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Related papers: Non-Hermitian topological Mott insulators in one-d…

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Non-Hermitian skin effect (NHSE) is a unique feature studied extensively in non-interacting non-Hermitian systems. In this work, we extend the NHSE originally discovered in non-interacting systems to interacting many-body systems by…

Quantum Gases · Physics 2023-05-03 Liang Mao , Yajiang Hao , Lei Pan

We show that proximity to an altermagnet provides an efficient route to engineering non-Hermitian higher-order topological phases. The proximity-induced altermagnetic order gaps the edge states of a topological insulator, thereby driving a…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Xiang Ji , Dengfeng Wang , Tong Zhou , Xiaosen Yang

Topological states in non-Hermitian systems are known to exhibit some anomalous features. Here, we find two new anomalous features of non-Hermitian topological states. We consider a one dimensional nonreciprocal Hamiltonian and show that…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 C. Yuce

Light can mediate effective dipole-dipole interactions between atoms or quantum emitters coupled to a common environment. Exploiting them to tailor a desired effective Hamiltonian can have major applications and advance the search for…

As a distinctive feature unique to non-Hermitian systems, non-Hermitian skin effect displays fruitful exotic phenomena in one or higher dimensions, especially when conventional topological phases are involved. Among them, hybrid…

Mesoscale and Nanoscale Physics · Physics 2023-12-20 Junpeng Wu , Riyi Zheng , Jialuo Liang , Manzhu Ke , Jiuyang Lu , Weiyin Deng , Xueqin Huang , Zhengyou Liu

The fermionic Hubbard model plays a fundamental role in the description of strongly correlated materials. Here we report on the realization of this Hamiltonian using a repulsively interacting spin mixture of ultracold $^{40}$K atoms in a 3D…

Strongly Correlated Electrons · Physics 2010-04-06 U. Schneider , L. Hackermuller , S. Will , Th. Best , I. Bloch , T. A. Costi , R. W. Helmes , D. Rasch , A. Rosch

The non-Hermitian skin effect, by which the eigenstates of Hamiltonian are predominantly localized at the boundary, has revealed a strong sensitivity of non-Hermitian systems to the boundary condition. Here we experimentally observe a…

Mesoscale and Nanoscale Physics · Physics 2024-08-20 Lei Xiao , Wen-Tan Xue , Fei Song , Yu-Min Hu , Wei Yi , Zhong Wang , Peng Xue

Non-Hermitian lattices with non-reciprocal couplings under open boundary conditions are known to possess linear modes exponentially localized on one edge of the chain. This phenomenon, dubbed non-Hermitian skin effect, induces all input…

Pattern Formation and Solitons · Physics 2026-05-25 Bertin Many Manda , Ricardo Carretero-González , Panayotis G. Kevrekidis , Vassos Achilleos

We study the effects of electron-electron interactions on the charge excitation spectrum of the spinful Su-Schrieffer-Heeger (SSH) model, a prototype of a 1D bulk obstructed topological insulator. In view of recent progress in the…

Mesoscale and Nanoscale Physics · Physics 2022-11-10 David Mikhail , Benoit Voisin , Dominique Didier St Medar , Gilles Buchs , Sven Rogge , Stephan Rachel

Heavy fermion materials naturally combine strong spin-orbit interactions and electronic correlations. When there is precisely one conduction electron per impurity spin, the coherent heavy fermion state is insulating. This Kondo insulating…

Strongly Correlated Electrons · Physics 2013-07-12 Jan Werner , Fakher F. Assaad

We report the exact closed-form solutions for higher-order topological states as well as explicit energy-spectrum relationships in two-dimensional (2D) non-Hermitian multi-orbital lattices with generalized boundary conditions. These…

We argue that a three dimensional electronic system with the Fermi level at the quadratic band touching point such as HgTe could be unstable with respect to the spontaneous formation of the (topological) Mott insulator at arbitrary weak…

Strongly Correlated Electrons · Physics 2014-09-04 Igor F. Herbut , Lukas Janssen

Spectra of bulk or edges in topological insulators are often made complex by non-Hermiticity. Here, we show that symmetry protection enables entirely real spectra for both bulk and edges even in non-Hermitian topological insulators. In…

Mesoscale and Nanoscale Physics · Physics 2020-09-11 Kohei Kawabata , Masatoshi Sato

A one-dimensional Bose Hubbard model with unidirectional hopping is shown to be exactly solvable. Applying the algebraic Bethe ansatz method, we prove the integrability of the model and derive the Bethe ansatz equations. The exact…

Strongly Correlated Electrons · Physics 2024-02-29 Mingchen Zheng , Yi Qiao , Yupeng Wang , Junpeng Cao , Shu Chen

Mott insulating behavior is induced by strong electron correlation and can lead to exotic states of matter such as unconventional superconductivity and quantum spin liquids. Recent advances in van der Waals material synthesis enable the…

We present an explicit Bethe-ansatz wavefunction to a 1D spin-$\frac{1}{2}$ interacting fermion system, manifesting a many-body resonance resulting from the interplay between interaction and non-Hermitian spin-orbit coupling. In the dilute…

Strongly Correlated Electrons · Physics 2026-01-22 Yue Wang , Xiangyu Zhang , Zhesen Yang , Congjun Wu

Breaking Hermiticity in topological systems gives rise to intriguing phenomena, such as the exceptional topology and the non-Hermitian skin effect. In this work, we study a non-Hermitian topological crystalline insulator sitting on the…

Mesoscale and Nanoscale Physics · Physics 2022-02-11 Qiu-Yue Xu , Feng Liu , Chui-Zhen Chen , Dong-Hui Xu

We study the time-dependent dynamical properties of two-component ultracold fermions in a one-dimensional optical superlattice by applying the adaptive time-dependent density matrix renormalization group to a repulsive Hubbard model with an…

Quantum Gases · Physics 2009-11-30 Atsushi Yamamoto , Makoto Yamashita , Norio Kawakami

Band structures of metamaterials described by a nonlinear eigenvalue problem are beyond the existing topological band theory. In this paper, we analyze non-Hermitian topology under the nonlinearity of eigenvalues. Specifically, we elucidate…

Mesoscale and Nanoscale Physics · Physics 2025-02-19 Tsuneya Yoshida , Takuma Isobe , Yasuhiro Hatsugai

Being motivated by intriguing phenomena such as the breakdown of conventional bulk boundary correspondence and emergence of skin modes in the context of non-Hermitian (NH) topological insulators, we here propose a NH second-order…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Arnob Kumar Ghosh , Tanay Nag
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