Tootfinder

Entropy-driven phase transition in a non-collinear antiferromagnet due to higher-order exchange interactions
Leo Kollwitz, Moritz A. Goerzen, Bjarne Beyer, Hendrik Schrautzer, Stefan Heinze
https://arxiv.org/abs/2508.12829

Entropy-driven phase transition in a non-collinear antiferromagnet due to higher-order exchange interactions
The triple-Q state arises due to the superposition of three symmetry equivalent spin spirals stabilized by higher-order exchange interactions. It has been predicted more than 20 years ago but was only recently discovered in a Mn monolayer on the Re(0001) surface. To date little is known about the thermodynamic properties of this intriguing non-coplanar spin state. Here, we reveal a low-temperature phase transition between the triple-Q and the row-wise antiferromagnetic state in this system via …

Entanglement entropy of particles in a perturbative scattering
Jinbo Fan, Xuanting Ji, Xi-Jun Ren
https://arxiv.org/abs/2508.12612 https://arxiv.org/pdf/25…

Entanglement entropy of particles in a perturbative scattering
The entanglement among scattering particles in an exemplary quantum electrodynamics (QED) process is studied perturbatively. To increase the computational accuracy, we need to consider virtual photon loop diagrams, which lead to infrared divergence. Therefore, when including higher-order corrections in perturbative theory, we use the dressed state formalism proposed by Chuang and Faddeev-Kulish, which provides a finite S-matrix element. The entanglement entropy calculation shows that the entang…

Exact kinetic propagators for coherent state complex Langevin simulations
Thomas G. Kiely, Ethan C. McGarrigle, Glenn H. Fredrickson
https://arxiv.org/abs/2508.11057 https://

Exact kinetic propagators for coherent state complex Langevin simulations
We introduce and benchmark an improved algorithm for complex Langevin simulations of bosonic coherent state path integrals. Our approach utilizes a Strang splitting of the imaginary-time propagator rather than the conventional linear-order Taylor expansion, allowing us to construct an action that incorporates higher-order terms at negligible computational cost. The resulting algorithm enjoys guaranteed linear stability independent of the imaginary-time discretization, enabling more resource-eff…

Investigating the Impact of Higher-Order Phase Transitions in Binary Neutron-Star Mergers
P. Hammond, A. Clevinger, M. Albino, V. Dexheimer, S. Bernuzzi, C. Brown, W. Cook, B. Daszuta, J. Fields, E. Grundy, C. Provid\^encia, D. Radice, A. Steiner
https://arxiv.org/abs/2508.10698

Investigating the Impact of Higher-Order Phase Transitions in Binary Neutron-Star Mergers
In this paper we investigate quark deconfinement in neutrons stars and their mergers, focusing on the effects of higher orders for the phase transition between hadronic and quark matter. The different descriptions we use to describe matter microscopically contain varying particle degrees of freedom, including nucleons, hyperons, Delta baryons, and light and strange quarks. We use tabulated equations of state from the CompOSE database in which the quark deconfinement phase transition is describe…

Statistical Properties of Current Noise Induced by Electron-Phonon Scattering in Metallic Carbon Nanotubes
Aina Sumiyoshi, Keisuke Ishizeki, Takahiro Yamamoto
https://arxiv.org/abs/2508.11201

Statistical Properties of Current Noise Induced by Electron-Phonon Scattering in Metallic Carbon Nanotubes
We theoretically investigate current noise in metallic carbon nanotubes induced by electron-phonon scattering, focusing on the probability density function (PDF) of the current that characterizes the nonequilibrium steady state. Quantum transport simulations combined with analyses of higher-order statistical moments reveal that the PDF evolves continuously from a Gaussian distribution in the ballistic regime to a non-Gaussian gamma distribution in the diffusive regime. In the crossover regime, …

Polyharmonic Nonlinear Scalar Field Equations
Alessandro Cannone, Silvia Cingolani, Jaros{\l}aw Mederski
https://arxiv.org/abs/2507.12962 https://

Polyharmonic Nonlinear Scalar Field Equations
In this paper, we present a result on the existence of ground state solutions for the polyharmonic nonlinear equation $(-Δ)^m u=g(u)$, assuming that $g$ has a general subcritical growth at infinity, inspired by Berestycki and Lions \cite{BerestyckiLions}. In comparison with the biharmonic case studied in \cite{Med-Siem}, the presence of a higher-order operator gives rise to several analytical challenges, which are overcome in the present work. Furthermore, we establish a new polyharmonic logar…

Precision phenomenology at multi-TeV muon colliders
Stefano Frixione, Fabio Maltoni, Davide Pagani, Marco Zaro
https://arxiv.org/abs/2506.10733 https://

