Superfluid-Insulator and Roughening Transitions in Domain Walls

Details Superfluid-Insulator and Roughening Transitions in Domain Walls Superfluid-Insulator and Roughening Transitions in Domain Walls

2007-07-26

arxiv.org/abs/0707.3930v2

Physical Review A, vol. 76, 043628 (2007)

Physics

Condensed Matter

Other Condensed Matter

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

Scientific paper

10.1103/PhysRevA.76.043628

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.

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