Critical behavior of the supersolid transition in Bose-Hubbard models
- Institut fuer Theoretische Physik, Physik-Department der Technischen Universitaet Muenchen, James-Franck-Strasse, D-85747 Garching (Germany)
- Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030 (United States)
We study the phase transitions of interacting bosons at zero temperature between superfluid (SF) and supersolid (SS) states. The latter are characterized by simultaneous off-diagonal long-range order and broken translational symmetry. The critical phenomena is described by a long-wavelength effective action, derived on symmetry grounds and verified by explicit calculation. We consider two types of supersolid ordering: checkerboard (X) and collinear (C), which are the simplest cases arising in two dimensions on a square lattice. We find that the SF-CSS transition is in the three-dimensional XY universality class. The SF-XSS transition exhibits nontrivial critical behavior, and appears, within a d=3{minus}{epsilon} expansion, to be driven generically first order by fluctuations. However, within a one-loop calculation directly in d=2 a strong-coupling fixed point with striking {open_quotes}non-Bose-liquid{close_quotes} behavior is found. At special isolated multicritical points of particle-hole symmetry, the system falls into the three-dimensional Ising universality class. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 470845
- Journal Information:
- Physical Review, B: Condensed Matter, Vol. 55, Issue 2; Other Information: PBD: Jan 1997
- Country of Publication:
- United States
- Language:
- English
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