Topological solitons in a Su-Schrieffer-Heeger chain with periodic hopping modulation, domain wall, and disorder

Mandal, Surajit; Kar, Satyaki

doi:10.1103/physrevb.109.195124

Phys. Rev. B

2024

DOI: 10.1103/physrevb.109.195124

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Topological solitons in a Su-Schrieffer-Heeger chain with periodic hopping modulation, domain wall, and disorder

Surajit Mandal,

Satyaki Kar

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2024

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Cited by 6 publications

References 81 publications

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Linear response theory for transport in non-Hermitian PT-symmetric models

Lima

2024

Physics Letters A

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Linear response theory for transport in non-Hermitian PT-symmetric models

Lima

2024

Physics Letters A

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Hermite–Gaussian solitons in 1+2 dimensional nonlocal nonlinear systems with Y0-oscillatory response

Wang,

Li,

Zhang

et al. 2024

AIP Advances

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We investigate the Hermite–Gaussian solitons in 1+2 dimensional nonlocal nonlinear systems with Y0-oscillatory response. The iterative solution of the solitons is numerically found using the accelerated imaginary-time evolution method with amplitude normalization. The existence interval of the solitons is determined based on the boundary conditions, the degree of nonlocality, and the normalized amplitude. The stability of the solitons is demonstrated through a series of numerical simulations. The soliton exhibits breathing behavior during propagation when the incident intensity is increased. The propagation characteristics of higher order Hermite–Gaussian solitons are also investigated.

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Topology and PT symmetry in a non-Hermitian Su–Schrieffer–Heeger chain with periodic hopping modulation

Mandal,

Kar

2024

J. Phys.: Condens. Matter

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We study the effect of periodic hopping modulation in a Su-Schrieffer-Heeger (SSH) chain withan additional onsite staggered imaginary potential (of strength γ). Such dissipative, non-Hermitian(NH) extension amply modifies the features of the topological trivial phase (TTP) and the topo-logical nontrivial phase (TNP) of the SSH chain, more so with the periodic hopping distribution.Generally a weak NH potential can respect the parity-time (PT ) symmetry keeping the energyeigenvalues real, while a strong potential breaks PT conservation leading to imaginary edge stateand complex bulk state energies in the system. We find that the non-zero energy in-gap states,that appear due to periodic hopping modulations even in the γ = 0 limit, take purely real or purelyimaginary eigenvalues depending on the strength of both γ and ∆ (dimerization parameter). Thelocalization of topological edge states (in-gap states) at the boundaries are investigated that revealsextended nature not only near topological transitions (further away from |∆/t| = 1) but also nearthe unmodulated limit of ∆ = 0. Moreover, localization of the bulk states is observed at the max-imally dimerized limit of |∆/t| = 1, which increases further with γ. These dissipative features canoffer additional tunability in modulating the gain-loss contrast in optical systems or in designingvarious quantum information processing and storage devices.

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Topological solitons in a Su-Schrieffer-Heeger chain with periodic hopping modulation, domain wall, and disorder

Cited by 6 publications

References 81 publications

Linear response theory for transport in non-Hermitian PT-symmetric models

Linear response theory for transport in non-Hermitian PT-symmetric models

Hermite–Gaussian solitons in 1+2 dimensional nonlocal nonlinear systems with Y0-oscillatory response

Topology and PT symmetry in a non-Hermitian Su–Schrieffer–Heeger chain with periodic hopping modulation

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