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Related papers: Symmetry and Topology in a Non-Hermitian Kitaev ch…

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We introduce a one-dimensional non-Hermitian Kitaev chain with staggered imbalance in the $p$-wave superconducting pairing. By tuning the chemical potential and the pairing imbalance, we find that the eigenenergy spectrum undergoes…

Mesoscale and Nanoscale Physics · Physics 2026-05-19 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

We present a modification to the bosonic Kitaev chain that, despite being Hermitian, supports both nonHermitian skin effect and nontrivial topological edge modes in its excitation Hamiltonian. We establish an exact mapping between the…

Quantum Physics · Physics 2026-01-08 Raditya Weda Bomantara , Ibsal Assi , J. P. F. LeBlanc , Michael Vogl

Topological phonon polaritons (TPhPs) are highly protected and localized edge modes that are capable of achieving a strong confinement of electromagnetic waves and immune to impurities and disorder. Here we realize TPhPs by constructing…

Mesoscale and Nanoscale Physics · Physics 2018-10-31 B. X. Wang , C. Y. Zhao

Topological stability is an important property for topological materials. However, the non-Hermitian effects may change this situation. Here, we investigate the robustness of edge states in the non-Hermitian Kitaev chain with imbalanced…

Superconductivity · Physics 2021-12-08 Xiao-Ming Zhao , Cui-Xian Guo , Su-Peng Kou , Lin-Zhuang , Wu-Ming Liu

We study a non-Hermitian Kitaev chain model that contains three sources of non-Hermiticity: a constant imaginary potential, asymmetry between hopping amplitudes $t_{\rm R}$ and $t_{\rm L}$ in the right and left directions, and imbalance in…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Tetsuro Sakaguchi , Hiroto Nishijima , Yositake Takane

Exact solutions for non-Hermitian quantum many-body systems are rare but may provide valuable insights into the interplay between Hermitian and non-Hermitian components. We report our investigation of a non-Hermitian variant of a p-wave…

Quantum Physics · Physics 2023-09-26 Y. B. Shi , Z. Song

Topological phases are enriched in non-equilibrium open systems effectively described by non-Hermitian Hamiltonians. While several properties unique to non-Hermitian topological systems were uncovered, the fundamental role of symmetry in…

Quantum Physics · Physics 2019-01-18 Kohei Kawabata , Sho Higashikawa , Zongping Gong , Yuto Ashida , Masahito Ueda

Non-Hermitian systems with $\mathcal{PT}$ symmetry can possess purely real eigenvalue spectra. In this work two one-dimensional systems with two different topological phases, the topological nontrivial Phase (TNP) and the topological…

Quantum Physics · Physics 2017-05-24 Marcel Klett , Holger Cartarius , Dennis Dast , Jörg Main , Günter Wunner

A single unit cell contains all the information about the bulk system, including the topological feature. The topological invariant can be extracted from a finite system, which consists of several unit cells under certain environment, such…

Quantum Physics · Physics 2020-04-23 Ci. Li , Liang. Jin , Zhi. Song

Starting from a double quantum dot realization of a minimal Kitaev chain, we demonstrate that non-Hermicity stabilizes the so-called poor man's Majorana zero modes in a region of parameter space that is much broader than in the Hermitian…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Jorge Cayao , Ramón Aguado

We investigate a topological superconducting wire with balanced gain and loss that is effectively described by the non-Hermitian Kitaev/Majorana chain with parity-time symmetry. This system is shown to possess two distinct types of…

Mesoscale and Nanoscale Physics · Physics 2018-08-10 Kohei Kawabata , Yuto Ashida , Hosho Katsura , Masahito Ueda

We establish a non-Bloch band theory for one-dimensional(1D) non-Hermitian topological superconductors. The universal physical properties of non-Hermitian topological superconductors are revealed based on the theory. According to the…

Superconductivity · Physics 2023-10-20 Yang Cao , Yang Li , Yuanping Chen , Xiaosen Yang

The fermionic Kitaev chain is a canonical model featuring topological Majorana zero modes. We report the experimental realization of its bosonic analogue in a nano-optomechanical network where parametric interactions induce two-mode…

We systematically study a Kitaev chain with imbalanced pair creation and annihilation, which is introduced by non-Hermitian pairing terms. Exact phase diagram shows that the topological phase is still robust under the influence of the…

Quantum Physics · Physics 2018-03-28 C. Li , X. Z. Zhang , G. Zhang , Z. Song

A prominent feature of some one-dimensional non-Hermitian systems is that all right-eigenstates of the non-Hermitian Hamiltonian are localized in one end of the chain. The topological and trivial phases are distinguished by the emergence of…

Mesoscale and Nanoscale Physics · Physics 2019-07-17 Motohiko Ezawa

We gauge the fermion parity symmetry of the Kitaev chain. While the bulk of the model becomes an Ising chain of gauge-invariant spins in a tilted field, near the boundaries the global fermion parity symmetry survives gauging, leading to…

Strongly Correlated Electrons · Physics 2021-06-23 Umberto Borla , Ruben Verresen , Jeet Shah , Sergej Moroz

We theoretically investigate and experimentally demonstrate the existence of topological edge states in a mechanical analog of the Kitaev chain with a non-zero chemical potential. Our system is a one-dimensional monomer system involving two…

The dynamic balance between pair creation and annihilation processes takes a crucial role to the topological superconductivity in Kitaev model. Here we study the effect of spatial separation of creation and annihilation terms, i.e., sources…

Superconductivity · Physics 2023-03-06 Y. B. Shi , Z. Song

The topology of non-Hermitian systems is fundamentally changed by the non-Hermitian skin effect, which leads to the generalized bulk-boundary correspondence. Based on the non-Bloch band theory, we get insight into the interplay between the…

Superconductivity · Physics 2024-03-28 Xaing Ji , Wenchen Ding , Yuanping Chen , Xiaosen Yang

The bosonic Kitaev chain is known to have extraordinary properties distinct from its fermionic counterpart. For example, it exhibits the non-Hermitian skin effect -- its eigenmodes are exponentially localized to the edges of the chain --…

Mesoscale and Nanoscale Physics · Physics 2025-09-03 Clément Fortin , Kai Wang , T. Pereg-Barnea
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