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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

Chiral Majorana edge modes are theoretically proposed to perform braiding operations for the potential quantum computation. Here, we suggest a scheme to regulate trajectories of the chiral Majorana fermion based on a quantum anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2019-12-10 Qing Yan , Yan-Feng Zhou , Qing-Feng Sun

Topological superconductivity is currently one of the prime interests, given the properties of its exotic nature of chiral edge states. A broken time-reversal symmetry (TRS) is an essential ingredient in the recipe of a chiral edge state.…

Superconductivity · Physics 2025-08-05 Sajid Sekh , Andrzej Ptok

Atomic manipulation and interface engineering techniques have provided a novel approach to custom-designing topological superconductors and the ensuing Majorana zero modes, representing a new paradigm for the realization of topological…

Superconductivity · Physics 2023-01-18 Eric Mascot , Jasmin Bedow , Martin Graham , Stephan Rachel , Dirk K. Morr

The transition from the quantum Hall state to the insulator is considered for non-interacting electrons in a two-dimensional disordered lattice model with perpendicular magnetic field. Using correlated random disorder potentials the…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 H. Potempa , L. Schweitzer

The scaling behavior of the quantum phase transition from an insulator to a quantum Hall plateau state has often been examined within systems realizing Landau levels. We study the topological transition in energy band models with nonzero…

Disordered Systems and Neural Networks · Physics 2014-04-30 Jerimie Priest , S. P. Lim , D. N. Sheng

The frictionless, directional propagation of particles at the boundary of topological materials is one of the most striking phenomena in transport. These chiral edge modes lie at the heart of the integer and fractional quantum Hall effects,…

In this work we consider the influence of potential impurities deposited on top of two-dimensional chiral superconductors. As discovered recently, magnetic impurity lattices on an $s$-wave superconductor may give rise to a rich topological…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 Vardan Kaladzhyan , Joel Röntynen , Pascal Simon , Teemu Ojanen

We introduce a model of vortices in type-II superconductors with a four-fold anisotropy in the vortex-vortex interaction potential. Using numerical simulations we show that the vortex lattice undergoes structural transitions as the…

Superconductivity · Physics 2018-07-30 M. W. Olszewski , M. R. Eskildsen , C. Reichhardt , C. J. O. Reichhardt

Topological phases of matter that depend for their existence on interactions are fundamentally interesting and potentially useful as platforms for future quantum computers. Despite the multitude of theoretical proposals the only…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 D. I. Pikulin , Ching-Kai Chiu , Xiaoyu Zhu , M. Franz

We study theoretically the vortex matter structure in low dimensional (LD) systems with superconducting order induced by proximity to a bulk superconductor. We analyze the effects of microscopic coupling mechanisms between the two systems…

Superconductivity · Physics 2019-04-15 N. B. Kopnin , I. M. Khaymovich , A. S. Mel'nikov

A gel consists of a network of particles or molecules formed for example using the sol-gel process, by which a solution transforms into a porous solid. Particles or molecules in a gel are mainly organized on a scaffold that makes up a…

After the recognition of the possibility to implement Majorana fermions using the building blocks of solid-state matters, the detection of this peculiar particle has been an intense focus of research. Here we experimentally demonstrate a…

We study anisotropic lattice strips in the presence of a magnetic field in the quantum Hall effect regime. At specific magnetic fields, causing resonant Umklapp scattering, the system is gapped in the bulk and supports chiral edge states in…

Mesoscale and Nanoscale Physics · Physics 2013-11-06 Jelena Klinovaja , Daniel Loss

Monolayer WTe$_2$, a centrosymmetric transition metal dichacogenide, has recently been established as a quantum spin Hall insulator and found superconducting upon gating. Here we study the pairing symmetry and topological nature of…

Superconductivity · Physics 2020-09-07 Yi-Ting Hsu , William S. Cole , Rui-Xing Zhang , Jay D. Sau

Recently, the structural disorder-induced topological phase transitions in periodic systems have attracted much attention. However, in aperiodic systems such as quasicrystalline systems, the interplay between structural disorder and band…

Mesoscale and Nanoscale Physics · Physics 2024-08-08 Tan Peng , Yong-Chen Xiong , Chun-Bo Hua , Zheng-Rong Liu , Xiaolu Zhu , Wei Cao , Fang Lv , Yue Hou , Bin Zhou , Ziyu Wang , Rui Xiong

A topological superconductor, characterized by either a chiral order parameter or a chiral topological surface state in proximity to bulk superconductivity, is foundational to topological quantum computing. As in other topological phases of…

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

We demonstrate that a plethora of higher order topological phases emerge in magnet-superconductor hybrid (MSH) systems through the interplay of a stacked magnetic structure and an underlying triangular surface lattice; the latter being of…

We consider a fractional quantum Hall bilayer system with an interface between quantum Hall states of filling fractions $(\nu_{\text{top}},\nu_{\text{bottom}})=(1,1)$ and $(1/3,2)$, motivated by a recent approach to engineering artificial…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Jukka I. Väyrynen , Moshe Goldstein , Yuval Gefen