DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Quantum spin liquid with seven elementary particles

Journal Article · · Physical Review B
 [1];  [2];  [3];  [2]
  1. Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy; DOE/OSTI
  2. Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy
  3. Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)

We present an exactly solvable model of a quantum spin liquid with Abelian anyons in d = 2 spatial dimensions. With spins 1/2 on a triangular lattice and six-body interactions, our model has zero spin correlation length and localized elementary excitations like the toric codes of Kitaev and Wen. In contrast to those earlier models, it has more elementary particles—four bosons and three fermions—and higher topological degeneracy of 64 on a torus. Elementary excitations are boson-fermion pairs that come in 12 distinct flavors. We use string operators to expose the topological nature of the model.

Research Organization:
Johns Hopkins Univ., Baltimore, MD (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-08ER46544
OSTI ID:
1535891
Journal Information:
Physical Review B, Journal Name: Physical Review B Journal Issue: 14 Vol. 95; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

References (19)

Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette journal March 1931
Resonating valence bonds: A new kind of insulator? journal February 1973
What is the spin of a spin wave? journal October 1981
Fault-tolerant quantum computation by anyons journal January 2003
Anyons in an exactly solved model and beyond journal January 2006
Proximate Kitaev quantum spin liquid behaviour in a honeycomb magnet journal April 2016
Fractional spinon excitations in the quantum Heisenberg antiferromagnetic chain journal June 2013
Quantum spin liquids: a review journal November 2016
Large- n limit of the Heisenberg-Hubbard model: Implications for high- T c superconductors journal March 1988
Mean-field theory of spin-liquid states with finite energy gap and topological orders journal August 1991
Classifying fractionalization: Symmetry classification of gapped Z 2 spin liquids in two dimensions journal March 2013
Majorana edge states for Z 2 topological orders of the Wen plaquette and toric code models journal May 2013
Unpaired Majorana modes on dislocations and string defects in Kitaev's honeycomb model journal October 2014
Quantum order from string-net condensations and the origin of light and massless fermions journal September 2003
Mott Insulators in the Strong Spin-Orbit Coupling Limit: From Heisenberg to a Quantum Compass and Kitaev Models journal January 2009
Rigorous results on valence-bond ground states in antiferromagnets journal August 1987
Valence-bond and spin-Peierls ground states of low-dimensional quantum antiferromagnets journal April 1989
Unbound spinons in the S =1/2 antiferromagnetic chain KCuF 3 journal June 1993
Quantum Orders in an Exact Soluble Model journal January 2003

Cited By (2)

Macroscopically Degenerate Exactly Solvable Point in the Spin- 1 / 2 Kagome Quantum Antiferromagnet journal March 2018
Spin Liquid State and Topological Structural Defects in Hexagonal TbInO 3 journal July 2019