Topological phases with parafermions: theory and blueprints

J Alicea, P Fendley - Annual Review of Condensed Matter …, 2016 - annualreviews.org
We concisely review the recent evolution in the study of parafermions—exotic emergent
excitations that generalize Majorana fermions and similarly underpin a host of novel …

Quantum phases and transitions in spin chains with non-invertible symmetries

A Chatterjee, ÖM Aksoy, XG Wen - SciPost Physics, 2024 - scipost.org
Generalized symmetries often appear in the form of emergent symmetries in low energy
effective descriptions of quantum many-body systems. Non-invertible symmetries are a …

Lattice realizations of topological defects in the critical (1+ 1)-d three-state Potts model

M Sinha, F Yan, L Grans-Samuelsson, A Roy… - Journal of High Energy …, 2024 - Springer
A bstract Topological/perfectly-transmissive defects play a fundamental role in the analysis
of the symmetries of two dimensional conformal field theories (CFTs). In the present work …

Designer non-Abelian anyon platforms: from Majorana to Fibonacci

J Alicea, A Stern - Physica Scripta, 2015 - iopscience.iop.org
The emergence of non-Abelian anyons from large collections of interacting elementary
particles is a conceptually beautiful phenomenon with important ramifications for fault …

Dynamical phase transition and scaling in the chiral clock Potts chain

XJ Yu - Physical Review A, 2023 - APS
Based on time-dependent variational-principle algorithms, we investigate the dynamical
critical behavior of quantum three-state Potts chains with chiral interactions. Using the …

Lattice supersymmetry and order-disorder coexistence in the tricritical Ising model

E O'Brien, P Fendley - Physical review letters, 2018 - APS
We introduce and analyze a quantum spin or Majorana chain with a tricritical Ising point
separating a critical phase from a gapped phase with order-disorder coexistence. We show …

Map** topological to conformal field theories through strange correlators

R Vanhove, M Bal, DJ Williamson, N Bultinck… - Physical review …, 2018 - APS
We extend the concept of strange correlators, defined for symmetry-protected phases in You
et al.[Phys. Rev. Lett. 112, 247202 (2014) PRLTAO 0031-9007 10.1103/PhysRevLett …

Generalizations of Kitaev's honeycomb model from braided fusion categories

L Eck, P Fendley - arxiv preprint arxiv:2408.04006, 2024 - arxiv.org
Fusion surface models, as introduced by Inamura and Ohmori, extend the concept of anyon
chains to 2+ 1 dimensions, taking fusion 2-categories as their input. In this work, we …

Symmetry-enriched topological order in tensor networks: Defects, gauging and anyon condensation

DJ Williamson, N Bultinck, F Verstraete - arxiv preprint arxiv:1711.07982, 2017 - arxiv.org
We study symmetry-enriched topological order in two-dimensional tensor network states by
using graded matrix product operator algebras to represent symmetry induced domain walls …

Extraction of conformal data in critical quantum spin chains using the Koo-Saleur formula

A Milsted, G Vidal - Physical Review B, 2017 - APS
We study the emergence of two-dimensional conformal symmetry in critical quantum spin
chains on the finite circle. Our goal is to characterize the conformal field theory (CFT) …