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We consider the temporal evolution of a zero energy edge Majorana of a spinless $p$-wave superconducting chain following a sudden change of a parameter of the Hamiltonian. Starting from one of the topological phases that has an edge…

介观与纳米尺度物理 · 物理学 2014-04-23 Atanu Rajak , Amit Dutta

We investigate the effect of a time-reversal breaking impurity term on both the equilibrium and non-equilibrium critical properties of entanglement entropy (EE) in a three-spin interacting transverse Ising model which can be mapped to a…

统计力学 · 物理学 2018-04-24 Tanay Nag , Atanu Rajak

We present a comprehensive study of two of the most experimentally relevant extensions of Kitaev's spinless model of a 1D p-wave superconductor: those involving (i) longer range hopping and superconductivity and (ii) inhomogeneous…

超导电性 · 物理学 2013-10-08 Wade DeGottardi , Manisha Thakurathi , Smitha Vishveshwara , Diptiman Sen

We study Majorana bound states in a disordered chain of semiconductor quantum dots proximity-coupled to an s-wave superconductor. By calculating its topological quantum number, based on the scattering-matrix method and a tight-binding…

介观与纳米尺度物理 · 物理学 2016-04-22 P. Zhang , Franco Nori

A one-dimensional Ising model in a transverse field can be mapped onto a system of spinless fermions with p-wave superconductivity. In the weak-coupling BCS regime, it exhibits a zero energy Majorana mode at each end of the chain. Here, we…

强关联电子 · 物理学 2012-01-17 Yuezhen Niu , Suk Bum Chung , Chen-Hsuan Hsu , Ipsita Mandal , S. Raghu , Sudip Chakravarty

The oscillation of Majorana modes with near zero energy plays a very important role for ascertaining Majorana fermions. The edge states, which also have almost-zero-energy in one-dimensional Su-Schrieffer-Heeger chain (SSHc), have been…

量子物理 · 物理学 2021-09-13 Yang Zhang , Wei Nie , Yu-xi Liu

We aim to study a one-dimensional $p$-wave superconductor with quasiperiodic on-site potentials. A modified real-space-Pfaffian method is applied to calculate the topological invariants. We confirm that the Majorana zero mode is protected…

无序系统与神经网络 · 物理学 2021-07-20 Shujie Cheng , Yufei Zhu , Gao Xianlong , Tong Liu

In the context of slow quenching dynamics of a $p$-wave superconducting chain, it has been shown that a Majorana edge state can not be adiabatically transported from one topological phase to the other separated by a quantum critical line.…

介观与纳米尺度物理 · 物理学 2015-03-24 Atanu Rajak , Tanay Nag , Amit Dutta

We study the p-wave superconducting wire with a periodically modulated chemical potential and show that the Majorana edge states are robust against the periodic modulation. We find that the critical amplitude of modulated potential, at…

强关联电子 · 物理学 2012-12-04 Li-Jun Lang , Shu Chen

We map an interacting helical liquid system, coupled to an external magnetic field and s-wave superconductor, to an XYZ spin system, and it undergoes Majorana-Ising transition by tuning of parameters. In the Majorana state, lowest…

强关联电子 · 物理学 2017-11-07 Sudip Kumar Saha , Dayasindhu Dey , Monalisa Singh Roy , Sujit Sarkar , Manoranjan Kumar

We show the presence of Majorana edge modes in an interacting fermionic ladder with spin in a number conserved setting. The interchain single particle hopping is suppressed and only a pair hopping is present between the different chains of…

量子气体 · 物理学 2022-12-23 Franco T. Lisandrini , Corinna Kollath

We study a one-dimensional $p$-wave superconductor subject to non-Hermitian quasiperiodic potentials. Although the existence of the non-Hermiticity, the Majorana zero mode is still robust against the disorder perturbation. The analytic…

无序系统与神经网络 · 物理学 2021-03-24 Tong Liu , Shujie Cheng , Hao Guo , Gao Xianlong

Spatial profile of the Majorana fermion wave function in a one-dimensional $p$-wave superconductors ($\cal{PWS}$) with quasi periodic disorder is shown to exhibit spatial oscillations. These oscillations damp out in the interior of the…

无序系统与神经网络 · 物理学 2017-05-26 Indubala I Satija

We study a two-band model of fermions in a 1d chain with an antisymmetric hybridization that breaks inversion symmetry. We find that for certain values of its parameters, the $sp$-chain maps formally into a $p$-wave superconducting chain,…

超导电性 · 物理学 2015-06-19 Mucio A. Continentino , Heron Caldas , David Nozadze , Nandini Trivedi

We investigate Majorana modes in a quantum spin chain with bond-dependent exchange interactions by studying its dynamics. Specifically, we consider two-time correlations for the Kitaev-Heisenberg (KH) Hamiltonian close to the so-called…

量子物理 · 物理学 2022-07-27 Johannes Bjerlin , Anders S. Sørensen , Stephan Haas

We study Majorana chain with the shortest possible interaction term and in the presence of hoping alternation. When formulated in terms of spins the model corresponds to the transverse field Ising model with nearest-neighbor transverse and…

强关联电子 · 物理学 2023-08-14 Natalia Chepiga , Nicolas Laflorencie

Noncentrosymmetric superconductors with strong spin-orbit coupling and the B phase of ${}^3$He are possible realizations of topological superconductors with time-reversal symmetry. The nontrivial topology of these time- reversal invariant…

超导电性 · 物理学 2015-01-27 Raquel Queiroz , Andreas P. Schnyder

We explore possible signatures for observing Majorana Fermions in the tunneling spectroscopy of high-Tc cuprate superconductors. We find that as long as the Rashba spin orbit interaction is in presence either through proximity effect due to…

超导电性 · 物理学 2015-06-24 Jun-Ting Kao , Shin-Ming Huang , Chung-Yu Mou , C. C. Tsuei

We investigate the one-dimensional $p$-wave superconducting model with periodically modulated hopping and show that under time-reversal symmetry, the number of the Majorana zero modes (MZMs) strongly depends on the modulation period. If the…

超导电性 · 物理学 2016-10-25 Yi Gao , Tao Zhou , Huaixiang Huang , Ran Huang

The non-Abelian statistics of Majorana fermions, their role in topological quantum computation, and the possibility of realizing them in condensed matter systems, has attracted considerable attention. While there have been recent reports of…

强关联电子 · 物理学 2016-02-24 David Nozadze , Nandini Trivedi
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