Low-energy Effective Theory for One-dimensional Lattice Bosons near Integer Filling

Abstract

A low-energy effective theory for interacting bosons on a one-dimensional lattice at and near integer fillings is proposed. It is found that two sets of bosonic phase fields are necessary in order to explain the complete phase diagram. Using the present effective theory, the nature of the quantum phase transitions among various phases can be identified. Moreover, the general condition for the appearance of the recently proposed Pfaffian-like state can be realized from our effective action.

6 pages, 2 figures, 1 table

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Cited by in corpus (9)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Rise and fall of hidden string order of lattice bosons
• Competing Supersolid and Haldane Insulator phases in the extended one-dimensional bosonic Hubbard model
• Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture
• Competing phases, phase separation and co-existence in the extended one-dimensional bosonic Hubbard model
• Anyonic Haldane insulator in one dimension
• Pfaffian-like ground states for bosonic atoms and molecules in one-dimensional optical lattices
• Quantum Phase Transitions and the Hidden Order in a Two-Chain Extended Boson Hubbard Model at Half-Odd-Integer Fillings
• A multicritical point of $S=1$ XXZ chain with single ion anisotropy