Anyonic liquids in nearly saturated spin chains

Most Heisenberg-like spin chains flow to a universal free-fermion fixed point near the magnetic-field induced saturation point. Here, we show that an exotic fixed point, characterized by two species of low-energy excitations with mutual anyonic statistics, may also emerge in such spin chains if the...

Full description

Saved in:
Bibliographic Details
Published inPhysical review letters Vol. 113; no. 26; p. 267201
Main Authors Rahmani, Armin, Feiguin, Adrian E, Batista, Cristian D
Format Journal Article
LanguageEnglish
Published United States 31.12.2014
Online AccessGet more information

Cover

More Information
Summary:Most Heisenberg-like spin chains flow to a universal free-fermion fixed point near the magnetic-field induced saturation point. Here, we show that an exotic fixed point, characterized by two species of low-energy excitations with mutual anyonic statistics, may also emerge in such spin chains if the dispersion relation has two minima. By using bosonization, two-magnon exact calculations, and numerical density-matrix-renormalization-group calculations, we demonstrate the existence of this anyonic-liquid fixed point in an xxz spin chain with up to second-neighbor interactions. We also identify a range of microscopic parameters, which support this phase.
ISSN:1079-7114
DOI:10.1103/PhysRevLett.113.267201