U(1) Gauge Theory of the Hubbard Model: Spin Liquid States and Possible Application toκ−(BEDT−TTF)2Cu2(CN)3

2005/02/10 by Sung-Sik Lee, Patrick A. Lee · 9 citations
Materials Science · Physics and Astronomy · #Magnetism in coordination complexes #Organic and Molecular Conductors Research #Physics of Superconductivity and Magnetism #cond-mat.str-el

paper · pdf · doi:10.1103/physrevlett.95.036403

published as Phys. Rev. Lett. 95, 036403 (2005) · 5 pages, 2 figures; paper shortened and the phase diagram of anisotropic triangular lattice corrected

arxiv created 2005/02/10 · openalex publication_date 2005/07/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We formulate a U(1) gauge theory of the Hubbard model in the slave-rotor representation. From this formalism it is argued that spin liquid phases may exist near the Mott transition in the Hubbard model on triangular and honeycomb lattices at half filling. The organic compound \ensuremathκ\mathrm\text\ensuremath-(BEDT\mathrm\text\ensuremath-TTF)₂Cu₂(CN)₃ is a good candidate for the spin liquid state on a triangular lattice. We predict a highly unusual temperature dependence for the thermal conductivity of this material.

Citations

• Stability ofU(1)spin liquids in two dimensions
• Spin correlations in the algebraic spin liquid: Implications for high-Tcsuperconductors
• On the ground state properties of the anisotropic triangular antiferromagnet
• Equivalence of the resonating-valence-bond and fractional quantum Hall states
• Nonmagnetic Insulating States near the Mott Transitions on Lattices with Geometrical Frustration and Implications for κ-(ET)2Cu2(CN)3

Cited by

• Emergent U(1) gauge theory with fractionalized boson/fermion from the Bose condensation of excitons in a multiband insulator
• Z2spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice
• Theory of a continuous Mott transition in two dimensions
• Low-energy behavior of spin-liquid electron spectral functions
• Spin Dynamics of the Spin-1/2Kagome Lattice AntiferromagnetZnCu3(OH)6Cl2
• Z2-slave-spin theory for strongly correlated fermions
• Effects of Zeeman field on a spin Bose-metal phase
• Mott Transition and Phase Diagram of κ-(BEDT-TTF)2Cu(NCS)2Studied by Two-Dimensional Model Derived fromAb initioMethod
• Critical Fermi surfaces and non-Fermi liquid metals