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If the von Neumann equation is modified by time dependent statistical weights, the time rate of entropy, the entropy exchange and production of a Schottky system are derived whose Hamiltonian does not contain the interaction with the…

量子物理 · 物理学 2019-01-30 Wolfgang Muschik

While true phase transitions are forbidden in one-dimensional systems with short-range interactions, several models have recently been shown to exhibit sharp yet analytic thermodynamic anomalies that mimic thermal phase transitions. We show…

统计力学 · 物理学 2026-01-21 Onofre Rojas

Understanding correlation effects in topological phases of matter is at the forefront of current research in condensed matter physics. Here we try to clarify some subtleties in studying topological behaviors of interacting Weyl semimetals.…

强关联电子 · 物理学 2019-12-30 Min-Fong Yang

A metal near the topological transition can be loosely viewed as consisting of two groups of electrons. First group are "bulk" electrons occupying most of the Brillouin zone. Second group are electrons with wave vectors close to the…

无序系统与神经网络 · 物理学 2019-10-30 C. C. A. Houghton , E. G. Mishchenko , M. E. Raikh

Uncovering topologically nontrivial states in nature is an intriguing and important issue in recent years. While most studies are based on the topological band insulators, the topological state in strongly correlated low-dimensional systems…

强关联电子 · 物理学 2015-03-18 Hai-Ping Hu , Chen Cheng , Hong-Gang Luo , Shu Chen

We investigate the effects of electronic correlations on the Bernevig-Hughes-Zhang model using the real-space density matrix renormalization group (DMRG) algorithm. We introduce a method to probe topological phase transitions in systems…

强关联电子 · 物理学 2024-09-17 Rahul Soni , Harini Radhakrishnan , Bernd Rosenow , Gonzalo Alvarez , Adrian Del Maestro

We systematically investigate the topological and localization properties of a quadrupolar insulator represented by the celebrated Benalcazar-Bernevig-Hughes model in presence of a quasiperiodic disorder instilled in its hopping amplitude.…

介观与纳米尺度物理 · 物理学 2024-06-21 Srijata Lahiri , Saurabh Basu

We explore the ground-state properties of a one-dimensional model with two orbitals per site, where, in addition to atomic energies $\pm M$, intra- and inter-orbital hoppings, the intra-orbital Hubbard ($U$) and nearest-neighbor…

强关联电子 · 物理学 2025-04-07 Roberta Favata , Davide Piccioni , Alberto Parola , Federico Becca

Topological phases and topological phase transitions (TPT) are among the most fantastic phenomena in Nature. Here we show that injecting a current may lead to new topological phases, especially new gapless topological metallic phases with…

介观与纳米尺度物理 · 物理学 2023-03-14 Fadi Sun , Jinwu Ye

Time-reversal symmetric topological insulator is a novel state of matter that a bulk-insulating state carries dissipationless spin transport along the surfaces, embedded by the $Z_2$ topological invariant. In the noninteracting limit, this…

强关联电子 · 物理学 2015-03-12 Hsin-Hua Lai , Hsiang-Hsuan Hung

Equilibrium phase transitions may be defined as nonanalytic points of thermodynamic functions, e.g., of the canonical free energy. Given a certain physical system, it is of interest to understand which properties of the system account for…

统计力学 · 物理学 2008-01-08 Michael Kastner

We introduce a quasiclassical Green function approach describing the unitary yet irreversible dynamics of quantum systems effectively acting as their own environment. Combining a variety of concepts of quantum many-body theory, notably the…

介观与纳米尺度物理 · 物理学 2025-09-09 Alexander Altland , Kun Woo Kim , Tobias Micklitz

The dynamics and the thermodynamics of particles/spins interacting via long-range forces display several unusual features with respect to systems with short-range interactions. The Hamiltonian Mean Field (HMF) model, a Hamiltonian system of…

统计力学 · 物理学 2016-08-31 Alessandro Pluchino , Vito Latora , Andrea Rapisarda

The topological invariant of a topological insulator (or superconductor) is given by the number of symmetry-protected edge states present at the Fermi level. Despite this fact, established expressions for the topological invariant require…

介观与纳米尺度物理 · 物理学 2013-01-11 I. C. Fulga , F. Hassler , A. R. Akhmerov

The theory of almost commuting matrices can be used to quantify topological obstructions to the existence of localized Wannier functions with time-reversal symmetry in systems with time-reversal symmetry and strong spin-orbit coupling. We…

介观与纳米尺度物理 · 物理学 2015-05-19 T. A. Loring , M. B. Hastings

Quasistationary states are long-lived nonequilibrium states, observed in some systems with long-range interactions under deterministic Hamiltonian evolution. These intriguing non-Boltzmann states relax to equilibrium over times which…

统计力学 · 物理学 2015-03-17 Shamik Gupta , David Mukamel

Topological phases are characterized by their entanglement properties, which is manifest in a direct relation between entanglement spectra and edge states discovered by Li and Haldane. We propose to leverage the power of synthetic quantum…

量子气体 · 物理学 2022-05-04 Torsten V. Zache , Christian Kokail , Bhuvanesh Sundar , Peter Zoller

We construct a topological invariant that classifies density matrices of symmetry-protected topological orders in two-dimensional fermionic systems. As it is constructed out of the previously introduced Uhlmann phase, we refer to it as the…

强关联电子 · 物理学 2014-08-26 O. Viyuela , A. Rivas , M. A. Martin-Delgado

Topological states of matter are characterized by global topological invariants which change their value across a topological quantum phase transition. It is commonly assumed that the transition between topologically distinct noninteracting…

介观与纳米尺度物理 · 物理学 2017-04-19 Vladimir Juricic , D. S. L. Abergel , A. V. Balatsky

We investigate the ground-state phase diagram of the spinless Haldane-Hubbard model in the presence of quenched disorder, contrasting results obtained from both exact diagonalization as well as density matrix renormalization group, applied…

强关联电子 · 物理学 2021-11-23 Tian-Cheng Yi , Shijie Hu , Eduardo V. Castro , Rubem Mondaini