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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.…

Mesoscale and Nanoscale Physics · Physics 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

Haldane model is a celebrated tight binding toy model in a 2D honeycomb lattice that exhibits quantized Hall conductance in the absence of an external magnetic field. In our work, we deform the bands of the Haldane model smoothly by varying…

Mesoscale and Nanoscale Physics · Physics 2023-04-24 Srijata Lahiri , Saurabh Basu

Motivated by the spin-momentum locking of electrons at the boundaries of topological insulators, we study a one-dimensional system of spin-orbit coupled massless Dirac electrons with $s$-wave superconducting pairing. As a result of the…

Mesoscale and Nanoscale Physics · Physics 2021-02-18 Adithi Udupa , Abhishek Banerjee , K. Sengupta , Diptiman Sen

We propose a theoretical model to investigate the interplay between altermagnetism and $p$-wave superconductivity, with a particular focus on topological phase transitions in a two-dimensional (2D) $p$-wave superconductor, considering both…

Superconductivity · Physics 2025-08-06 Pritam Chatterjee , Vladimir Juričić

Topological phases of matter have been used as a fertile realm of intensive discussions about fermionic fractionalization. In this work, we study the effects of anisotropic superconducting correlations in the fermionic fractionalization on…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 M. A. R. Griffith , E. Mamani , L. Nunes , H. Caldas

It is known that the surface of a three-dimensional topological insulator (3D TI) supports a chiral Majorana edge mode at the interface between a superconductor and a magnetic insulator. The complexity of the materials combination is such…

Mesoscale and Nanoscale Physics · Physics 2024-11-11 C. W. J. Beenakker

We discuss a two-band model for two-dimensional superconductors with electron and hole bands separated by an energy gap and singlet $d$-wave pairing in each band. This type of model exhibits a V-shaped to U-shaped transition in the density…

Superconductivity · Physics 2025-02-27 Senne Van Loon , Carlos A. R. Sa de Melo

We study a honeycomb Kondo lattice model in which Dirac conduction electrons are coupled to a spin-1/2 Kitaev quantum spin liquid. For weak Kondo coupling, the spins fractionalize into Majorana fermions comprising a gapless Dirac mode and…

Strongly Correlated Electrons · Physics 2026-03-30 Jennifer Lin , Frank Krüger

Dirac semimetals (DSMs) are an important class of topological states of matter. Here, focusing on DSMs of band inversion type, we investigate their boundary modes from the effective model perspective. We show that in order to properly…

Materials Science · Physics 2023-01-18 Xu-Tao Zeng , Ziyu Chen , Cong Chen , Bin-Bin Liu , Xian-Lei Sheng , Shengyuan A. Yang

Semiconducting nanowires in proximity to superconductors are promising experimental systems for Majorana fermions, which may ultimately be used as building blocks for topological quantum computers. A serious challenge in the experimental…

Superconductivity · Physics 2012-07-19 Jay D. Sau , S. Das Sarma

We propose to realize Majorana fermions (MFs) on an edge of a two-dimensional topological insulator in the proximity with s-wave superconductors and in the presence of transverse exchange field h. It is shown that there appear a pair of MFs…

Mesoscale and Nanoscale Physics · Physics 2013-05-06 L. B. Shao , Z. D. Wang , R. Shen , L. Sheng , B. G. Wang , D. Y. Xing

Floquet Majorana Fermions appear as steady states at the boundary of time-periodic topological phases of matter. In this work, we theoretically study the main features of these exotic topological phases in the periodically driven…

Strongly Correlated Electrons · Physics 2015-01-13 Mónica Benito , Álvaro Gómez-León , Victor Bastidas , Tobias Brandes , Gloria Platero

We have investigated the effects of long-range Coulomb interaction on the topological superconducting phase in a quasi-one dimensional semiconductor wire, proximity coupled to a s-wave using the exact diagonalization approach. We find that…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Areg Ghazaryan , Tapash Chakraborty

Topological phases and materials have attracted much attention in recent years. Though many progress has been made, the effect of nonlinearity on such system remains untouched. In this paper, by considering the mean-field approximation in a…

Quantum Physics · Physics 2020-07-08 Fude Li , X. X. Yi

We find a series of topological phase transitions in a half-metal/superconductor heterostructure, by tuning the direction of the magnetization of the half-metal film. These include transitions between a topological superconducting phase…

Superconductivity · Physics 2016-10-18 Lei Hao , C. S. Ting

Results are presented for the dynamics of an almost strong edge mode which is the quasi-stable Majorana edge mode occurring in non-integrable spin chains. The dynamics of the edge mode is studied using exact diagonalization, and compared…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 Daniel J. Yates , Alexander G. Abanov , Aditi Mitra

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…

Quantum Physics · Physics 2021-09-13 Yang Zhang , Wei Nie , Yu-xi Liu

An interplay between pairing and topological orders has been predicted to give rise to superconducting states supporting exotic emergent particles, such as Majorana particles obeying non-Abelian braid statistics. We consider a system of…

Superconductivity · Physics 2022-08-10 Jonathan Schirmer , C. -X. Liu , J. K. Jain

We study the condition for a topological superconductor (TS) phase with end Majorana fermions to appear when a quasiperiodic lattice modulation is applied to a one-dimensional quantum wire with strong spin-orbit interaction situated under a…

Superconductivity · Physics 2012-04-25 Masaki Tezuka , Norio Kawakami

We study a chain of ferromagnetic nano-particles or ferromagnetic molecule/atoms on a substrate of fully gapped superconductors. We find that under quite realistic conditions, the fermion-number-parity symmetry $Z_2^f$ can spontaneously…

Strongly Correlated Electrons · Physics 2015-10-28 Joel Klassen , Xiao-Gang Wen