Transitions from small to large Fermi momenta in a one-dimensional Kondo lattice model

Abstract

We study a one-dimensional system that consists of an electron gas coupled to a spin-1/2 chain by Kondo interaction away from half-filling. We show that zero-temperature transitions between phases with "small" and "large" Fermi momenta can be continuous. Such a continuous but Fermi-momentum-changing transition arises in the presence of spin anisotropy, from a Luttinger liquid with a small Fermi momentum to a Kondo-dimer phase with a large Fermi momentum. We have also added a frustrating next-nearest-neighbor interaction in the spin chain to show the possibility of a similar Fermi-momentum-changing transition, between the Kondo phase and a spin-Peierls phase, in the spin isotropic case. This transition, however, appears to involve a region in which the two phases coexist.

arXiv commentThe updated version clarifies the definitions of small and large Fermi momenta, the role of anisotropy, and how Kondo interaction affects Luttinger liquid phase. 12 pages, 5 figures

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• Quantum phase transitions, frustration, and the Fermi surface in the Kondo lattice model
• Quantum critical metals and loss of quasiparticles
• Symmetry-protected topological phase transition in one-dimensional Kondo lattice and its realization with ultracold atoms
• Correlation exponent K_rho of the one-dimensional Kondo lattice model
• Topological defects of Néel order and Kondo singlet formation for Kondo-Heisenberg model on a honeycomb lattice
• Effects of Berry phase and instantons in one dimensional Kondo-Heisenberg model
• Pair density wave, unconventional superconductivity, and non-Fermi liquid quantum critical phase in frustrated Kondo lattice
• Fractionalized Fermi liquids and the cuprate phase diagram
• Fractional Fermi liquid in a generalized $t-J$ model
• Flow equations for the one-dimensional Kondo lattice model: Static and dynamic ground state properties