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We present evidence for the existence of Majorana edge states in a number conserving theory describing a system of spinless fermions on two wires that are coupled by a pair hopping. Our analysis is based on the combination of a qualitative…

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

Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite,…

强关联电子 · 物理学 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

One promising avenue to study one-dimensional ($1$D) topological phases is to realize them in synthetic materials such as cold atomic gases. Intriguingly, it is possible to realize Majorana boundary modes in a $1$D number-conserving system…

强关联电子 · 物理学 2018-10-17 Chun Chen , Wei Yan , C. S. Ting , Yan Chen , F. J. Burnell

We demonstrate that Majorana fermions exist in edges of systems and in a vortex core even for superconductors with nodal excitations such as the d-wave pairing state under a particular but realistic condition in the case with an…

超导电性 · 物理学 2011-02-11 Masatoshi Sato , Satoshi Fujimoto

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

Majorana fermions, quantum particles with non-Abelian exchange statistics, are not only of fundamental importance, but also building blocks for fault-tolerant quantum computation. Although certain experimental breakthroughs for observing…

介观与纳米尺度物理 · 物理学 2014-04-30 Rui-Lin Chu , Gui-Bin Liu , Wang Yao , Xiaodong Xu , Di Xiao , Chuanwei Zhang

We show that a one dimensional ultra-cold Fermi gas with Rashba-like spin orbit coupling, a Zeeman field and intrinsic attractive interactions exhibits a novel topological superfluid state, which forms in spite of total number conservation…

量子气体 · 物理学 2015-04-09 Jonathan Ruhman , Ehud Altman

Majorana fermions are predicted to localize at the edge of a topological superconductor, a state of matter that can form when a ferromagnetic system is placed in proximity to a conventional superconductor with strong spin-orbit interaction.…

介观与纳米尺度物理 · 物理学 2014-10-06 Stevan Nadj-Perge , Ilya K. Drozdov , Jian Li , Hua Chen , Sangjun Jeon , Jungpil Seo , Allan H. MacDonald , B. Andrei Bernevig , Ali Yazdani

We study one-component fermions in chain lattices with proximity-induced superconducting gap and interparticle short-range interaction, capable of hosting Majorana fermions. By systematically tracking various physical quantities, we show…

超导电性 · 物理学 2015-09-22 Y. -H. Chan , Ching-Kai Chiu , Kuei Sun

We study a single vortex in a two-dimensional $p+ip$ Fermi superfluid interacting with a Bose-Einstein condensate. The Fermi superfluid is topologically non-trivial and hosts a zero-energy Majorana bound state at the vortex core. Assuming a…

量子气体 · 物理学 2018-12-05 Jing-Bo Wang , Wei Yi , Jian-Song Pan

We investigate the properties of electron states localized at the edge of a superconducting island placed on the surface of a topological insulator in a magnetic field. In such systems, Majorana fermions emerge if an odd number of vortices…

介观与纳米尺度物理 · 物理学 2015-09-14 R. S. Akzyanov , A. L. Rakhmanov , A. V. Rozhkov , Franco Nori

Majorana fermions were proposed to occur at edges and interfaces of gapped one-dimensional systems where phases with different topological character meet due to an interplay of spin-orbit coupling, proximity-induced superconductivity and…

强关联电子 · 物理学 2013-05-29 Eran Sela , Alexander Altland , Achim Rosch

The Majorana fermion offers fascinating possibilities such as non-Abelian statistics and non-local robust qubits, and hunting it is one of the most important topics in current condensed matter physics. Most of the efforts have been focused…

介观与纳米尺度物理 · 物理学 2024-09-27 Lina Johnsen Kamra , Bo Lu , Jacob Linder , Yukio Tanaka , Naoto Nagaosa

In this work we study interacting spinless fermions on a two-chain ladder with inter-chain pair tunneling while single-particle tunneling is suppressed at low energy. The model embodies a $\mathbb{Z}_2$ symmetry associated with the fermion…

强关联电子 · 物理学 2011-11-03 Meng Cheng , Hong-Hao Tu

In this letter we present, in a number conserving framework, a model of interacting fermions in a two-wire geometry supporting non-local zero-energy Majorana-like edge excitations. The model has an exactly solvable line, on varying the…

强关联电子 · 物理学 2015-10-12 Fernando Iemini , Leonardo Mazza , Davide Rossini , Rosario Fazio , Sebastian Diehl

It is shown that the presence of the Majorana fermion edge states along the perimeter of a topological superconductor can be probed using an interacting quantum dot coupled to three terminals: two spin-polarized (ferromagnetic) leads and…

强关联电子 · 物理学 2011-11-15 Rok Zitko

The fermionic and Majorana edge mode dynamics of various topological systems is compared, after a sudden global quench of the Hamiltonian parameters takes place. Attention is focused on the regimes where the survival probability of an edge…

介观与纳米尺度物理 · 物理学 2016-06-22 P. D. Sacramento

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

Majorana modes and fractional fermions are two types of edge zero modes appearing separately in topological superconductors and dimerized chains. Here we reveal how to harvest both types of edge modes simultaneously in an exotic chain. Such…

强关联电子 · 物理学 2016-02-04 Dan-bo Zhang , Qiang-Hua Wang , Z. D. Wang
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