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The search for Majorana bound states in solid-state physics has been limited to materials which display a gap in their bulk spectrum. We show that such unpaired states appear in certain quasi-one-dimensional Josephson junctions arrays with…

Mesoscale and Nanoscale Physics · Physics 2015-11-11 M. Pino , A. M. Tsvelik , L. B. Ioffe

Nodal topological superconductors display zero-energy Majorana flat bands at generic edges. The flatness of these edge bands, which is protected by time-reversal and translation symmetry, gives rise to an extensive ground-state degeneracy.…

Strongly Correlated Electrons · Physics 2016-06-22 Johannes S. Hofmann , Fakher F. Assaad , Andreas P. Schnyder

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

After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is…

Superconductivity · Physics 2013-05-14 Tudor D. Stanescu , Sumanta Tewari

Motivated by recent proposals for the generation of Majorana fermions in semiconducting hybrid structures, we examine possible experimental fingerprints of such excitations. Whereas previous works mainly have focused on zero-energy states…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jacob Linder , Asle Sudbø

Although the appearance of vortex-localized states with zero energy in first-order topological superconductors is well known, their possibility to form in the higher-order topological phase of 2D systems has not been completely uncovered…

Superconductivity · Physics 2025-06-06 A. D. Fedoseev , A. O. Zlotnikov

We investigate the effect of interactions on the stability of a disordered, two-dimensional topological insulator realized as an array of nanowires or chains of magnetic atoms on a superconducting substrate. The Majorana zero-energy modes…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 A. Milsted , L. Seabra , I. C. Fulga , C. W. J. Beenakker , E. Cobanera

We study a vortex chain in a thin film of a topological insulator with proximity-induced superconductivity---a promising platform to realize Majorana zero modes (MZMs)---by modeling it as a two-leg Majorana ladder. While each pair of MZMs…

Superconductivity · Physics 2017-06-16 Hsiang-Hsuan Hung , Jiansheng Wu , Kuei Sun , Ching-Kai Chiu

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…

Strongly Correlated Electrons · Physics 2012-01-17 Yuezhen Niu , Suk Bum Chung , Chen-Hsuan Hsu , Ipsita Mandal , S. Raghu , Sudip Chakravarty

Stringent constraints on the interactions of dark matter with the Standard Model suggest that dark matter does not take part in gauge interactions. In this regard, the possibility of communicating between the visible and dark sectors via…

High Energy Physics - Phenomenology · Physics 2022-08-19 Leonardo Coito , Carlos Faubel , Juan Herrero-García , Arcadi Santamaria , Arsenii Titov

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…

Strongly Correlated Electrons · Physics 2023-08-14 Natalia Chepiga , Nicolas Laflorencie

We analyze zero energy solutions of the Dirac equation in the background of a string-like configuration in an extension of the standard model which accommodates the most general fermionic mass matrix for neutrinos. If either the left- or…

High Energy Physics - Theory · Physics 2009-11-07 Glenn Starkman , Dejan Stojkovic , Tanmay Vachaspati

We study a one-dimensional (1D) chain of $2N$ Majorana bound states, which interact through a local quartic interaction. This model describes for example the edge physics of a quasi 1D stack of $2N$ Kitaev chains with modified time-reversal…

Mesoscale and Nanoscale Physics · Physics 2017-12-06 Zhao Liu , Emil J. Bergholtz , Alessandro Romito , Dganit Meidan

One of the cornerstones for topological quantum computations is the Majorana zero mode, which has been intensively searched in fractional quantum Hall systems and topological superconductors. Several recent works suggest that such an exotic…

Strongly Correlated Electrons · Physics 2018-04-18 Rui-Xing Zhang , Chao-Xing Liu

This paper studies an extended Kitaev chain with three sublattices per unit cell. This extended version is obtained by hybridizing a modified Su-Schrieffer-Heeger model featuring trimerized unit cells with the standard Kitaev chain,…

Mesoscale and Nanoscale Physics · Physics 2026-02-13 Mohammad Ghuneim , Raditya Weda Bomantara

We introduce a new type of one-dimensional Kitaev chain with staggered $p$-wave superconducting pairing. We find three physical regimes in this model by tuning the $p$-wave pairing and the chemical potential of the system. In the…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Xiao-Jue Zhang , Rong Lü , Qi-Bo Zeng

We study the low energy properties of warped monolayer graphene, where the symmetry of the original honeycomb lattice reveals itself. The zero energy solutions are Majorana fermions, whose wavefunction, originating from the corresponding…

Strongly Correlated Electrons · Physics 2015-05-14 Balazs Dora , Miklos Gulacsi , Pasquale Sodano

We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future…

Strongly Correlated Electrons · Physics 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

Quantum anomalous Hall insulator-superconductor heterostructures are predicted to host chiral Majorana fermions as edge modes, which is essential for topological quantum computing applications. Although the edge states have been extensively…

Mesoscale and Nanoscale Physics · Physics 2026-03-09 Xin Yue , Guo-Jian Qiao

We investigate dissipation-induced p-wave paired states of fermions in two dimensions and show the existence of spatially separated Majorana zero modes in a phase with vanishing Chern number. We construct an explicit and natural model of a…

Quantum Gases · Physics 2013-03-07 C. -E. Bardyn , M. A. Baranov , E. Rico , A. Imamoglu , P. Zoller , S. Diehl