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A mathematical model is introduced which describes the dissipation of electrons in lightly doped semi-conductors. The dissipation operator is proved to be densely defined and positive and to generate a Markov semigroup of operators. The…

Mathematical Physics · Physics 2015-05-28 George Androulakis , Jean Bellissard , Christian Sadel

Partition functions of quantum critical systems, expressed as conformal thermal tensor networks, are defined on various manifolds which can give rise to universal entropy corrections. Through high-precision tensor network simulations of…

Strongly Correlated Electrons · Physics 2017-11-29 Lei Chen , Hao-Xin Wang , Lei Wang , Wei Li

One-dimensional semiconductors are characterized by strongly bound excitons. Therefore, the Frenkel regime of excitons localized within a few unit cells is readily reached and traditional Wannier exciton models become inadequate. In the…

Mesoscale and Nanoscale Physics · Physics 2026-01-15 Thomas Garm Pedersen

We investigate the influence of a time dependent, homogeneous electric field on scattering properties of non-interacting electrons in an arbitrary static potential. We develop a method to calculate the (Keldysh) Green's function in two…

Disordered Systems and Neural Networks · Physics 2009-10-30 Tobias Brandes

The electroporoelasticity model, which couples Maxwell's equations with Biot's equations, plays a critical role in applications such as water conservancy exploration, earthquake early warning, and various other fields. This work focuses on…

Numerical Analysis · Mathematics 2025-02-25 Xuan Liu , Yongkui Zou , Ran Zhang , Yanzhao Cao , Amnon J. Meir

We show that the two recently proposed methods to compute Renyi entanglement entropies in the realm of determinant quantum Monte Carlo methods for fermions are in principle equivalent, but differ in sampling strategies. The analogy allows…

Strongly Correlated Electrons · Physics 2015-04-08 Fakher F. Assaad

We consider the universal logarithmic divergent term in the entanglement entropy of gauge fields in the Minkowski vacuum with an entangling sphere. Employing the mapping in arXiv:1102.0440, we analyze the corresponding thermal entropy on…

High Energy Physics - Theory · Physics 2015-06-17 Christopher Eling , Yaron Oz , Stefan Theisen

We propose an analytical model devoted to explain the anisotropy of the electrical resistance observed below the critical temperature in granular high-Tc superconductors submitted to a magnetic field H. Reported experimental results…

Superconductivity · Physics 2009-11-07 D. Daghero , P. Mazzetti , A. Stepanescu , P. Tura , A. Masoero

We show that the response to an electric field, in models of the Integral Quantum Hall effect, is analytic in the field and has isolated essential singularity at zero field. We also study the breakdown of Chern numbers associated with the…

Mathematical Physics · Physics 2008-11-26 Joseph E. Avron , Zvi Kons

We show that the electrocaloric (EC) effect -- e.g., the temperature change experienced by an insulator upon application of an electric bias -- lends itself to a straightforward interpretation when expressed as a Taylor series in the…

Materials Science · Physics 2020-12-09 Mónica Graf , Jorge Íñiguez

We introduce a tensor network method for approximating thermal equilibrium states of quantum many-body systems at low temperatures. Whereas the usual approach starts from infinite temperature and evolves the state in imaginary time (toward…

Quantum Physics · Physics 2025-10-23 Denise Cocchiarella , Mari Carmen Bañuls

The spectral response and directional scattering of semiconductor-oxide core-shell spherical microparticles embedded in an insulating medium at low volume fraction are computed using Mie Theory and Multiscale Modelling methods. The surface…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Kevin Conley , Vaibhav Thakore , Tapio Ala-Nissila

We consider a thermodynamically correct framework for electro-energy-reaction-diffusion systems, which feature a monotone entropy functional while conserving the total charge and the total energy. For these systems, we construct a relative…

Analysis of PDEs · Mathematics 2025-08-08 Michael Kniely

The coherence length of the thermal electromagnetic field near a planar surface has a minimum value related to the nonlocal dielectric response of the material. We perform two model calculations of the electric energy density and the…

Optics · Physics 2009-10-17 Carsten Henkel , Karl Joulain

We investigate whether Effective Field Theory (EFT) approaches, which have been useful in examining inflation and dark energy, can also be used to establish a systematic approach to inflationary reheating. We consider two methods. First, we…

High Energy Physics - Theory · Physics 2017-12-27 Ogan Ozsoy , John T. Giblin , Eva Nesbit , Gizem Sengor , Scott Watson

A Cahn-Hilliard-Allen-Cahn phase-field model coupled with a heat transfer equation, particularly with full non-diagonal mobility matrices, is studied. After reformulating the problem w.r.t. the inverse of temperature, we proposed and…

Numerical Analysis · Mathematics 2024-08-01 Aaron Brunk , Oliver Habrich , Timileyin David Oyedeji , Yangyiwei Yang , Bai-Xiang Xu

Heat-capacity measurements are a useful tool for understanding the complex phase behaviour of systems containing one-dimensional motifs. Here we study the signature within such measurements of the incorporation of defects into…

Statistical Mechanics · Physics 2022-12-14 Johnathan M. Bulled , Mario Falsaperna , Paul J. Saines , Andrew L. Goodwin

Finite temperature density functional theory requires representations for the internal energy, entropy, and free energy as functionals of the local density field. A central formal difficulty for an orbital-free representation is…

Statistical Mechanics · Physics 2011-05-12 James W. Dufty , S. B. Trickey

In the recent paper we explained why the maximum bulk resistivity of topological insulators (TIs)is so small [B. Skinner, T. Chen, and B. I. Shklovskii, Phys. Rev. Lett. 109, 176801 (2012)]. Using the model of completely compensated…

Strongly Correlated Electrons · Physics 2013-04-22 Tianran Chen , B. I. Shklovskii

Non-classical states are of practical interest in quantum computing and quantum metrology. These states can be detected through their Wigner function negativity in some regions. In this paper, we calculate the ground state of the…

Quantum Physics · Physics 2021-02-03 Ramón López-Peña , Sergio Cordero , Eduardo Nahmad-Achar , Octavio Castaños