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Quantum orders in the frustrated Ising model on the bathroom tile lattice | | Sumner N. Hearth
; Siddhardh C. Morampudi
; Chris R. Laumann
; | | Date: |
24 Jan 2022 | | Abstract: | We determine the zero and finite temperature phase diagram of the fully
frustrated quantum Ising model on the bathroom tile (4-8) lattice. % The phase
diagram exhibits a wealth of 2+1d physics, including 1. classical Coulomb dimer
liquids of both square and triangular lattice types; 2. quantum
order-by-disorder induced phases breaking $mathbb{Z}_4$, $mathbb{Z}_6$, and
$mathbb{Z}_8$ symmetries; 3. finite temperature Kosterlitz-Thouless (KT)
phases floating over the $mathbb{Z}_6$ and $mathbb{Z}_8$ orders; and, 4.
staircases of (in)-commensurate symmetry breaking phases at intermediate
coupling. We establish this elaborate phase diagram using a combination of
dimer model mapping, perturbation theory, Landau analysis and Stochastic Series
Expansion Quantum Monte Carlo (QMC-SSE). Our results provide a baseline for
studying frustrated magnetism with D-Wave architecture annealers, where the 4-8
lattice can be embedded naturally without ’cloning’, reducing the number of
competing energy scales. Simulations with the D-Wave 2000Q demonstrate
qualitative agreement with the high temperature portion of the phase diagram,
but are unable to access the low temperature phases. | | Source: | arXiv, 2201.09904 | | Services: | Forum | Review | PDF | Favorites | |
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