Tootfinder

Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians
Yohance A. P. Osborne, Iain Smears
https://arxiv.org/abs/2506.03039

Rates of convergence of finite element approximations of second-order mean field games with nondifferentiable Hamiltonians
We prove a rate of convergence for finite element approximations of stationary, second-order mean field games with nondifferentiable Hamiltonians posed in general bounded polytopal Lipschitz domains with strongly monotone running costs. In particular, we obtain a rate of convergence in the $H^1$-norm for the value function approximations and in the $L^2$-norm for the approximations of the density. We also establish a rate of convergence for the error between the exact solution of the MFG system…

Phonon-Induced Current Noise in Single-Walled Carbon Nanotubes across the Ballistic-Diffusive Crossover
Aina Sumiyoshi, Takahiro Yamamoto
https://arxiv.org/abs/2506.02569

Phonon-Induced Current Noise in Single-Walled Carbon Nanotubes across the Ballistic-Diffusive Crossover
We theoretically elucidate the system length ($L$) dependence of phonon-induced current noise in carbon nanotubes at room temperature over a broad range, encompassing the quantum ballistic and classical diffusive regimes. The power spectral density for the current noise is maximally enhanced when $L$ is comparable to the mean free path $L_0$ of an electron. In the ballistic limit of $L/L_0\ll 1$, the power spectral density increases in proportion to $L$, whereas in the diffusive limit of $L/L_0…

A Descriptor Is All You Need: Accurate Machine Learning of Nonadiabatic Coupling Vectors
Jakub Martinka, Lina Zhang, Yi-Fan Hou, Miko{\l}aj Martyka, Ji\v{r}\'i Pittner, Mario Barbatti, Pavlo O. Dral
https://arxiv.org/abs/2505.23344

A Descriptor Is All You Need: Accurate Machine Learning of Nonadiabatic Coupling Vectors
Nonadiabatic couplings (NACs) play a crucial role in modeling photochemical and photophysical processes with methods such as the widely used fewest-switches surface hopping (FSSH). There is therefore a strong incentive to machine learn NACs for accelerating simulations. However, this is challenging due to NACs' vectorial, double-valued character and the singularity near a conical intersection seam. For the first time, we design NAC-specific descriptors based on our domain expertise and show tha…

This https://arxiv.org/abs/2409.05693 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Photoluminescence-Based Gas Sensing with MoS2 Monolayers
Two-dimensional transition metal dichalcogenides (TMDs) are highly appealing for gas sensors, lab-on-a-chip devices and bio-sensing applications because of their strong light-matter interaction and high surface-to-volume ratio. The ability to grow these van der Waals materials on different substrates and waveguide geometries opens a horizon toward scalable on-chip photonic nanodevices. Here, we report on a versatile technique for real time remote optical gas sensing using two-dimensional TMDs. …

This https://arxiv.org/abs/2505.16020 has been replaced.
initial toot: https://mastoxiv.page/@arX…

Holstein mechanism in single-site model with unitary evolution
We consider the Holstein mechanism in single electron (one-site) system with unitary evolution that is intrinsic to both the fermion and boson operators in the case of nonadiabatic limit. The unitary dynamics as well as boson-frequency-dependence provide the evidence of quantum phase transition from the distinct behaviors at short-time and long-time stages, which exhibit power law and exponential law decay, respectively, as can be seem from the polaronic shift.

This https://arxiv.org/abs/2501.14597 has been replaced.
initial toot: https://mastoxiv.page/@a…

Phase-controlled minimal Kitaev chain in multiterminal Josephson junctions
We propose a nanodevice based on multi-terminal Josephson junctions for the creation and detection of poor man's Majorana (PMM) modes. The device consists of a double three-terminal Josephson junction (3TJJ) embedded in a planar semiconductor that engineers a two-site Kitaev chain. We identify the conditions necessary for the emergence of PMM modes by precisely tuning the superconducting phases of the terminals and the inter-junction coupling between the 3TJJs. To validate our findings, we perf…