Topological Order and Non-Hermitian Skin Effect in Generalized Ideal Chern Bands

• URL: http://arxiv.org/abs/2512.11084v1
• Date: Thu, 11 Dec 2025 19:55:06 GMT
• Title: Topological Order and Non-Hermitian Skin Effect in Generalized Ideal Chern Bands
• Authors: Jiong-Hao Wang, Christopher Ekman, Raul Perea-Causin, Hui Liu, Emil J. Bergholtz,
• Abstract summary: We show that the lowest band of a Kapit--Mueller lattice model satisfies a generalized ideal condition with complex Berry curvature in sync with a complex quantum metric.<n>The skin effect is inherited by the many-body zero modes, yielding skin-Laughlin states with an exponential profile on the lattice.<n>Our findings lead to an extension of topological order in non-Hermitian systems.
• Score: 4.077229061535404
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Fractionalization in ideal Chern bands and non-Hermitian topological physics are two active but so far separate research directions. Merging these, we generalize the notion of ideal Chern bands to the non-Hermitian realm and uncover several striking consequences both on the level of band theory and in the strongly interacting regime. Specifically, we show that the lowest band of a Kapit--Mueller lattice model with an imaginary gauge potential satisfies a generalized ideal condition with complex Berry curvature in sync with a complex quantum metric. The ideal band remains purely real and exactly flat yet all right and left eigenstates accumulate at the boundaries on a cylinder, implying a non-Hermitian skin effect without an accompanying spectral winding. The skin effect is inherited by the many-body zero modes, yielding skin-Laughlin states with an exponential profile on the lattice. Moreover, at a critical strength of non-Hermiticity there is an unconventional phase transition on the torus, which is absent on the cylinder. Our findings lead to an extension of topological order in non-Hermitian systems.

Related papers

• Lindbladian versus Postselected Non-Hermitian Topology [44.99833362998488]
  Many-body systems with loss and gain are typically better described by mixed-state open quantum dynamics upon a postselection of measurement outcomes.<n>We show that the non-Hermitian skin effect and its relationship to a bulk winding number in one spatial dimension can survive without postselection.<n>We also identify a case where removing postselection induces a skin effect from otherwise topologically trivial non-Hermitian dynamics.
  arXiv  Detail & Related papers  (2025-07-09T18:01:22Z)
• NonHermitian Topological Phases in a Hermitian Modified Bosonic Kitaev Chain [0.0]
  modification to bosonic Kitaev chain supports nonHermitian skin effect and nontrivial topological edge modes.<n>We establish an exact mapping between the excitation Hamiltonian of our system and a nonHermitian Su-Schrieffer-Heeger model.
  arXiv  Detail & Related papers  (2025-05-21T18:01:08Z)
• Non-Hermitian topology and skin modes in the continuum via parametric processes [44.99833362998488]
  We show that Hermitian, nonlocal parametric pairing processes can induce non-Hermitian topology and skin modes.<n>Our model, stabilized by local dissipation, reveals exceptional points that spawn a tilted diabolical line in the dispersion.
  arXiv  Detail & Related papers  (2025-05-05T16:38:20Z)
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices [37.69303106863453]
  Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by unitary dynamics and dissipation.<n>We show that the steady state is obtained by filling single-particle right eigenstates with the largest imaginary part of the eigenvalue.<n>We illustrate these principles in the Hatano-Nelson model with periodic boundary conditions and the non-Hermitian Su-Schrieffer-Heeger model.
  arXiv  Detail & Related papers  (2025-04-11T14:06:05Z)
• Gapless Floquet topology [40.2428948628001]
  We study the existence of topological edge zero- and pi-modes despite the lack of bulk gaps in the quasienergy spectrum. We numerically study the effect of interactions, which give a finite lifetime to the edge modes in the thermodynamic limit with the decay rate consistent with Fermi's Golden Rule.
  arXiv  Detail & Related papers  (2024-11-04T19:05:28Z)
• Topological Order in the Spectral Riemann Surfaces of Non-Hermitian Systems [44.99833362998488]
  We show topologically ordered states in the complex-valued spectra of non-Hermitian systems.<n>These arise when the distinctive exceptional points in the energy surfaces of such models are annihilated.<n>We illustrate the characteristics of the topologically protected states in a non-Hermitian two-band model.
  arXiv  Detail & Related papers  (2024-10-24T10:16:47Z)
• Quantized Thouless pumps protected by interactions in dimerized Rydberg tweezer arrays [41.94295877935867]
  In the noninteracting case, quantized Thouless pumps can only occur when a topological singularity is encircled adiabatically. In the presence of interactions, such topological transport can even persist for exotic paths in which the system gets arbitrarily close to the noninteracting singularity.
  arXiv  Detail & Related papers  (2024-02-14T16:58:21Z)
• Non-Hermitian second-order topological superconductors [0.19999259391104385]
  We study the interplay between the non-Hermiticity and the second-order topological superconductors in two spatial dimensions. We show that the non-Hermiticity drives both the bulk states and topological edge modes to accumulate toward opposite corners of the system.
  arXiv  Detail & Related papers  (2023-11-30T07:54:34Z)
• Topological properties of a non-Hermitian quasi-1D chain with a flat band [0.0]
  spectral properties of a non-Hermitian quasi-1D lattice in two of the possible dimerization configurations are investigated. Non-Hermitian diamond chain that presents a zero-energy flat band. Non-Hermitian diamond chains can be mapped into two models of the Su-Schrieffer-Heeger chains, either non-Hermitian, and Hermitian, both in the presence of a flat band.
  arXiv  Detail & Related papers  (2023-07-17T18:00:47Z)
• Kinked linear response from non-Hermitian cold-atom pumping [3.5932002706017556]
  We find that non-Hermiticity gives rise to abrupt and prominent kinks in the semi-classical wave packet trajectories of quantum gases. This physically stems from a hitherto underappreciated intrinsic non-locality from non-Hermitian pumping. Our results showcase unique non-monotonic behavior from non-Hermitian pumping beyond the non-Hermitian skin effect.
  arXiv  Detail & Related papers  (2023-06-22T18:00:13Z)
• Non-Hermiticity induced Exceptional Points and Skin Effect in the Dice-Haldane Model [12.632098351321218]
  We investigate the role of non-Hermiticity in the Chern insulating Haldane model on a dice lattice. We introduce non-Hermiticity into this model in two ways -- through balanced non-Hermitian gain and loss, and by non-reciprocal hopping in one direction. Our results place the dice-Haldane model as an exciting platform to explore non-Hermitian physics.
  arXiv  Detail & Related papers  (2022-07-29T11:13:09Z)
• Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices [0.5249805590164902]
  We investigate the corresponding non-Hermitian tight-binding model and evaluate the gain/loss effects on various properties of the system. We find that the conventional bulk-boundary correspondence does not break down with only on-site gain/loss due to the lack of non-Hermitian skin effect. Given the technical accessibility of state-dependent atom loss, this model could be realized in current cold-atom experiments.
  arXiv  Detail & Related papers  (2022-01-04T16:00:30Z)
• Quantum anomalous Hall phase in synthetic bilayers via twistless twistronics [58.720142291102135]
  We propose quantum simulators of "twistronic-like" physics based on ultracold atoms and syntheticdimensions. We show that our system exhibits topologicalband structures under appropriate conditions.
  arXiv  Detail & Related papers  (2020-08-06T19:58:05Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.