petigura, Arpita Roy, Christian Schwab, Martin M. Si…

A Hot Jupiter with a Retrograde Orbit around a Sun-like Star and a Toy Model of Hot Jupiters in Wide Binary Star Systems
We report an observation of a transit of the hot Jupiter (HJ) KELT-23A b with the Keck Planet Finder spectrograph and a measurement of the sky-projected obliquity ($λ$) of its Sun-like ($T_{\rm eff} \approx 5900$ K) host star. We measured a projected stellar obliquity of $λ\approx 180^\circ$, indicating that the orbit of the HJ is retrograde relative to the direction of the stellar spin. Due to the slow sky-projected rotational velocity of the host star ($v \sin{i_\star} \approx 0.5$ km s$^{-…

Performance of the image persistence model for Euclid infrared detectors
B. Kubik, R. Barbier, G. Smadja, S. Ferriol, Y. Conseil, Y. Copin, W. Gillard, S. Dusini, K. Jahnke, E. Prieto, N. Auricchio, E. Balbi, A. Balestra, P. Battaglia, V. Capobianco, R. Chary, L. Corcione, F. Cogato, G. Delucchi, E. Franceschi, L. Gabarra, F. Gianotti, F. Grupp, E. Lentini, S. Ligori, E. Medinaceli, G. Morgante, K. Paterson, E. Romelli, L. Sauniere, M. Schirmer, C. Sirignano G. Testera, M. Trifoglio, A. Troja, L. Valenziano, M. Frailis, M. Scodeggio, J. -C. Barriere, M. Berthe, C. Bodendorf, A. Caillat, M. Carle, R. Casas, H. Cho, A. Costille, F. Ducret, B. Garilli, W. Holmes, F. Hormuth, A. Hornstrup, M. Jhabvala, R. Kohley, D. Le Mignant, P. B. Lilje, I. Lloro, C. Padilla, G. Polenta, J. -C. Salvignol, G. Seidel, B. Serra, A. Secroun, L. Stanco, R. Toledo-Moreo, S. Anselmi, E. Borsato, L. Caillat, C. Colodro-Conde, V. Conforti, J. E. Davies, A. Renzi, F. Dal Corso, S. Davini, A. Derosa, J. J. Diaz, S. Di Domizio, D. Di Ferdinando, R. Farinelli, A. G. Ferrari, F. Fornari, F. Giacomini, O. Krause, F. Laudisio, J. Macias-Perez, J. Marpaud, N. Mauri, R. da Silva, M. Niclas, F. Passalacqua, I. Risso, P. Lagier, A. N. Sorensen, P. Stassi, J. Steinwagner, M. Tenti, C. Thizy, S. Tosi, R. Travaglini, O. Tubio, C. Valieri, S. Ventura, C. Vescovi, J. Zoubian
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Enabling Scalable Distributed Beamforming via Networked LEO Satellites Towards 6G
Yuchen Zhang Seungnyun Kim, Tareq Y. Al-Naffouri
https://arxiv.org/abs/2506.01382

Enabling Scalable Distributed Beamforming via Networked LEO Satellites Towards 6G
In this paper, we propose scalable distributed beamforming schemes over low Earth orbit (LEO) satellite networks that rely solely on statistical channel state information for downlink orthogonal frequency division multiplexing systems. We begin by introducing the system model and presenting a pragmatic yet effective analog beamformer and user-scheduling design. We then derive a closed-form lower bound on the ergodic sum rate, based on the hardening bound, for the digital beamformer design. Next…

This https://arxiv.org/abs/2406.10565 has been replaced.
initial toot: https://mastoxiv.page/@a…

Gain-assisted control of the photonic spin Hall effect
In the photonic spin Hall effect (SHE), also known as the transverse shift, incident light photons with opposite spins are spatially separated in the transverse direction due to the spin-orbit interaction of light. Here, we propose a gain-assisted model to control the SHE in the reflected probe light. In this model, a probe light is incident on a cavity containing a three-level dilute gaseous atomic medium, where the interaction between the atom and the control field follows two-photon Raman tr…

