Geometrical frustration induced (semi-)metal to insulator transition

Abstract

We study the low-energy properties of the geometrically frustrated Hubbard model on a three-dimensional pyrochlore lattice and a two-dimensional checkerboard lattice on the basis of the renormalization group method and mean field analysis. It is found that in the half-filling case, a (semi-)metal to insulator transition (MIT) occurs. Also, in the insulating phase, which has a spin gap, the spin rotational symmetry is not broken, while charge ordering exists. The results are applied to the description of the MIT observed in the pyrochlore system $\mathrm{T}{\mathrm{l}}_2\mathrm{R}{\mathrm{u}}_2{\mathrm{O}}_7$.

4 pages, 5 figures

References in corpus (5)

• Metal-Nonmetal Changeover in Pyrochlore Iridates
• Antiferromagnetic Quantum Spins on the Pyrochlore Lattice
• Quantum disorder in the two-dimensional pyrochlore Heisenberg antiferromagnet
• Spinons in a Crossed-Chains Model of a 2D Spin Liquid
• Mott transition and heavy fermion state in the pyrochlore Hubbard model

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• Bond order wave instabilities in doped frustrated antiferromagnets: "Valence bond solids" at fractional filling
• Optical investigations on $Y_{2-x}B{i}_{x}R{u}_2{O}_7$: Electronic structure evolutions related to the metal-insulator transition
• Mott Transition in the Hubbard Model on Checkerboard Lattice
• Low-energy properties of two-dimensional quantum triangular antiferromagnets: Non-perturbative renormalization group approach
• Magnetism in La2O3(Fe1-xMnx)2Se2 tuned by Fe/Mn ratio
• Dimensional Reduction and Odd-Frequency Pairing of the Checkerboard-Lattice Hubbard Model at 1/4-Filling
• Systematic Analysis of Frustration Effects in Anisotropic Checkerboard Lattice Hubbard Model
• Metal-insulator transition in the quarter- filled frustrated checkerboard lattice
• Unconventional Superconducting Symmetry in a Checkerboard Antiferromagnet
• Electronic properties of disordered corner-sharing tetrahedral lattices
• Strong ferromagnetic fluctuations in a doped checkerboard lattice
• Competition between $d$-wave and $d$+$is$-wave superconductivity in the Hubbard model on a checkerboard lattice
• Magnetic fluctuations near the Van Hove singularity in the kagome-lattice Hubbard model at finite doping