Superfluid-Insulator and Roughening Transitions in Domain Walls

Abstract

We have performed quantum Monte Carlo simulations to investigate the superfluid behavior of one- and two-dimensional interfaces separating checkerboard solid domains. The system is described by the hard-core Bose-Hubbard Hamiltonian with nearest-neighbor interaction. In accordance with Ref.1, we find that (i) the interface remains superfluid in a wide range of interaction strength before it undergoes a superfluid-insulator transition; (ii) in one dimension, the transition is of the Kosterlitz-Thouless type and is accompanied by the roughening transition, driven by proliferation of charge 1/2 quasiparticles; (iii) in two dimensions, the transition belongs to the 3D U(1) universality class and the interface remains smooth. Similar phenomena are expected for domain walls in quantum antiferromagnets.

6 pages, 7 figures; references added, typo corrected in fig 5

References in corpus (3)

• Quantum phase transitions of light
• Localization of bosonic atoms by fermionic impurities in a 3d optical lattice
• High-Temperature Atomic Superfluidity in Lattice Boson-Fermion Mixtures

Cited by in corpus (3)

• Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
• Candidate theories to explain the anomalous spectroscopic signatures of atomic H in molecular H${}_2$ crystals
• Transverse Quantum Superfluids