Fractionalized Fermi Liquid in a Kondo-Heisenberg Model

Abstract

The Kondo-Heisenberg model is used for a microscopic demonstration of existence of a peculiar metallic state with unbroken translational symmetry where the Fermi surface volume is not controlled by the total electron density. I use a non-perturbative approach where the strongest interactions are taken into account by means of exact solution, and corrections are controllable. In agreement with the general requirements formulated in (T. Senthil {\it et.al.} Phys. Rev. Lett. {\bf 90}, 216403 (2003)), the resulting metallic state represents a fractionalized Fermi liquid where well defined quasiparticles coexist with gapped fractionalized collective excitations. The system undergoes a phase transition to an ordered phase (charge density wave or superconducting), at the transition temperature which is parametrically small in comparison to the quasiparticle Fermi energy.

Phys. Rev. B 94, 165114 (2016), 12 pages, 3 figures

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• Necessary and Sufficient Conditions for the Validity of Luttinger's Theorem
• Two dimensional spin liquids with ${\mathbb{Z}}_2$ topological order in an array of quantum wires
• Chiral Spin Order in Kondo-Heisenberg systems
• Superconductor-Metal Transition in Odd-Frequency Paired Superconductor in Magnetic Field
• Topology and the one-dimensional Kondo-Heisenberg model
• How magnetic field can transform a superconductor into a Bose metal
• Singlet pairing and superconductivity in t-J ladders with Mott insulating stripes
• Odd frequency pairing in a quantum critical metal
• Electric and Magnetic Properties of Higher-Spin Kondo-Heisenberg Models at Strong Coupling
• Fractional Fermi liquid in a generalized $t-J$ model
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order
• Kondo breakdown transitions and phase-separation tendencies in valence-fluctuating heavy-fermion materials
• Universality classes of order parameters composed of many body bound states
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Two types of superconducting pairs in stripe-ordered La${}_{2-x}$Ba${}_x$CuO${}_4$ ($x=1/8$): evidence from the resistivity measurements
• Emergent Chiral Metal near a Kondo Breakdown Quantum Phase Transition