The low-energy theory for the Bose-Hubbard model and the normal ground state of bosons

Abstract

A bosonic realization of the SU(2) Lie algebra and of its vector representation is constructed, and an effective low-energy description of the Bose-Hubbard model in the form of anisotropic theory of quantum rotors is proposed and discussed. A possibility of a normal zero-temperature bosonic phase with neither crystalline nor superfluid order around the tip of the checkerboard-solid lobe at half-integer fillings is examined.

8 pages, LaTex, one postscript figure

References in corpus (6)

• Cold bosonic atoms in optical lattices
• Phases of the one-dimensional Bose-Hubbard model
• On the existence of a Bose Metal at T=0
• Finite temperature transport at the superconductor-insulator transition in disordered systems
• Critical behavior at superconductor-insulator phase transitions near one dimension
• Quantum Phase Transitions for Bosons in One Dimension

Cited by in corpus (3)

• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• Destruction of diagonal and off-diagonal long range order by disorder in two-dimensional hard core boson systems
• Competition between superconductivity and charge density waves