arXiv:cond-mat/0605266

Slave rotor theory of antiferromagnetic Hubbard model

Ki‐Seok Kim, Jung Hoon Han

Published May 10, 2006• 3 citations

Abstract

The slave-rotor mean-field theory of Florens and Georges is generalized to the antiferromagnetic phase of the Hubbard model. An effective action consisting of a spin rotor and a fermion is derived and the corresponding saddle-point action is analyzed. Zero-temperature phase diagram of the antiferromagnetic Hubbard model is presented. While the magnetic phase persists for all values of the Hubbard interaction U, the single-particle spectral function exhibits a crossover into an incoherent phase when the magnetic moment m (and the corresponding U values) lies within a certain window m_c < m < 1-m_c, indicating a possible deviation from the Hartree-Fock theory.

DOI: 10.48550/arxiv.cond-mat/0605266

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arXiv:cond-mat/0605266

Slave rotor theory of antiferromagnetic Hubbard model

Ki‐Seok Kim, Jung Hoon Han

Published May 10, 2006• 3 citations

arXiv HTML PDF

Abstract

DOI: 10.48550/arxiv.cond-mat/0605266

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U

and hopping parameter

t

. At zero temperature, our theory describes the evolution from a Slater

(U⪡t)

to a Mott-Heisenberg

(U⪢t)

antiferromagnet. The results for zero-temperature sublatice magnetization (2D) and finite temperature (3D) phase diagram of the antiferromagnetic Hubbard model as a function of the crossover parameter

U∕t

are presented and the role of the spin Berry phase in the interaction driven crossover is analyzed.

U_c ~ 3 t_1

. Several aspects of the slave spin method, its gauge theory and various possible mean-field states associated with this approach have been discussed.

d

-density wave) normal states of the underdoped cuprates. We compare the estimated cyclotron mass with results from recent quantum oscillation experiments on ortho-II

\mathrm{Y}{\mathrm{Ba}}_{2}{\mathrm{Cu}}_{3}{\mathrm{O}}_{6.5}

by Doiron-Leyraud et al. [Nature (London) 447, 565 (2007)] which appear to find Fermi pockets in the magnetic field induced normal state. We comment on the relation of this normal ground state to Fermi arcs seen in photoemission experiments above

{T}_{c}

. This slave rotor mean-field theory can be generalized to study inhomogeneous states and strongly interacting models relevant to ultracold atoms in optical lattices.