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Periodic driving of a quantum system can enable new topological phases with no analog in static systems. In this paper we systematically classify one-dimensional topological and symmetry-protected topological (SPT) phases in interacting…

Strongly Correlated Electrons · Physics 2017-05-26 Andrew C. Potter , Takahiro Morimoto , Ashvin Vishwanath

We show that interactions can drive a class of higher order topological superconductors (HOTSC) into symmetry enriched topologically ordered phases exemplified by topological quantum error correcting codes. In two dimensions, interacting…

Strongly Correlated Electrons · Physics 2019-08-21 Yizhi You , Daniel Litinski , Felix von Oppen

We present a new scheme for Majorana modes in systems with nonsymmporhic-symmetry-protected band degeneracy. We reveal that when the gapless fermionic excitations are encoded with conventional superconductivity and magnetism, which can be…

Superconductivity · Physics 2024-10-10 Zhongyi Zhang , Zhenfei Wu , Chen Fang , Fu-chun Zhang , Jiangping Hu , Yuxuan Wang , Shengshan Qin

Electronic materials harbor a plethora of exotic quantum phases, ranging from unconventional superconductors to non-Fermi liquids, and, more recently, topological phases of matter. While these quantum phases in integer dimensions are well…

Mesoscale and Nanoscale Physics · Physics 2022-06-01 Sourav Manna , Snehasish Nandy , Bitan Roy

We study the formation of hybrid plasmon-magnon modes in a heterostructure comprising a monolayer semiconductor with strong Rashba spin-orbit coupling -- specifically, Janus transition-metal dichalcogenides (TMDs) -- and an insulating…

Mesoscale and Nanoscale Physics · Physics 2026-02-06 Cooper Finnigan , Mehdi Kargarian , Dmitry K. Efimkin

We investigate the topological phase diagram of {an extension of the Haldane model with equal spin pairing superconductivity}. In two dimensions, we find a topological nodal superconducting phase, which exhibits a chiral Majorana mode…

Mesoscale and Nanoscale Physics · Physics 2026-04-21 Simone Traverso , Niccolò Traverso Ziani , Maura Sassetti , Fernando Dominguez

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,…

Strongly Correlated Electrons · Physics 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

We introduce and develop an approach to realizing a topological phase transition and non-Abelian statistics with dynamically induced Floquet Majorana Fermions (FMFs). When the periodic driving potential does not break fermion parity…

Mesoscale and Nanoscale Physics · Physics 2013-07-30 Dong E. Liu , Alex Levchenko , Harold U. Baranger

We present a method for simulating any non-interacting and time-periodic tight-binding Hamiltonian in Fourier space using electric circuits made of inductors and capacitors. We first map the time-periodic Hamiltonian to a Floquet…

Mesoscale and Nanoscale Physics · Physics 2023-12-06 S. Sajad Dabiri , H. Cheraghchi

We study all possible Majorana modes in two-dimensional spin-orbit coupled ferromagnetic superconductor-normal state-superconductor (SNS) Josephson junctions and propose experiments to detect them. With the S region in a non-trivial…

Superconductivity · Physics 2015-05-28 Annica M. Black-Schaffer , Jacob Linder

Majorana fermions are predicted to play a crucial role in condensed matter realizations of topological quantum computation. These heretofore undiscovered quasiparticles have been predicted to exist at the cores of vortex excitations in…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hsiang-Hsuan Hung , Pouyan Ghaemi , Taylor L. Hughes , Matthew J. Gilbert

Recently, the notion of topological phases of matter has been extended to higher-order incarnations, supporting gapless modes on even lower dimensional boundaries, such as corners and hinges. We here identify a collection of cubic spin-3/2…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Andras Szabo , Roderich Moessner , Bitan Roy

Semiconductor-superconductor hybrid systems are promising candidates for the realization Majorana fermions and topological order, i.e. topologically protected degeneracies, in solid state devices. We show that the topological order is…

Mesoscale and Nanoscale Physics · Physics 2013-09-13 Björn Zocher , Mats Horsdal , Bernd Rosenow

Obeying non-Abelian statistics, Majorana fermions holds a promise to implement fault-tolerant quantum computing. It was found that Majorana fermions can be simulated by the zero-energy excitation in a nanowire with strong spin-orbit…

Quantum Physics · Physics 2024-05-24 Ming-Jian Gao , Yu-Peng Ma , Jun-Hong An

Topological superconductors are predicted to harbor exotic boundary states - Majorana zero-energy modes - whose non-Abelian braiding statistics present a new paradigm for the realization of topological quantum computing. Using…

We show that Majorana fermions (MFs) exist in two- and three-dimensional (2D,3D) fermionic optical lattices with strictly 1D spin-orbit coupling (SOC) which has already been realized in ex- periments. For a quasi-1D topological BCS…

Quantum Gases · Physics 2015-08-18 Chunlei Qu , Ming Gong , Yong Xu , Sumanta Tewari , Chuanwei Zhang

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Junyeong Ahn , Bohm-Jung Yang

Superconductivity and the quantum Hall effect are considered to be two cornerstones of condensed matter physics. The realization of hybrid structures where these two effects coexist has recently become an active field of research. In this…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

Exceptional degeneracies and generically complex spectra of non-Hermitian systems are at the heart of numerous phenomena absent in the Hermitian realm. Recently, it was suggested that Floquet dissipative coupling in the space-time domain…

Quantum Physics · Physics 2025-05-01 Zimo Zhang , Fengbo Zhang , Zhongxiao Xu , Ying Hu , Han Bao , Heng Shen

Majorana zero modes are a promising platform for topologically protected quantum information processing. Their non-Abelian nature, which is key for performing quantum gates, is most prominently exhibited through braiding. While originally…

Strongly Correlated Electrons · Physics 2019-07-10 Bela Bauer , T. Pereg-Barnea , Torsten Karzig , Maria-Theresa Rieder , Gil Refael , Erez Berg , Yuval Oreg
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