Hubbard chains network on corner-sharing tetrahedra: origin of the heavy fermion state in LiV_2O_4

Abstract

We investigate the Hubbard chains network model defined on corner-sharing tetrahedra (the pyrochlore lattice) which is a possible microscopic model for the heavy fermion state of LiV_2O_4. Based upon this model, we can explain transport, magnetic, and thermodynamic properties of LiV_2O_4. We calculate the spin susceptibility, and the specific heat coefficient, exploiting the Bethe ansatz exact solution of the 1D Hubbard model and bosonization method. The results are quite consistent with experimental observations. We obtain the large specific heat coefficient $\gamma \sim 222mJ/mol{\mathrm{K}}^2$.

5 pages, 2 figures, a postscript file of Figure 1 is not included, to appear in Physical Review B

References in corpus (3)

• Spin fluctuations in a magnetically frustrated metal, LiV2O4
• On the origin of heavy quasiparticles in LiV_2O_4
• Mott transition and heavy fermion state in the pyrochlore Hubbard model

Cited by in corpus (19)

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• Doped Mott insulator as the origin of heavy Fermion behavior in LiV2O4
• Spin-Orbital Fluctuations and a large mass enhancement in LiV_2O_4
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• Orbital state and magnetic properties of LiV_2 O_4
• Metal-to-Insulator Transition, Spin Gap Generation, and Charge Ordering in Geometrically Frustrated Electron Systems
• Spin-orbit fluctuations in frustrated heavy-fermion metal LiV${}_2$O${}_4$
• Mott Transition in the Hubbard Model on Checkerboard Lattice
• Effective Hamiltonian of Three-orbital Hubbard Model on Pyrochlore Lattice: Application to LiV_2O_4
• Systematic Analysis of Frustration Effects in Anisotropic Checkerboard Lattice Hubbard Model
• Staggered magnetism in LiV${}_2$O${}_4$ at low temperatures probed by the muon Knight shift
• Spin-fluctuations in the quarter-filled Hubbard ring : significances to LiV${}_2$O${}_4$
• Ab initio study on heavy-fermion behavior in LiV${}_2$O${}_4$: Role of Hund's coupling and stability
• Self-consistent renormalization theory of spin fluctuations in paramagnetic spinel LiV2O4
• Quasi-one-dimensional spin dynamics in LiV2O4: 1D-to-3D crossover as a possible origin of heavy fermion state
• Electronic properties of disordered corner-sharing tetrahedral lattices
• Quasi-One-Dimensional Spin Dynamics in $d$-Electron Heavy-Fermion Metal Y${}_{1-x}$Sc${}_x$Mn${}_2$
• Epitaxial growth and scanning tunneling microscopy of LiV${}_2$O${}_4$ thin films on SrTiO${}_3$(111)
• Quest for the Origin of Heavy Fermion Behavior in $d$-Electron Systems