Topological transition and Majorana zero modes in 2D non-Hermitian chiral superconductor with anisotropy

Jing, Dong-Yang; Wang, Huan-Yu; Liu, Wu-Ming

doi:10.1088/1361-648x/ac54e2

Cited by 7 publications

(4 citation statements)

References 70 publications

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“…Here, crystal defects in the form of 'dislocations' can act as terminal points within the lattice and cause the localization of eigenstates in their vicinity. This has been termed the dislocation NHSE (DNHSE) [224][225][226]. Bhargava et al [227] recently made an interesting discovery that in a two-dimensional system with two dislocation sites, there not only arises a dislocation-induced skin effect at one site, but there occurs an 'anti-skin effect' at the other site.…”

Section: Internal Symmetries Of the Underlying Non-hermitianmentioning

confidence: 99%

Non-Hermitian topological phases: principles and prospects

Banerjee

Sarkar

Dey

et al. 2023

J. Phys.: Condens. Matter

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The synergy between non-Hermitian concepts and topological ideas have led to very fruitful activity in the recent years. Their interplay has resulted in a wide variety of new non-Hermitian topological phenomena being discovered. In this review, we present the key principles underpinning the topological features of non-Hermitian phases. Using paradigmatic models -- Hatano-Helson, non-Hermitian Su-Schrieffer-Heeger and non-Hermitian Chern insulator -- we illustrate the central features of non-Hermitian topological systems, including exceptional points, complex energy gaps and non-Hermitian symmetry classification. We discuss the non-Hermitian skin effect and the notion of the generalized Brillouin zone, which allows restoring the bulk-boundary correspondence. Using concrete examples, we examine the role of disorder, present the linear response framework, and analyze the Hall transport properties of non-Hermitian topological systems. We also survey the rapidly growing experimental advances in this field. Finally, we end by highlighting possible directions which, in our view, may be promising for explorations in the near future.

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Section: Internal Symmetries Of the Underlying Non-hermitianmentioning

confidence: 99%

Non-Hermitian topological phases: principles and prospects

Banerjee

Sarkar

Dey

et al. 2023

J. Phys.: Condens. Matter

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“…Alternatively, one might realize effective magnetic fluxes in photonic [71], mechanical [72], and ultra-cold atom systems [73,74]. Additionally, one can envision a realization in NH superconductors [75][76][77]. Such systems, for instance in NH class C S + and DIII S +− , can give rise to both higher-order flux skin effect and flux spectral jump upon flux insertion, respectively.…”

Section: Experimental Realization Of Nh Flux Responsementioning

confidence: 99%

Magnetic flux response of non-Hermitian topological phases

Denner

Schindler

2023

SciPost Phys.

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We derive the response of non-Hermitian topological phases with intrinsic point gap topology to localized magnetic flux insertions. In two spatial dimensions, we identify the necessary and sufficient conditions for a flux skin effect that localizes an extensive number of in-gap modes at a flux core. In three dimensions, we furthermore establish the existence of: a flux spectral jump, where flux tube insertion fills up the entire point gap only at a single parallel crystal momentum; a higher-order flux skin effect, which occurs at the ends of flux tubes in presence of pseudo-inversion symmetry; and a flux Majorana mode that represents a spectrally isolated mid-gap state in the complex energy plane. We uniquely associate each non-Hermitian symmetry class with intrinsic point gap topology with one of these cases or a trivial flux response, and discuss possible experimental realizations.

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“…The robust MZMs hold the promising applications in fault-tolerant quantum computing [72][73][74]. A few preliminary researches indicate that the non-Hermitian superconductors indeed have exotic phenomena, such as robust MZMs [75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91][92] and non-Hermitian skin effect [93]. However, the universal physical characteristics of the non-Hermitian superconductor systems have not been uncovered far away, because a proper non-Bloch band theory for the non-Hermitian systems has not been established yet.…”

Section: Introductionmentioning

confidence: 99%

Universal characteristics of one-dimensional non-Hermitian superconductors

Cao¹,

Li²,

Chen³

et al. 2022

J. Phys.: Condens. Matter

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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 particle-hole symmetry, there exist reciprocal particle and hole loops of generalized Brillouin zone (GBZ). The critical point of quantum phase transition, where the energy gap closes, appears when the particle and hole loops intersect at Bloch points.If the non-Hermitian system has non-Hermitian skin effects, the non-Hermitian skin effect should be the Z_{2} skin effect: the corresponding eigenstates of particle and hole localize at opposite ends of an open chain, respectively. The non-Bloch band theory is applied to two examples, non-Hermitian p- and s-wave topological superconductors. In terms of Majorana Pfaffian, a Z_{2} non-Bloch topological invariant is defined to establish the non-Hermitian bulk-boundary correspondence in non-Hermitian superconductors.

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Topological transition and Majorana zero modes in 2D non-Hermitian chiral superconductor with anisotropy

Cited by 7 publications

References 70 publications

Non-Hermitian topological phases: principles and prospects

Non-Hermitian topological phases: principles and prospects

Magnetic flux response of non-Hermitian topological phases

Universal characteristics of one-dimensional non-Hermitian superconductors

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