From one-dimensional charge conserving superconductors to the gapless Haldane phase

A Keselman, E Berg, P Azaria - Physical Review B, 2018 - APS
We develop a framework to analyze the topological properties of one-dimensional systems
with charge conservation and tendency towards topological superconducting order. In …

Time-reversal soliton pairs in even spin Chern number higher-order topological insulators

YC Hung, B Wang, CH Hsu, A Bansil, H Lin - Physical Review B, 2024 - APS
Solitons formed through the one-dimensional mass-kink mechanism on the edges of two-
dimensional systems with nontrivial topology play an important role in the emergence of …

Interaction induced topological protection in one‐dimensional conductors

N Kainaris, RA Santos, DB Gutman… - Fortschritte der …, 2017 - Wiley Online Library
We discuss two one‐dimensional model systems–the first is a single channel quantum wire
with Ising anisotropy, while the second is two coupled helical edge states. We show that the …

Weakly interacting one-dimensional topological insulators: A bosonization approach

P Matveeva, D Gutman, ST Carr - Physical Review B, 2024 - APS
We investigate the topological properties of one-dimensional weakly interacting topological
insulators using bosonization. To do that we study the topological edge states that emerge at …

Transmission through a potential barrier in Luttinger liquids with a topological spin gap

N Kainaris, ST Carr, AD Mirlin - Physical Review B, 2018 - APS
We study theoretically the transport of the one-dimensional single-channel interacting
electron gas through a strong potential barrier in the parameter regime where the spin sector …

Marginally localized edges of time-reversal symmetric topological superconductors

YZ Chou, RM Nandkishore - Physical Review B, 2021 - APS
We demonstrate that the one-dimensional helical Majorana edges of two-dimensional time-
reversal symmetric topological superconductors (class DIII) can become gapless and …

Probing helicity and the topological origins of helicity via non-local Hanbury-Brown and Twiss correlations

A Mani, C Benjamin - Scientific Reports, 2017 - nature.com
Quantum Hall edge modes are chiral while quantum spin Hall edge modes are helical.
However, unlike chiral edge modes which always occur in topological systems, quasi-helical …

Localization-driven correlated states of two isolated interacting helical edges

YZ Chou - Physical Review B, 2019 - APS
We study the localization-driven correlated states among two isolated dirty interacting helical
edges as realized at the boundaries of two-dimensional Z 2 topological insulators. We show …

Composite helical edges from Abelian fractional topological insulators

YZ Chou, SD Sarma - arXiv preprint arXiv:2406.06669, 2024 - arxiv.org
We study an interacting composite $(1+ 1/n) $ Abelian helical edge state made of a regular
helical liquid carrying charge $ e $ and a (fractionalized) helical liquid carrying charge $ e/n …

Two-channel Kondo problem in coupled interacting helical liquids

S Biswas, A De Martino, S Rao, A Kundu - Physical Review B, 2024 - APS
We study the two-channel Kondo problem in the context of two interacting helical liquids
coupled to a spin-1 2 magnetic impurity. We show that the interactions between the two …