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A continuum compass model on the honeycomb lattice: phase diagram from tensor networks | | Haiyuan Zou
; Bo Liu
; Erhai Zhao
; W. Vincent Liu
; | | Date: |
7 Dec 2015 | | Abstract: | Quantum spin models with spatially dependent interactions, known as compass
models, play an important role in the study of frustrated quantum magnetism and
Mott insulators with orbital degrees of freedom. One example is the Kitaev
model on the honeycomb lattice with spin liquid ground states and anyonic
excitations. It is highly desirable to go beyond this exactly solvable limit by
generalizing the Kitaev model to connect with specific materials or other known
models. A conventional way to achieve this is through hybridization with other
models. For example, the Kitaev-Heisenberg model was proposed to describe the
iridates. Here we pursue an alternative direction and 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
$120^circ$ model by tuning a single parameter $ heta’$, the angle between the
three legs of a tripod in the spin space. Not only does the tripod model
establish a natural connection between the three paradigmatic models, but it
also enables the study of the quantum phase transitions between them. We solve
this model numerically by tensor networks in the thermodynamic limit and find a
spin-disordered (spin liquid) phase between an antiferromagnetic phase and a
dimer phase. Our results unambiguously establish the long-range order of the
geometrically frustrated $120^circ$ model and provide an intuitive picture for
the phase transition between the spin-liquid phase and the dimer phase. The
tripod model proposed here could be realized in cold atoms experiments by
introducing non-Abelian artificial gauge fields for the fermionic Hubbard
model. | | Source: | arXiv, 1512.2273 | | Services: | Forum | Review | PDF | Favorites | |
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