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The recent realization of a two-site Kitaev chain featuring "poor man's Majorana" states demonstrates a path forward in the field of topological superconductivity. Harnessing the potential of these states for quantum information processing,…

Floquet Majorana edge modes capture the topological features of periodically driven superconductors. We present a Kitaev chain with multiple time periodic driving and demonstrate how the avoidance of bands crossing is altered, which gives…

Mesoscale and Nanoscale Physics · Physics 2019-10-25 Huan-Yu Wang , Lin Zhuang , W. M. Liu

A three-dimensional Kitaev model on a hyperhoneycomb lattice is investigated numerically at finite temperature. The Kitaev model is one of the solvable quantum spin models, where the ground state is given by gapped and gapless spin liquids,…

Strongly Correlated Electrons · Physics 2015-06-22 Joji Nasu , Masafumi Udagawa , Yukitoshi Motome

Recent experimental efforts towards the detection of Majorana bound states have focused on creating the conditions for topological superconductivity. Here we demonstrate an alternative route, which achieves fully localised zero-energy…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Pablo San-Jose , Jorge Cayao , Elsa Prada , Ramón Aguado

Artificial Kitaev chains can be used to engineer Majorana bound states (MBSs) in superconductor-semiconductor hybrids. In this work, we realize a two-site Kitaev chain in a two-dimensional electrongas by coupling two quantum dots through a…

The 1D Kitaev model in the topological phase, with open boundary conditions, hosts strong Majorana zero modes. These are fermion parity-odd operators that almost commute with the Hamiltonian and manifest in long coherence times for edge…

Mesoscale and Nanoscale Physics · Physics 2022-08-29 Loredana M. Vasiloiu , Apoorv Tiwari , Jens H. Bardarson

Majorana modes can arise as zero energy bound states in a variety of solid state systems. A two-dimensional phase supporting these quasiparticles, for instance, emerges on the surface of a topological superconductor with the zero modes…

Strongly Correlated Electrons · Physics 2021-03-26 Tarun Tummuru , Alberto Nocera , Ian Affleck

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…

Disordered Systems and Neural Networks · Physics 2021-07-20 Shujie Cheng , Yufei Zhu , Gao Xianlong , Tong Liu

We consider a 1D topological superconductor (TSC) constructed by coupling a pair of Kitaev's Majorana chains with opposite spin configurations. Such a 1D lattice model is known to be protected by a $T^2 = -1$ time-reversal symmetry.…

Mesoscale and Nanoscale Physics · Physics 2021-03-02 Alestin Mawrie

We study the Kitaev model on a finite-size square lattice with periodic boundary conditions in one direction and open boundary conditions in the other. Based on the fact that the Majorana representation of Kitaev model is equivalent to a…

Quantum Physics · Physics 2018-08-27 P. Wang , S. Lin , G. Zhang , Z. Song

Low dimensional structures in the non-trivial topological phase can host the in-gap Majorana bound states, identified experimentally as zero-bias peaks in differential conductance. Theoretical methods for studying Majorana modes are mostly…

Mesoscale and Nanoscale Physics · Physics 2021-09-14 Andrzej Więckowski , Andrzej Ptok , Marcin Mierzejewski , Michał Kupczyński

In a recent breakthrough experiment [Nature (London) 614, 445 (2023)], signatures of Majorana zero modes have been observed in tunnel spectroscopy for a minimal Kitaev chain constructed from coupled quantum dots. However, as Ising anyons,…

Mesoscale and Nanoscale Physics · Physics 2023-08-31 Chun-Xiao Liu , Haining Pan , F. Setiawan , Michael Wimmer , Jay D. Sau

We simulate the smallest building block of the Sachdev-Ye-Kitaev (SYK) model, a system of four interacting Majorana modes. We propose a 1D Kitaev chain that has been split into three segments, i.e., two topological segments separated by a…

Mesoscale and Nanoscale Physics · Physics 2022-12-14 Tasnum Reza , Sergey M. Frolov , David Pekker

We study the conditions for the existence of unpaired Majorana modes at the ends of vortex lines or the side edges of a layered topological superconductor. We show that the problem is mapped to that of a general Majorana chain and extend…

Superconductivity · Physics 2012-03-01 Babak Seradjeh , Eytan Grosfeld

We propose an approach to detect the peculiarity of Majorana fermions at the edges of Kitaev magnets. As is well known, a pair of Majorana edge modes is realized when a single complex fermion splits into real and imaginary parts which are,…

Strongly Correlated Electrons · Physics 2019-05-17 Tomonari Mizoguchi , Tohru Koma

The hybrid nanowire consisting of semiconductor with proximity to superconductor is expected to serve as an experimental platform to display Majorana zero modes. By rederiving its effective Kitaev model with spins, we discover a novel…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Guo-Jian Qiao , Sheng-Wen Li , C. P. Sun

Semiconductor-s-type superconductor nanowires host spinful fermions and cannot be reduced to a single spinless Kitaev chain hosting single Majorana zero mode. Instead, such systems can be converted into two coupled p-wave Kitaev-like chains…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mijanur Islam , Mahan Mohseni , Ibsal Assi , Daniel Miravet , Pawel Hawrylak

Magnet-superconductor hybrid (MSH) systems represent promising platforms to host Majorana zero modes (MZMs), the elemental building blocks for fault-tolerant quantum computers. Theoretical description of such MSH structures is mostly based…

The Majorana edge states of the Kitaev chain model have attracted extensive attention on their stability and experimental realization. One of the interesting aspects is finding the exotic proximity effect, which guarantees the presence of…

Superconductivity · Physics 2022-02-16 Junmo Jeon , SungBin Lee

We investigate the resilience of symmetry-protected topological edge states at the boundaries of Kitaev chains in the presence of a bath which explicitly introduces symmetry-breaking terms. Specifically, we focus on single-particle losses…

Disordered Systems and Neural Networks · Physics 2015-11-11 Alexander Carmele , Markus Heyl , Christina Kraus , Marcello Dalmonte