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Topological semimetals exhibit protected band crossings in momentum space, accompanied by corresponding surface states. Non-Hermitian Hamiltonians introduce geometry-sensitive features that dissolve this bulk-boundary correspondence…

介观与纳米尺度物理 · 物理学 2025-06-18 Megan Schoenzeit , Chang Shu , Kai Zhang , Kai Sun

We introduce a dissipative lattice gauge model that exhibits the many-body version of the non-Hermitian skin effect. The dissipative couplings between dynamical gauge fields on the lattice links and the surrounding environment generate…

量子物理 · 物理学 2025-12-29 Yu-Min Hu , Zijian Wang , Biao Lian , Zhong Wang

Non-Hermitian skin effect, which refers to the phenomenon that an extensive number of eigenstates are localized at the boundary, has been widely studied in lattice models and experimentally observed in several classical systems. In this…

量子气体 · 物理学 2023-01-02 Sibo Guo , Chenxiao Dong , Fuchun Zhang , Jiangping Hu , Zhesen Yang

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 non-Hermitian skin effect, i.e. eigenstate condensation at the edges in lattices with open boundaries, is an exotic manifestation of non-Hermitian systems. In Bloch theory, an effective non-Hermitian Hamiltonian is generally used to…

量子物理 · 物理学 2020-12-15 Stefano Longhi

We study the localization and topological transitions of the generalized non-Hermitian SSH models, where the non-Hermiticities are introduced by the complex quasiperiodic hopping and the nonreciprocal hopping. We elucidate the universality…

量子气体 · 物理学 2023-08-16 X. Q. Sun , C. S. Liu

Non-Hermitian topological systems exhibit a plethora of unusual topological phenomena that are absent in the Hermitian systems. One of these key features is the extreme eigenstate localization of eigenstates, also known as non-Hermitian…

介观与纳米尺度物理 · 物理学 2021-08-06 S M Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Ching Hua Lee , Mansoor B. A. Jalil

We propose an application of a parity-time symmetric non-Hermitian Su-Schrieffer-Heeger (SSH) model by embedded it in a two-dimensional square lattice tube. The coalescence state at the exceptional point of non-Hermitian SSH model is chiral…

介观与纳米尺度物理 · 物理学 2019-10-04 K. L. Zhang , L. Jin , Z. Song

Non-Hermitian extensions of the Anderson and Aubry-Andr\'e-Harper models are attracting a considerable interest as platforms to study localization phenomena, metal-insulator and topological phase transitions in disordered non-Hermitian…

量子物理 · 物理学 2019-10-02 Stefano Longhi

The fermion doubling theorem plays a pivotal role in Hermitian topological materials. It states, for example, that Weyl points must come in pairs in three-dimensional semimetals. Here, we present an extension of the doubling theorem to…

介观与纳米尺度物理 · 物理学 2021-03-03 Zhesen Yang , A. P. Schnyder , Jiangping Hu , Ching-Kai Chiu

While chirality imbalances are forbidden in conventional lattice systems, non-Hermiticity can effectively avoid the chiral-doubling theorem to facilitate 1D chiral dynamics. Indeed, such systems support unbalanced unidirectional flows that…

介观与纳米尺度物理 · 物理学 2023-03-01 Penghao Zhu , Xiao-Qi Sun , Taylor L. Hughes , Gaurav Bahl

This communication presents an examination of a two-dimensional, non-Hermitian Su -Schrieffer-Heeger (SSH) model, which is differentiated from its conventional Hermitian counterpart by incorporating gain and/or loss terms, mathematically…

介观与纳米尺度物理 · 物理学 2025-06-23 Udai Prakash Tyagi , Partha Goswami

The metal-insulator transition has been a subject of intense research since Nevil Mott has first proposed that the metallic behavior of interacting electrons could turn to the insulating one as electron correlations increase. Here, we…

强关联电子 · 物理学 2016-03-23 Yuichi Otsuka , Seiji Yunoki , Sandro Sorella

The non-Hermitian skin effect, characterized by a proliferation of exponentially localized edge modes in open-boundary systems, has led to the discovery of numerous novel physical phenomena that challenge the limits of conventional band…

介观与纳米尺度物理 · 物理学 2025-08-13 Kai Zhang , Chang Shu , Kai Sun

A systematic study has been made on the metal-insulator (MI) transition of the doubly degenerate Hubbard model (DHM) in the paramagnetic ground state, by using the slave-boson mean-field theory which is equivalent to the Gutzwiller…

强关联电子 · 物理学 2009-10-30 Hideo Hasegawa

The non-Hermitian skin effect can arise in materials that have asymmetric hoppings between atoms or resonating units, which makes the bulk eigenspectrum sensitive to boundary conditions. When skin effect emerges, eigenstates in the bulk…

介观与纳米尺度物理 · 物理学 2022-02-21 Yi-Xin Xiao , C. T. Chan

Non-Hermitian effects could create rich dynamical and topological phase structures. In this work, we show that the collaboration between lattice dimerization and non-Hermiticity could generally bring about mobility edges and multiple…

无序系统与神经网络 · 物理学 2022-02-18 Wenqian Han , Longwen Zhou

Topological phases and transitions are of fundamental importance in physics, which provide a deep insight into the understanding of materials. Recently, non-Abelian topological transitions have been investigated in Hermitian systems,…

量子物理 · 物理学 2025-03-25 Yunhan Wang , Yang Wu , Xiangyu Ye , Chang-Kui Duan , Ya Wang , Haiping Hu , Xing Rong , Jiangfeng Du

In this work we first show a simple approach to constructing non-Hermitian Hamiltonians with a real spectrum, which are \textit{not} obtained by a non-unitary transformation such as the imaginary gauge transformation. They are given,…

量子物理 · 物理学 2024-03-18 Li Ge

We revisit the fate of the skin modes in many-body non-Hermitian fermionic systems. Contrary to the single-particle case, the many-body ground state cannot exhibit an exponential localization of all eigenstates due to the Pauli exclusion…

介观与纳米尺度物理 · 物理学 2023-05-05 Faisal Alsallom , Loïc Herviou , Oleg V. Yazyev , Marta Brzezińska