Mean field theory of superglasses

Abstract

We study the interplay of superfluidity and glassy ordering of hard core bosons with random, frustrating interactions. This is motivated by bosonic systems such as amorphous supersolid, disordered superconductors with preformed pairs, and helium in porous media. We analyze the fully connected mean field version of this problem, which exhibits three low-temperature phases, separated by two continuous phase transitions: an insulating, glassy phase with an amorphous frozen density pattern, a nonglassy superfluid phase, and an intermediate phase, in which both types of order coexist. We elucidate the nature of the phase transitions, highlighting in particular the role of glassy correlations across the superfluid-insulator transition. The latter suppress superfluidity down to T=0, due to the depletion of the low-energy density of states, unlike in the standard BCS scenario. Further, we investigate the properties of the coexistence (superglass) phase. We find anticorrelations between the local order parameters and a nonmonotonous superfluid order parameter as a function of T. The latter arises due to the weakening of the glassy correlation gap with increasing temperature. Implications of the mean field phenomenology for finite dimensional bosonic glasses with frustrating Coulomb interactions are discussed.

14 pages, 3 figures, comparison with Monte Carlo data added

References in corpus (7)

• Dicke quantum spin glass of atoms and photons
• Frustration and glassiness in spin models with cavity-mediated interactions
• Evidence for a Superglass State in Solid 4He
• Mean field theory for the three-dimensional Coulomb glass
• Theory of the superglass phase
• Thermodynamic Evidence for Nanoscale Bose-Einstein Condensation in ^4He Confined in Nanoporous Media
• Leggett's bound for amorphous solids

Cited by in corpus (12)

• Quantum charge glasses of itinerant fermions with cavity-mediated long-range interactions
• Superglass phase of interaction-blockaded gases on a triangular lattice
• Collective excitations and marginal stability of quantum Ising spin glasses
• Quantum Cluster Quasicrystals
• Localization of disordered bosons and magnets in random fields
• Quantum crystallography of Rydberg-dressed Bose gases on a square lattice
• Tuning the disorder of superglasses
• Mean-field theory of first-order quantum superconductor-insulator transition
• Stability of the replica-symmetric solution in the off-diagonally-disordered Bose-Hubbard model
• Fluctuation driven transitions in localized insulators: Intermittent metallicity and path chaos precede delocalization
• Time-reversal symmetry-breaking phenomena in transport study of kagome superconductivity
• Emergence of a superglass phase in the random hopping Bose-Hubbard model