Link to the University of Pittsburgh Homepage
Link to the University Library System Homepage Link to the Contact Us Form

A continuum of compass spin models on the honeycomb lattice

Zou, Haiyuan and Liu, Bo and Zhao, Erhai and Liu, W Vincent (2016) A continuum of compass spin models on the honeycomb lattice. New Journal of Physics, 18 (5). 053040. ISSN 1367-2630

Published Version

Download (526kB) | Preview


Quantum spin models with spatially dependent interactions, known as compass models, play an important role in the study of frustrated quantum magnetism. One example is the Kitaev model on the honeycomb lattice with spin-liquid (SL) ground states and anyonic excitations. Another example is the geometrically frustrated quantum 120° model on the same lattice whose ground state has not been unambiguously established. To generalize the Kitaev model beyond the exactly solvable limit and connect it with other compass models, we propose a new model, dubbed 'the tripod model', which contains a continuum of compass-type models. It smoothly interpolates the Ising model, the Kitaev model, and the quantum 120° model by tuning a single parameter , the angle between the three legs of a tripod in the spin space. Hence it not only unifies three paradigmatic spin models, but also enables the study of their quantum phase transitions. We obtain the phase diagram of the tripod model numerically by tensor networks in the thermodynamic limit. We show that the ground state of the quantum 120° model has long-range dimer order. Moreover, we find an extended spin-disordered (SL) phase between the dimer phase and an antiferromagnetic phase. The unification and solution of a continuum of frustrated spin models as outline here may be useful to exploring new domains of other quantum spin or orbital models.


Social Networking:
Share |


Item Type: Article
Status: Published
CreatorsEmailPitt UsernameORCID
Zou, Haiyuan
Liu, W Vincent
Date: 27 May 2016
Date Type: Publication
Journal or Publication Title: New Journal of Physics
Volume: 18
Number: 5
Publisher: IOP Publishing
Page Range: 053040
DOI or Unique Handle: 10.1088/1367-2630/18/5/053040
Schools and Programs: Dietrich School of Arts and Sciences > Physics
Refereed: No
ISSN: 1367-2630
Official URL:
Article Type: Research Article
Date Deposited: 13 May 2020 14:35
Last Modified: 13 May 2020 14:35


Monthly Views for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item