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An effective Chern-Simons theory for the quantum Hall states with edges is studied by treating the edge and bulk properties in a unified fashion. An exact steady-state solution is obtained for a half-plane geometry using the Wiener-Hopf…

Condensed Matter · Physics 2009-10-28 Jun'ichi Shiraishi , Mahito Kohmoto

Understanding topological phases of matter is essential for advancing both the fundamental theory and practical applications of condensed matter physics. Recently, a theoretical framework for a quantum Hall system with an expanding edge…

Mesoscale and Nanoscale Physics · Physics 2025-06-26 Yuuki Sugiyama , Tokiro Numasawa

We present a model independent, operator algebraic approach to non-equilibrium quantum thermodynamics within the framework of two-dimensional Conformal Field Theory. Two infinite reservoirs in equilibrium at their own temperatures and…

High Energy Physics - Theory · Physics 2017-09-13 Stefan Hollands , Roberto Longo

The study of unconventional phases and elucidation of correspondences between topological invariants and their intriguing properties are pivotal in topological physics. Here, we investigate a complex exceptional ring (CER), composed of a…

Quantum Gases · Physics 2025-02-18 Zhoutao Lei , Yuangang Deng

We establish the existence of a topological classification of many-particle quantum systems undergoing unitary time evolution. The classification naturally inherits phenomenology familiar from equilibrium -- it is robust against disorder…

Strongly Correlated Electrons · Physics 2019-02-26 Max McGinley , Nigel R. Cooper

A new variational technique determines the general condition of equilibrium of a rotating gravito-electromagnetic system and provides a modified dynamical equation of motion from where it emerges a so-far unforseen topological torsion…

Space Physics · Physics 2019-03-25 Mario J. Pinheiro

We propose a criterion to determine the existence of zero-energy edge states for a class of particle-hole symmetric systems. A loop is assigned for each system, and its topology and a symmetry play an essential role. Applications to d-wave…

Superconductivity · Physics 2009-11-10 S. Ryu , Y. Hatsugai

The chiral topological superconductor, which supports propagating nontrivial edge modes while maintaining a gapped bulk, can be realized hybridizing a quantum-anomalous-Hall thin slab with an ordinary $s$-wave superconductor. We show that…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Daniele Di Miceli , Llorenç Serra

In solid state physics, any phase transition is commonly observed as a change in the microscopic distribution of charge, spin, or current. Here we report the nature of an exotic order parameter inherent in the localized electron orbitals…

Strongly Correlated Electrons · Physics 2023-07-03 Shintaro Hoshino , Michi-To Suzuki , Hiroaki Ikeda

We consider accelerated and rotating media of weakly interacting fermions in local thermodynamic equilibrium. Kinetic properties of this media are described by covariant Wigner function calculated on the basis of relativistic distribution…

High Energy Physics - Theory · Physics 2018-05-02 George Prokhorov , Oleg Teryaev

It is now well-established that photonic systems can exhibit topological energy bands; similar to their electronic counterparts, this leads to the formation of chiral edge modes which can be used to transmit light in a manner that is…

Mesoscale and Nanoscale Physics · Physics 2016-11-09 Vittorio Peano , Martin Houde , Florian Marquardt , Aashish A. Clerk

Flat bands and dispersive Dirac bands are known to coexist in the electronic bands in a two-dimensional kagome lattice. Including the relativistic spin-orbit coupling, such systems often exhibit nontrivial band topology, allowing for…

Strongly Correlated Electrons · Physics 2022-08-09 Satoshi Okamoto , Narayan Mohanta , Elbio Dagotto , D. N. Sheng

We present a new approach to treat correlations in nonequilibrium quantum many-particle system. The method is based on ideas of configuration interaction theory of exact nonperturbative ground state electronic structure calculations. We use…

Mesoscale and Nanoscale Physics · Physics 2014-05-20 Alan A. Dzhioev , D. S. Kosov

Excitations of ordered insulating magnets gain renewed interest due to their potential topological properties and the natural realization of magnetic analogues of the celebrated topological models. In this paper we go beyond these parallels…

Strongly Correlated Electrons · Physics 2019-01-16 Judit Romhányi

A spin-$\frac{1}{2}$ subsystem conjoined along a cut with a subsystem of spinless fermions in the state of topological insulator is studied on a honeycomb lattice. The model describes a junction between a 2D topological insulator and a 2D…

Strongly Correlated Electrons · Physics 2015-10-27 Igor O. Slieptsov , Igor N. Karnaukhov

Current carrying chiral edge states in quantum Hall systems have fascinating properties that are usually studied by electron spectroscopy and interferometry. Here we demonstrate that electron occupation, current, and electron coherence in…

Mesoscale and Nanoscale Physics · Physics 2024-04-19 Ashutosh Singh , Maria Sebastian , Mikhail Tokman , Alexey Belyanin

We discuss a numerical method to study electron transport in mesoscopic devices out of equilibrium. The method is based on the solution of operator equations of motion, using efficient Chebyshev time propagation techniques. Its peculiar…

Mesoscale and Nanoscale Physics · Physics 2010-02-20 A. Alvermann , H. Fehske

The phenomenological equations of hydrodynamics describe emergent behavior in many body systems. Their forms and the associated phenomena are well established when the quiescent state of the system is one of thermodynamic equilibrium, yet…

Soft Condensed Matter · Physics 2023-06-28 Anthony R. Poggioli , David T. Limmer

Non-equilibrium steady states of quantum fields on star graphs are explicitly constructed. These states are parametrized by the temperature and the chemical potential, associated with each edge of the graph. Time reversal invariance is…

Mathematical Physics · Physics 2011-09-23 Mihail Mintchev

Topological phases exhibit a plethora of striking phenomena including disorder-robust localization and propagation of waves of various nature. Of special interest are the transitions between the different topological phases which are…

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