Classification of topological quantum matter with symmetries

CK Chiu, JCY Teo, AP Schnyder, S Ryu - Reviews of Modern Physics, 2016 - APS
Topological materials have become the focus of intense research in recent years, since they
exhibit fundamentally new physical phenomena with potential applications for novel devices …

Opportunities in topological insulator devices

O Breunig, Y Ando - Nature Reviews Physics, 2022 - nature.com
Topological insulators (TIs) hold promise as a platform for unique quantum phenomena.
However, realizing these phenomena experimentally requires sophisticated devices. In this …

4π-periodic Josephson supercurrent in HgTe-based topological Josephson junctions

J Wiedenmann, E Bocquillon, RS Deacon… - Nature …, 2016 - nature.com
The Josephson effect describes the generic appearance of a supercurrent in a weak link
between two superconductors. Its exact physical nature deeply influences the properties of …

Transport in two-dimensional topological materials: recent developments in experiment and theory

D Culcer, AC Keser, Y Li, G Tkachov - 2D Materials, 2020 - iopscience.iop.org
We review theoretical and experimental highlights in transport in two-dimensional
topological materials over the last five years. Topological materials comprise topological …

Majorana fermion surface code for universal quantum computation

S Vijay, TH Hsieh, L Fu - Physical Review X, 2015 - APS
We introduce an exactly solvable model of interacting Majorana fermions realizing Z 2
topological order with a Z 2 fermion parity grading and lattice symmetries permuting the …

Evidence for an anomalous current–phase relation in topological insulator Josephson junctions

C Kurter, ADK Finck, YS Hor… - Nature communications, 2015 - nature.com
Josephson junctions with topological insulator weak links can host low-energy Andreev-
bound states giving rise to a current–phase relation that deviates from sinusoidal behaviour …

All Majorana models with translation symmetry are supersymmetric

TH Hsieh, GB Halász, T Grover - Physical review letters, 2016 - APS
We establish results similar to Kramers and Lieb-Schultz-Mattis theorems but involving only
translation symmetry and for Majorana modes. In particular, we show that all states are at …

Topological supercurrents interaction and fluctuations in the multiterminal Josephson effect

HY **e, A Levchenko - Physical Review B, 2019 - APS
We study the Josephson effect in the multiterminal junction of topological superconductors.
We use the symmetry-constrained scattering matrix approach to derive band dispersions of …

A topological Josephson junction platform for creating, manipulating, and braiding Majorana bound states

SS Hegde, G Yue, Y Wang, E Huemiller… - Annals of Physics, 2020 - Elsevier
As part of the intense effort toward identifying platforms in which Majorana bound states can
be realized and manipulated to perform qubit operations, we propose a topological …

Quantized thermal Hall conductance and the topological phase diagram of a superconducting bismuth bilayer

S Głodzik, N Sedlmayr - Physical Review B, 2023 - APS
Two-dimensional topological superconductors with chiral edge modes are predicted to
possess a quantized thermal Hall effect proportional to the Chern number, exactly half that …