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The coherence length of two Majorana zero energy modes in a p-wave topological superconductor is inversely proportional to the superconducting order parameter. We studied the finite size effect of the Majorana zero modes at vortices in a…

Superconductivity · Physics 2023-06-14 Bo Fu , Shun-Qing Shen

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

Conventional topological superconductors are fully gapped in the bulk but host gapless Majorana modes on their boundaries. We instead focus on a new class of superconductors, second-order topological superconductors, that have gapped,…

Superconductivity · Physics 2018-11-09 Yuxuan Wang , Mao Lin , Taylor L. Hughes

Square-root higher-order topological insulators (HOTIs) are recently discovered new topological phases, with intriguing topological properties inherited from a parent lattice Hamiltonian. Different from conventional HOTIs, the square-root…

Just like insulators can host topological Dirac states at their edges, superconductors can also exhibit topological phases characterized by Majorana edge states. Remarkable zero-energy states have been recently observed at the two ends of…

Higher-order topological materials with topologically protected states at the boundaries of their boundaries (hinges or corners) have attracted attention in recent years. In this paper, we utilize time-periodic driving to generate…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 Raditya Weda Bomantara

Altermagnet-superconductor heterostructures have been shown, in principle, to provide a route towards realising topological superconductivity, and therefore host topologically protected boundary states. In this work we demonstrate that the…

Mesoscale and Nanoscale Physics · Physics 2026-01-12 George McArdle , Brian Kiraly , Peter Wadley , Adam Gammon-Smith

In this work, we study the spin texture of a class of higher-order topological superconductors (HOTSC) and show how it can be used to detect and braid Majorana corner modes (MCMs). This class of HOTSC is composed of two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 Xiao-Hong Pan , Xun-Jiang Luo , Jin-Hua Gao , Xin Liu

The realization of topological superconductors (SCs) in one or two dimensions is a highly pursued goal. Prominent proposed realization schemes include semiconductor/superconductor heterostructures and set stringent constraints on the…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Yoav Levine , Arbel Haim , Yuval Oreg

The chiral topological superconductor in two dimensions has a full pairing gap in the bulk and a single chiral Majorana state at the edge. The vortex of the chiral superconducting state carries a Majorana zero mode which is responsible for…

Mesoscale and Nanoscale Physics · Physics 2015-03-13 Xiao-Liang Qi , Taylor L. Hughes , Shou-Cheng Zhang

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 study surface states of topological crystalline insulators and superconductors protected by inversion symmetry. These fall into the category of "higher-order" topological insulators and superconductors which possess surface states that…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 Eslam Khalaf

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

In the heterostructure composed of a topological insulator sandwiched by two s-wave superconductors, the time reversal invariant topological superconducting phase, possessing helical Majorana edge modes, is found to exist when the two…

Mesoscale and Nanoscale Physics · Physics 2012-08-21 Chao-Xing Liu , Bjoern Trauzettel

Floquet higher-order topological insulators and superconductors (HOTI/SCs) with an order-two space-time symmetry or antisymmetry are classified. This is achieved by considering unitary loops, whose nontrivial topology leads to the anomalous…

Mesoscale and Nanoscale Physics · Physics 2020-02-12 Yang Peng

We establish quasi-two-dimensional thin films of iron-based superconductors (FeSCs) as a new high-temperature platform for hosting intrinsic time-reversal-invariant helical topological superconductivity (TSC). Based on the combination of…

Superconductivity · Physics 2021-04-13 Rui-Xing Zhang , S. Das Sarma

We construct time reversal invariant topological superconductors and superfluids in two and three dimensions which are analogous to the recently discovered quantum spin Hall and three-d $Z_2$ topological insulators respectively. These…

Superconductivity · Physics 2013-05-29 Xiao-Liang Qi , Taylor L. Hughes , Srinivas Raghu , Shou-Cheng Zhang

The chiral $p$-wave superconductor/superfluid in two dimensions (2D) is the simplest and most robust system for topological quantum computation . Candidates for such topological superconductors/superfluids in nature are very rare. A widely…

Superconductivity · Physics 2020-03-27 Xi Luo , Yu-Ge Chen , Ziqiang Wang , Yue Yu

The search for a superconductor with non-s-wave pairing is important not only for understanding unconventional mechanisms of superconductivity but also for finding new types of quasiparticles such as Majorana bound states. Materials with…

The combination of magnetism and topology in magnetic topological insulators (MTIs) has led to unprecedented advancements of time reversal symmetry-breaking topological quantum physics in the past decade. Compared with the uniform films,…

Mesoscale and Nanoscale Physics · Physics 2021-02-26 Qi Yao , Yuchen Ji , Peng Chen , Qing-Lin He , Xufeng Kou