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The zero-mode corner states in the gap of two-dimensional non-Hermitian Su-Schrieffer-Heeger model are robust to infinitesimal perturbations that preserve chiral symmetry. However, we demonstrate that this general belief is no longer valid…

量子物理 · 物理学 2026-01-06 Xue-Min Yang , Hao Lin , Jian Li , Jia-Ji Zhu , Jun-Li Zhu , Hong Wu

Parity-time ($\mathcal{PT}$) symmetry plays an important role both in non-Hermitian and topological systems. In non-Hermitian systems $\mathcal{PT}$ symmetry can lead to an entirely real energy spectrum, while in topological systems…

介观与纳米尺度物理 · 物理学 2019-12-18 W. B. Rui , Moritz M. Hirschmann , Andreas P. Schnyder

We propose a realizable experiment scheme to construct a one-dimensional synthetic magnetic flux lattice with spin-tensor-momentum coupled spin-1 atoms and explore its exotic topological states. Different from the Altland-Zirnbauer…

量子气体 · 物理学 2020-07-14 Zhoutao Lei , Yuangang Deng , Chaohong Lee

We theoretically discuss the non-Hermitian superfluid phase transition in one-dimensional two-component Fermi gases near the $p$-wave Feshbach resonance accompanied by the two-body loss associated with the dipolar relaxation. For the first…

We prove that the boundaries of all non-trivial 1+1 dimensional intrinsically fermionic symmetry-protected-topological phases, protected by finite on-site symmetries (unitary or anti-unitary), are supersymmetric quantum mechanical systems.…

强关联电子 · 物理学 2021-06-16 Abhishodh Prakash , Juven Wang

We examine different topological phases in three-dimensional non-centrosymmetric superconductors with time-reversal symmetry by using three different types of topological invariants. Due to the bulk boundary correspondence, a non-zero value…

介观与纳米尺度物理 · 物理学 2011-09-16 Andreas P. Schnyder , Shinsei Ryu

Non-Hermitian topological phases exhibit a number of exotic features that have no Hermitian counterparts, including the skin effect and breakdown of the conventional bulk-boundary correspondence. Here, we implement the non-Hermitian…

We consider a non-Hermitian superconducting system by coupling a conventional superconductor to a ferromagnet lead and demonstrate the emergence of exceptional points when an external Zeeman field is applied. We discover that, depending on…

超导电性 · 物理学 2023-03-28 Jorge Cayao , Annica M. Black-Schaffer

The current understanding of the role of topology in non-Hermitian (NH) systems and its far-reaching physical consequences observable in a range of dissipative settings are reviewed. In particular, how the paramount and genuinely NH concept…

介观与纳米尺度物理 · 物理学 2021-03-03 Emil J. Bergholtz , Jan Carl Budich , Flore K. Kunst

Recent experimental advances in controlling dissipation have brought about unprecedented flexibility in engineering non-Hermitian Hamiltonians in open classical and quantum systems. A particular interest centers on the topological…

介观与纳米尺度物理 · 物理学 2018-09-25 Zongping Gong , Yuto Ashida , Kohei Kawabata , Kazuaki Takasan , Sho Higashikawa , Masahito Ueda

Exceptional points in non-Hermitian systems have recently been shown to possess nontrivial topological properties, and to give rise to many exotic physical phenomena. However, most studies thus far have focused on isolated exceptional…

光学 · 物理学 2019-02-21 Hengyun Zhou , Jong Yeon Lee , Shang Liu , Bo Zhen

The exceptional point, known as the non-Hermitian degeneracy, has special topological structure, leading to various counterintuitive phenomena and novel applications, which are refreshing our cognition of quantum physics. One particularly…

量子物理 · 物理学 2021-05-05 Wenquan Liu , Yang Wu , Chang-Kui Duan , Xing Rong , Jiangfeng Du

We classify gapped phases and characteristic nodal points of non-Hermitian band structures on two-dimensional nonorientable parameter spaces. Such spaces arise in a wide range of physical systems in the presence of nonsymmorphic parameter…

介观与纳米尺度物理 · 物理学 2026-03-30 J. Lukas K. König , Kang Yang , André Grossi Fonseca , Sachin Vaidya , Marin Soljačić , Emil J. Bergholtz

The non-Hermiticity of the system gives rise to distinct knot topology that has no Hermitian counterpart. Here, we report a comprehensive study of the knot topology in gapped non-Hermitian systems based on the universal dilation method with…

量子物理 · 物理学 2023-11-14 Yang Wu , Yunhan Wang , Xiangyu Ye , Wenquan Liu , Chang-Kui Duan , Ya Wang , Xing Rong , Jiangfeng Du

Non-Hermiticity alters topology with the presence of non-Hermitian factors in topological systems. Most existing non-Hermitian topological systems derive their topological phases from Hermitian components, that is, the gain and loss of the…

Exceptional points (EPs) in non-Hermitian systems are branch singularities where eigenvalues and eigenvectors simultaneously coalesce, leading to rich topological phenomena beyond those in Hermitian systems. In this work, we systematically…

光学 · 物理学 2025-09-12 Jung-Wan Ryu , Jae-Ho Han , Chang-Hwan Yi

In this work we investigate non-Hermitian topological phase transitions using real-space edge states as a paradigmatic tool. We focus on the simplest non-Hermitian variant of the Su-Schrieffer-Hegger model, including a parameter that…

强关联电子 · 物理学 2024-03-15 Rui Aquino , Nei Lopes , Daniel G. Barci

We classify Hermitian tight-binding models describing noninteracting electrons on a one-dimensional periodic lattice with two energy bands. To do this, we write a generalized Rice-Mele model with two orbitals per unit cell, including all…

介观与纳米尺度物理 · 物理学 2023-06-02 Edward McCann

In an ordinary three-dimensional metal the Fermi surface forms a two-dimensional closed sheet separating the filled from the empty states. Topological semimetals, on the other hand, can exhibit protected one-dimensional Fermi lines or…

介观与纳米尺度物理 · 物理学 2016-05-24 Y. -H. Chan , Ching-Kai Chiu , M. Y. Chou , Andreas P. Schnyder

We introduce a one dimensional non-Hermitian four band tight binding lattice system. We find stable topological edge states protected by particle-hole and parity-time symmetries. We show that topological phase appears in the system. We…

介观与纳米尺度物理 · 物理学 2019-05-21 C. Yuce