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Extended quantum U(1)-liquid phase in a three-dimensional quantum dimer model | | Olga Sikora
; Nic Shannon
; Frank Pollmann
; Karlo Penc
; Peter Fulde
; | | Date: |
6 May 2011 | | Abstract: | Recently, quantum dimer models, in which the system can tunnel between
different classical dimer configurations, have attracted a great deal of
interest as a paradigm for the study of exotic quantum phases. Much of this
excitement has centred on the claim that a certain class of quantum dimer
model, defined on a bipartite lattice, can support a quantum U(1)-liquid phase
with deconfined fractional excitations in three dimensions. These fractional
monomer excitations are quantum analogues of the magnetic monopoles found in
spin ice. In this article we use extensive quantum Monte Carlo simulations to
establish the ground-state phase diagram of the quantum dimer model on the
three-dimensional, bipartite, diamond lattice as a function of the ratio &mu of
the potential to kinetic energy terms in the Hamiltonian. We find that, for
&mu_c = 0.75 +/- 0.04, the model undergoes a first-order quantum phase
transition from an ordered "R-state into an extended quantum U(1)-liquid phase,
which terminates in a quantum critical "RK point" for &mu=1. This confirms the
published field-theoretical scenario. We present detailed evidence for the
existence of the U(1)-liquid phase, and indirect evidence for the existence of
its photon and monopole excitations. We also explore some of the technical
ramifications of this analysis, benchmarking quantum Monte Carlo against a
variety of exact and perturbative results, comparing different variational wave
functions. The ergodicity of the quantum dimer model on a diamond lattice is
discussed in detail. These results complete and extend the analysis previously
published in [O. Sikora et al., Phys. Rev. Lett. 103, 247001 (2009)]. | | Source: | arXiv, 1105.1322 | | Services: | Forum | Review | PDF | Favorites | |
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