Precision phenomenology at multi-TeV muon colliders
Future lepton colliders, such as those based on linear $e^+e^-$ or circular $μ^+μ^-$ accelerators, are expected to attain centre-of-mass energies in the multi-TeV range. In this regime the impact of QED and of weak radiation, in both the initial and the final state, can become a leading effect. By employing a general framework presented in a companion paper - suitable for any flavour of colliding leptons - we improve next-to-leading order electroweak predictions by including higher-order cont…

Critically-Damped Higher-Order Langevin Dynamics
Benjamin Sterling, Chad Gueli, M\'onica F. Bugallo
https://arxiv.org/abs/2506.21741 https://

Critically-Damped Higher-Order Langevin Dynamics
Denoising Diffusion Probabilistic Models represent an entirely new class of generative AI methods that have yet to be fully explored. Critical damping has been successfully introduced in Critically-Damped Langevin Dynamics (CLD) and Critically-Damped Third-Order Langevin Dynamics (TOLD++), but has not yet been applied to dynamics of arbitrary order. The proposed line of work generalizes Higher-Order Langevin Dynamics (HOLD), a recent state-of-the-art diffusion method, by introducing the concept…

Equations of state and stability condition of mixed p-spin glass model
Ali Talebi
https://arxiv.org/abs/2506.10579 https://arxiv.org/…

Equations of state and stability condition of mixed p-spin glass model
The Sherrington-Kirkpatrick (SK) is a foundational model for understanding spin glass systems. It is based on the pairwise interaction between each two spins in a fully connected lattice with quenched disordered interactions. The nature of long-range interaction among spins in the (SK) model simplifies the study of this system by eliminating fluctuations. An advanced (SK) model, known as the p-spin model, introduces higher-order interactions that involve the interaction of P spins. This researc…

Geometrization of Higher-Order Linear Control Laws for Attitude Control on $\mathsf{SO(3)}$
Farooq Aslam, Hafiz Zeeshan Iqbal Khan, Muhammad Farooq Haydar, Suhail Akhtar, Jamshed Riaz
https://arxiv.org/abs/2507.00997

Geometrization of Higher-Order Linear Control Laws for Attitude Control on $\mathsf{SO(3)}$
This paper presents a theoretical framework for analyzing the stability of higher-order geometric nonlinear control laws for attitude control on the Special Orthogonal Group $\mathrm{SO(3)}$. In particular, the paper extends existing results on the analysis of PID-type geometric nonlinear control laws to more general higher-order dynamic state-feedback compensators on $\mathrm{SO(3)}$. The candidate Lyapunov function is motivated by quadratic Lyapunov functions of the form $V(x)=x^{\top}Px$ typ…

Higher-Order Neuromorphic Ising Machines -- Autoencoders and Fowler-Nordheim Annealers are all you need for Scalability
Faiek Ahsan, Saptarshi Maiti, Zihao Chen, Jakob Kaiser, Ankita Nandi, Madhuvanthi Srivatsav, Johannes Schemmel, Andreas G. Andreou, Jason Eshraghian, Chetan Singh Thakur, Shantanu Chakrabartty
https://arxiv.org…

Higher-Order Neuromorphic Ising Machines -- Autoencoders and Fowler-Nordheim Annealers are all you need for Scalability
We report a higher-order neuromorphic Ising machine that exhibits superior scalability compared to architectures based on quadratization, while also achieving state-of-the-art quality and reliability in solutions with competitive time-to-solution metrics. At the core of the proposed machine is an asynchronous autoencoder architecture that captures higher-order interactions by directly manipulating Ising clauses instead of Ising spins, thereby maintaining resource complexity independent of inter…

A More Convex Ising Formulation of Max-3-Cut Using Higher-Order Spin Interactions
Robbe De Prins, Guy Van der Sande, Peter Bienstman, Thomas Van Vaerenbergh
https://arxiv.org/abs/2508.00565

A More Convex Ising Formulation of Max-3-Cut Using Higher-Order Spin Interactions
Many combinatorial optimization problems (COPs) are naturally expressed using variables that take on more than two discrete values. To solve such problems using Ising machines (IMs) - specialized analog or digital devices designed to solve COPs efficiently - these multi-valued integers must be encoded using binary spin variables. A common approach is one-hot encoding, where each variable is represented by a group of spins constrained so that exactly one spin is in the "up" state. However, this …

