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Title: Strongly Correlated Phases in the Anisotropic Honeycomb Lattice
Keywords: honeycomb lattice, optical lattice, spin liquid, strongly correlated, Hubbard model, anisotropic hopping
Issue Date: 25-Oct-2012
Citation: WANG GUANGQUAN (2012-10-25). Strongly Correlated Phases in the Anisotropic Honeycomb Lattice. ScholarBank@NUS Repository.
Abstract: In this thesis we present our results concerning the various strongly correlated phases and phase transitions in the honeycomb optical lattice with in-plane anisotropic hopping amplitudes. In particular, the anti-ferromagnetic and the spin-liquid transition in the monolayer honeycomb lattice as well as the pairing transition in the AA-stacked bilayer case are studied, both within the framework of the Hubbard Model. The main methods used are the mean-field self-consistent and the slave-rotor methods. The results of these methods are then complemented by the Stoner?s criterion calculation and an effective Hamiltonian that we derived for the strongly-correlated limit. The AF transition line that we obtained shows features that can be explained using simple physical arguments, while our studies on the possible spin-liquid phase provide convincing arguments for the existence of a spin-liquid phase in the limit of strong-anisotropy.
Appears in Collections:Ph.D Theses (Open)

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