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Persistent currents circulate continuously without requiring external power sources. Here, we extend their theory to include dissipation within the framework of non-Hermitian quantum Hamiltonians. Using Green's function formalism, we…

Quantum Physics · Physics 2024-08-27 Pei-Xin Shen , Zhide Lu , Jose L. Lado , Mircea Trif

Progress in the understanding of quantum critical properties of itinerant electrons has been hindered by the lack of effective models which are amenable to controlled analytical and numerically exact calculations. Here we establish that the…

Disordered Systems and Neural Networks · Physics 2016-02-02 J. H. Pixley , Pallab Goswami , S. Das Sarma

One of the unique features of Dirac Fermions is pseudo-diffusive transport by evanescent modes at low Fermi energies when the disorder is low. At higher Fermi energies i.e. carrier densities, the electrical transport is diffusive in nature…

Mesoscale and Nanoscale Physics · Physics 2020-07-15 Saurav Islam , Semonti Bhattacharyya , Hariharan Nhalil , Suja Elizabeth , Arindam Ghosh

The energy-dependent electrical conductivity in spin-1 chiral fermion systems with disorder is studied using the self-consistent Born approximation. A distinct cusp-like feature appears at an energy different from the band-crossing point,…

Mesoscale and Nanoscale Physics · Physics 2025-11-24 Risako Kikuchi , Junya Endo , Ai Yamakage

In BaNiS2 a Dirac nodal-line band structure exists within a two-dimensional Ni square lattice system, in which significant electronic correlation effects are anticipated. Using scanning tunneling microscopy, we discover signs of…

Strongly Correlated Electrons · Physics 2022-12-28 C. J. Butler , Y. Kohsaka , Y. Yamakawa , M. S. Bahramy , S. Onari , H. Kontani , T. Hanaguri , S. Shamoto

Nonequilibrium electronic transport through a quantum dot coupled to ferromagnetic leads (electrodes) is studied theoretically by the nonequilibrium Green function technique. The system is described by the Anderson model with arbitrary…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 R. Swirkowicz , M. Wilczynski , J. Barnas

Exceptional points (EPs) are central to non-Hermitian physics because of their unique properties and broad application prospects. While extensively studied in parity-time ($\mathcal{P}\mathcal{T}$)-symmetric systems and under Markovian…

Optics · Physics 2026-01-15 H. Z. Shen , X. C. Zhang , L. Y. Ning , Zhi-Guang Lu , Yan-Hui Zhou , Cheng Shang

We report electronic transport measurements on two-dimensional electron gases in a Ga[Al]As heterostructure with an embedded layer of InAs self-assembled quantum dots. At high InAs dot densities, pronounced Altshuler-Aronov-Spivak…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 T. Heinzel , R. D. Jaeggi , E. Ribeiro , M. v. Waldkirch , K. Ensslin , S. E. Ulloa , G. Medeiros-Ribeiro , P. M. Petroff

The adiabatic theorem, a corollary of the Schr\"odinger equation, manifests itself in a profoundly different way in non-Hermitian arrangements, resulting in counterintuitive state transfer schemes that have no counterpart in closed quantum…

The existence of exceptional points (EPs) ${-}$ where both eigenvalues and eigenvectors converge ${-}$ is a key characteristic of non-Hermitian physics. A newly-discovered class of magnets ${-}$ termed as altermagnets (AMs) ${-}$ are…

Mesoscale and Nanoscale Physics · Physics 2024-12-04 Md Afsar Reja , Awadhesh Narayan

Systems with bond disorder are defined through lattice Hamiltonians that are of pure nearest neighbour hopping type, i.e. do not contain on-site contributions. Previous analyses based on the Dorokhov-Mello-Pereyra-Kumar (DMPK) transfer…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Alexander Altland , Rainer Merkt

Exceptional points (EPs) are ubiquitous in non-hermitian systems, and represent the complex counterpart of critical points. By driving a system through a critical point at finite rate induces defects, described by the Kibble-Zurek…

Strongly Correlated Electrons · Physics 2019-05-22 Balázs Dóra , Markus Heyl , Roderich Moessner

A continuous deformation of a Hamiltonian possessing at low energy two Dirac points of opposite chiralities can lead to a gap opening by merging of the two Dirac points. In two dimensions, the critical Hamiltonian possesses a semi-Dirac…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 P. Adroguer , D. Carpentier , G. Montambaux , E. Orignac

In two dimensions chaotic level-statistics is expected for massless Dirac fermions in the presence of disorder. For weakly disordered graphene flakes with zigzag edges the obtained level-spacing distribution in the Dirac region is neither…

Disordered Systems and Neural Networks · Physics 2013-02-12 H. Amanatidis , I. Kleftogiannis , D. E. Katsanos , S. N. Evangelou

We study ground state and finite temperature properties of disordered heavy fermion metals by using a generalization of dynamical mean field theory which incorporates Anderson localization effects. The emergence of a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. O. Aguiar , E. Miranda , V. Dobrosavljevic

Exceptional points (EPs) associated with a square-root singularity have been found in many non-Hermitian systems. In most of the studies, the EPs found are isotropic meaning that the same singular behavior is obtained independent of the…

Classical Physics · Physics 2018-08-28 Kun Ding , Guancong Ma , Z. Q. Zhang , C. T. Chan

A transfer matrix approach is used to study the electronic transport in graphene superlattices with long-range correlated barrier spacements. By considering the low-energy electronic excitations as massless Dirac fermions, we compute by…

Mesoscale and Nanoscale Physics · Physics 2020-05-22 Anderson L. R. Barbosa , Jonas R. F. Lima , Ícaro S. F. Bezerra , Marcelo L. Lyra

Understanding the stochastic properties of conductance fluctuations in disordered mesoscopic systems is fundamental to quantum transport. In this work, we investigate the multifractal and ergodic properties of the fictitious time series of…

Non-Hermitian systems can produce branch singularities known as exceptional points (EPs). Different from singularities in Hermitian systems, the topological properties of an EP can involve either the winding of eigenvalues that produces a…

Quantum Physics · Physics 2021-07-21 Weiyuan Tang , Kun Ding , Guancong Ma

In this review we discuss a wide range of topological properties of electron quasiparticles in Dirac and Weyl semimetals. Their nontrivial topology is quantified by a monopole-like Berry curvature in the vicinity of Weyl nodes, as well as…

Mesoscale and Nanoscale Physics · Physics 2018-06-26 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov
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