This https://arxiv.org/abs/2505.05204 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Quantum selection of order and dynamic properties of Kitaev-Heisenberg ferromagnet on a triangular lattice
Recent interest in monolayer materials motivated a search for two-dimensional ferromagnets with sizable spin-orbit coupling. Magnetic anisotropy of exchange Hamiltonian, induced by spin-orbit coupling, may not only stabilize long-range order, but also in turn can be a source of frustration and accidental degeneracy, which is the case for the Kitaev-Heisenberg model. Here we present an extensive study of ground state and excitations of ferromagnetic anisotropic-exchange Kitaev-Heisenberg model o…

Strain-Induced Modulation of Spin Splitting and Persistent Spin Textures in Low-Symmetry 2D Hybrid Perovskites: A case study of RP phase
Shantanu Pathak, Saswata Bhattacharya
https://arxiv.org/abs/2506.01697

Strain-Induced Modulation of Spin Splitting and Persistent Spin Textures in Low-Symmetry 2D Hybrid Perovskites: A case study of RP phase
We report the observation of a persistent spin texture (PST) in pseudo-2D hybrid perovskite, characterized by significant spin splitting strength on the order of \(3 \, \text{eV} \cdot \textÅ\). Using first-principles density functional theory (DFT) calculations, complemented by a \(\mathbf{k} \cdot \mathbf{p}\) model analysis, we validate the presence of PST and its robustness under various conditions. The material's non-centrosymmetric nature and strong spin-orbit coupling ensure uniform spi…

This https://arxiv.org/abs/2501.16162 has been replaced.
initial toot: https://mastoxiv.page/@a…

Quantum Transport with Spin Orbit Coupling: New Developments in TranSIESTA
We present the implementation of spinor quantum transport within the non-equilibrium Green's function (NEGF) code TranSIESTA based on Density Functional Theory (DFT). First-principles methods play an essential role in molecular and material modelling, and the DFT+NEGF approach has become a widely-used tool for quantum transport simulation. Exisiting (open source) DFT-based quantum transport codes either model non-equilibrium/finite-bias cases in an approximate way or rely on the collinear spin …

Prediction of the SVOM MXT camera end of life spectral performance based onproton irradiation results
Clara Plasse, Diego G\"otz, Aline Meuris, Miguel Fernandez Moita, Philippe Ferrando, Leo Favier, Francesco Ceraudo
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Parameter estimation of range-migrating targets using OTFS signals from LEO satellites
Tong Ding, Luca Venturino, Emanuele Grossi
https://arxiv.org/abs/2507.02385

Parameter estimation of range-migrating targets using OTFS signals from LEO satellites
This study investigates a communication-centric integrated sensing and communication (ISAC) system that utilizes orthogonal time frequency space (OTFS) modulated signals emitted by low Earth orbit (LEO) satellites to estimate the parameters of space targets experiencing range migration, henceforth referred to as high-speed targets. Leveraging the specific signal processing performed by OTFS transceivers, we derive a novel input-output model for the echo generated by a high-speed target in scena…

Anisotropic nonlinear transport in two-dimensional ferroelectrics
Qin Zhang, Xu Chen, Mingbo Dou, M. Ye. Zhuravlev, A. V. Nikolaev, Xianjie Wang, L. L. Tao
https://arxiv.org/abs/2506.22739

Anisotropic nonlinear transport in two-dimensional ferroelectrics
The longitudinal nonlinear response plays a crucial role in the nonreciprocal charge transport and may provide a simple electrical means to probe the spin-orbit coupling, magnetic order and polarization states, etc. Here, we report on a study on the polarization and magnetic field control of longitudinal nonlinear transport in two-dimensional (2D) ferroelectrics with in-plane polarization. Based on the Boltzmann transport theory, we first study that using a general Hamiltonian model and show th…

This https://arxiv.org/abs/2412.20647 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Microscopic theory of pair density waves in spin-orbit coupled Kondo lattice
We demonstrate that the discommensuration between the Fermi surfaces of a conduction sea and an underlying spin liquid provides a natural mechanism for the spontaneous formation of pair density waves. Using a recent formulation of the Kondo lattice model which incorporates a Yao Lee spin liquid proposed by the authors, we demonstrate that doping away from half-filling induces finite-momentum electron-Majorana pair condensation, resulting in amplitude-modulated PDWs. Our approach provides a prec…