QED calculations of the $2p$-$2s$ transition energies in Li-like ions
V. A. Yerokhin, Z. Harman, C. H. Keitel
https://arxiv.org/abs/2507.21718 https://arxiv.org/pdf/2507.21718 https://arxiv.org/html/2507.21718
arXiv:2507.21718v1 Announce Type: new
Abstract: Systematic QED calculations of ionization energies of the $2s$, $2p_{1/2}$, and $2p_{3/2}$ states, as well as the $2p_{1/2}$--$2s$ and $2p_{3/2}$--$2p_{1/2}$ transition energies are performed for Li-like ions with the nuclear charge numbers $Z = 10$--$100$. The convergence of QED perturbative expansion is improved by using the extended Furry picture, which starts from the Dirac equation with a local screening potential. An ab initio treatment is accomplished for one- and two-photon electron-structure QED effects and the one-photon screening of the self-energy and vacuum-polarization corrections. This is complemented with an approximate treatment of the two-photon QED screening and higher-order (three or more photon) electron-structure effects. As a result, the obtained theoretical predictions improve upon the accuracy achieved in previous calculations. Comparison with available experimental data shows a good agreement between theory and experiment. In most cases, the theoretical values surpass the experimental results in precision, with only a few exceptions. In the case of uranium and bismuth, the comparison provides one of the most stringent tests of bound-state QED in the strong-field regime. Alternatively, the obtained results can be employed for high-precision determinations of nuclear charge radii.
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Neutron Star Core-Crust Transition and Crustal Moment of Inertia: Systematic Implications of Higher-Order Symmetry Energy in the Nuclear Equation of State
W. M. Seif, A. S. Hashem
https://arxiv.org/abs/2507.18384

Neutron Star Core-Crust Transition and Crustal Moment of Inertia: Systematic Implications of Higher-Order Symmetry Energy in the Nuclear Equation of State
We investigate how higher-order symmetry-energy coefficients of the equation of state (EOS) describing $npeμ$ core matter impact key neutron star (NS) properties at its crust inner edge, its moment of inertia and corresponding crustal fraction, threshold conditions for direct Urca process, adiabatic index, and related structure observables. Our analysis employs a comprehensive set of CDM3Y-IVF1 equations of state, derived from the M3Y-Paris nucleon-nucleon interaction within a non-relativistic…

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initial toot: https://mastoxiv.page/@arX…

Higher Hall conductivity from a single wave function: Obstructions to symmetry-preserving gapped edge of (2+1)D topological order
A (2+1)D topological ordered phase with U(1) symmetry may or may not have a symmetric gapped edge state, even if both thermal and electric Hall conductivity are vanishing. It is recently discovered that there are "higher" versions of Hall conductivity valid for fermionic fractional quantum Hall (FQH) states, which obstructs symmetry-preserving gapped edge state beyond thermal and electric Hall conductivity. In this paper, we show that one can extract higher Hall conductivity from a single wave …

Topological phase transition induced by twisting unit cells in photonic Lieb lattice
Zhi-Kang Xiong, Y. Liu, Xiying Fan, Bin Zhou
https://arxiv.org/abs/2506.22878

Topological phase transition induced by twisting unit cells in photonic Lieb lattice
Topological photonics was embarked from realizing the first-order chiral edge state in gyromagnetic media, but its higher-order states were mostly studied in dielectric lattice instead. In this paper in a series of gyromagnetic Lieb photonic crystals, we theoretically unveil topological phases which include the first-order Chern, and the second-order dipole, quadrupole phases. Concretely, for the primitive Lieb lattice, and for its deformation by breaking spatial symmetry through unit-cell twis…

The Quadrupole Moment of Higher-Order Topological Insulator at Finite temperature
Yiting Deng, Yan He
https://arxiv.org/abs/2508.00277 https://arxiv.org/pd…

The Quadrupole Moment of Higher-Order Topological Insulator at Finite temperature
We study the higher-order topological insulators at finite temperature based on a generalized real-space quadrupole moment, which extends the ground state expectations to ensemble averages. Our study reveals that chiral symmetry alone dictates that the quadrupole moment must be quantized to two values of $0$ and $1/2$, even at finite temperature. It is found that finite temperature can induce a topological phase transition from non-trivial to trivial. Furthermore, we found that the anisotropic …

Rovibrational computations for He$_2^ $ X$^ \ \Sigma_\mathrm{u}^ $ including non-adiabatic, relativistic and QED corrections
Edit M\'atyus, \'Ad\'am Marg\'ocsy
https://arxiv.org/abs/2506.19120

Rovibrational computations for He$_2^+$ X$^+\ Σ_\mathrm{u}^+$ including non-adiabatic, relativistic and QED corrections
We report the potential energy curve, the diagonal Born-Oppenheimer, non-adiabatic mass, relativistic, and leading-order QED corrections for the ground electronic state of the helium dimer cation; the higher-order QED and finite-nuclear size effects are also estimated. The computations are carried out with an improved error control and over a much broader configuration range compared to earlier work [D. Ferenc, V. I. Korobov, and E. Mátyus, Phys. Rev. Lett. 125, 213001 (2020)]. As a result, al…