Multiple mobility rings in non-Hermitian Su-Schrieffer-Heeger chain with quasiperiodic potentials
- URL: http://arxiv.org/abs/2601.20479v1
- Date: Wed, 28 Jan 2026 10:49:00 GMT
- Title: Multiple mobility rings in non-Hermitian Su-Schrieffer-Heeger chain with quasiperiodic potentials
- Authors: Guan-Qiang Li, Zhi-Yu Lin, You-Jiao Dong, Ya-Feng Xue, Chun-Yang Ren, Ping Peng,
- Abstract summary: The localization property of a non-Hermitian Su-Schrieffer-Heeger (SSH) chain with quasi-periodic on-site potential is investigated.<n>The energy spectra and eigenstate distributions of the system's Hamiltonian near the boundary of the phase transition exhibit different behaviors.
- Score: 3.2883356348728827
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The localization property of a non-Hermitian Su-Schrieffer-Heeger (SSH) chain with quasi-periodic on-site potential is investigated. In contrast to the preceding investigations, the quantum phase transition between localized state and extended one is achieved by adjusting the strength of intracellular or intercellular hopping. The energy spectra and eigenstate distributions of the system's Hamiltonian near the boundary of the phase transition exhibit different behaviors when the Hermiticity, non-Hermiticity and mosaic modulation of the quasi-periodic potential are considered, respectively. The existence of the mobility ring is revealed in the non-Hermitian SSH chain by studying of the critical behaviors near the boundary. More interestingly, the multiple mobility rings emerge when the period number of the mosaic modulation is increased. The result is helpful for the investigation of the localization-delocalization transition in the SSH-type system under the combined action of the non-Hermiticity and quasi-periodicity.
Related papers
- Phase transitions in a non-Hermitian Su-Schrieffer-Heeger model via Krylov spread complexity [0.6437284704257459]
We investigate phase transitions in a non-Hermitian Su-Schrieffer-Heeger (SSH) model with an imaginary chemical potential via Krylov spread complexity and Krylov fidelity.
arXiv Detail & Related papers (2025-03-24T17:56:56Z) - Measurement-induced transitions for interacting fermions [43.04146484262759]
We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations.<n>Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM)<n>By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
arXiv Detail & Related papers (2024-10-09T18:00:08Z) - State Dependent Spread Complexity Dynamics in Many-Body Localization Transition [0.0]
We characterize the Many-Body Localization (MBL) phase transition using the dynamics of spread complexity and inverse participation ratio in the Krylov space.
Our work sheds light on the efficacy of Krylov space dynamics in understanding phase transitions in quantum many-body systems.
arXiv Detail & Related papers (2024-09-03T18:00:11Z) - Topology and $\mathcal{PT}$ Symmetry in a Non-Hermitian Su-Schrieffer-Heeger Chain with Periodic Hopping Modulation [0.0]
We study the effect of periodic but commensurate hopping modulation on a Su-Schrieffer-Heeger chain with an additional onsite staggered imaginary potential.
We find that this PT breaking with imaginary potential strength gamma show interesting dependence on the hopping modulation Delta.
In-gap states, that appear also in the gamma = 0 limit, take either purely real or purely imaginary eigenvalues depending on the strength of both gamma and Delta.
arXiv Detail & Related papers (2024-05-07T15:07:47Z) - Topological Solitons in Su-Schrieffer-Heeger Chain with periodic hopping modulation, domain walls and disorder [0.0]
A chiral symmetric Su-Schrieffer-Heeger chain features topological end states in one of its dimerized configurations.
More and more in-gap end modes appear at nonzero energies for further partitioning of the Brillouin zone.
The new topological phases are identified with a detailed analysis of the topological invariants namely, winding number and Zak phases.
arXiv Detail & Related papers (2024-02-02T09:03:17Z) - Multipartite Entanglement in the Measurement-Induced Phase Transition of
the Quantum Ising Chain [77.34726150561087]
External monitoring of quantum many-body systems can give rise to a measurement-induced phase transition.
We show that this transition extends beyond bipartite correlations to multipartite entanglement.
arXiv Detail & Related papers (2023-02-13T15:54:11Z) - Measurement phase transitions in the no-click limit as quantum phase
transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians.
We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z) - Continuous phase transition induced by non-Hermiticity in the quantum
contact process model [44.58985907089892]
How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear.
We show that there is a continuous phase transition induced by the non-hermiticity in QCP.
We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
arXiv Detail & Related papers (2022-09-22T01:11:28Z) - Indication of critical scaling in time during the relaxation of an open
quantum system [34.82692226532414]
Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields.
Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
arXiv Detail & Related papers (2022-08-10T05:59:14Z) - Topological transitions with continuously monitored free fermions [68.8204255655161]
We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits.
We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
arXiv Detail & Related papers (2021-12-17T22:01:54Z) - Non-Hermitian pseudo mobility edge in a coupled chain system [0.0]
We show that in the ladder with weak rung coupling, the nonHermitian skin localization could induce a pseudo mobility edge.
We also demonstrate the gradual takeover of the non-Hermitian skin effect in the entire system.
arXiv Detail & Related papers (2021-11-23T14:55:37Z) - Long-lived period-doubled edge modes of interacting and disorder-free
Floquet spin chains [68.8204255655161]
We show that even in the absence of disorder, and in the presence of bulk heating, $pi$ edge modes are long lived.
A tunneling estimate for the lifetime is obtained by mapping the stroboscopic time-evolution to dynamics of a single particle in Krylov subspace.
arXiv Detail & Related papers (2021-05-28T12:13:14Z) - Many-body dynamical phase transition in quasi-periodic potential [0.0]
We show signatures of DQPT in the many-body dynamics, when quenching is performed between phases belonging to different universality classes.
Strikingly, whenever quenching is performed from the low-entangled localized phase to the high-entangled delocalized phase, our studies suggest an intimate relationship between DQPT and the rate of the entanglement growth.
arXiv Detail & Related papers (2021-03-16T13:38:02Z)
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.