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arXiv · 2202.05570

Emergence of a superglass phase in the random hopping Bose-Hubbard model

Anna M. Piekarska·Tadeusz K. Kopeć
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Abstract

We study an experimentally feasible system of strongly correlated bosons with random hoppings, described by the infinite-range Bose-Hubbard model on a lattice with hopping integrals given by independent random variables of Gaussian distribution with non-zero mean. We solve this quantum model in the thermodynamic limit, employing the replica method and the Trotter-Suzuki formula. We find and describe a superglass phase that emerges at the interface between glass and superfluid phases. Both glassy and long-range orderings are present in the superglass and compete with each other, as revealed by the anticorrelation of their order parameters. We present phase diagrams in various cross-sections of the multidimensional space of system parameters. In selected parameter subspaces, we compare the results to those of non-disordered, diagonally-disordered, and once celebrated spin-glass systems.

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Anna M. Piekarska, Tadeusz K. Kopeć. 2022-02-11. Emergence of a superglass phase in the random hopping Bose-Hubbard model. https://doi.org/10.1103/physrevb.105.174203

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