Topological phases with parafermions: theory and blueprints
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 …
excitations that generalize Majorana fermions and similarly underpin a host of novel …
Quantum phases and transitions in spin chains with non-invertible symmetries
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 …
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
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 …
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 …
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 …
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 …
separating a critical phase from a gapped phase with order-disorder coexistence. We show …
Map** topological to conformal field theories through strange correlators
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 …
et al.[Phys. Rev. Lett. 112, 247202 (2014) PRLTAO 0031-9007 10.1103/PhysRevLett …
Generalizations of Kitaev's honeycomb model from braided fusion categories
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 …
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
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 …
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
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) …
chains on the finite circle. Our goal is to characterize the conformal field theory (CFT) …