Exactly Solvable Kondo Lattice Model in Anisotropic Limit

Abstract

In this paper we introduce an exactly solvable Kondo lattice model without any fine-tuning local gauge symmetry. This model describes itinerant electrons interplaying with a localized magnetic moment via only longitudinal Kondo exchange. Its solvability results from conservation of the localized moment at each site, and is valid for arbitrary lattice geometry and electron filling. A case study on square lattice shows that the ground state is a Néel antiferromagnetic insulator at half-filling. At finite temperature, paramagnetic phases including a Mott insulator and correlated metal are found. The former is a melting antiferromagnetic insulator with a strong short-range magnetic fluctuation, while the latter corresponds to a Fermi liquid-like metal. Monte Carlo simulation and theoretical analysis demonstrate that the transition from paramagnetic phases into the antiferromagnetic insulator is a continuous $2D$ Ising transition. Away from half-filling, patterns of spin stripes (inhomogeneous magnetic order) at weak coupling, and phase separation at strong coupling are predicted. With established Ising antiferromagnetism and spin stripe orders, our model may be relevant to a heavy fermion compound CeCo(In${}_{1-x}$Hg${}_x$)${}_5$ and novel quantum liquid-crystal order in a hidden order compound URu${}_2$Si${}_2$.

arXiv comment5+5pages, 7+2 figures, updated according to the published version and some typos are fixed

References in corpus (27)

• Fault-tolerant quantum computation by anyons
• Anyons in an exactly solved model and beyond
• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Quantum Spin Liquid States
• A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations
• Colloquium: Hidden Order, Superconductivity, and Magnetism -- The Unsolved Case of URu2Si2
• Variational cluster approach to correlated electron systems in low dimensions
• Rotational Symmetry Breaking in the Hidden-Order Phase of URu2Si2
• Frustration and the Kondo effect in heavy fermion materials
• Quantum Monte Carlo simulations of the half-filled two-dimensional Kondo lattice model
• Orthogonal Metals: The simplest non-Fermi liquids
• Quantum phase transitions in heavy fermion metals and Kondo insulators
• Dynamical Localization in ${\mathbb{Z}}_2$ Lattice Gauge Theories
• Thermodynamics of the two-dimensional Falicov-Kimball model: a classical Monte Carlo study
• Simple ${\mathbb{Z}}_2$ lattice gauge theories at finite fermion density
• Interaction-tuned Anderson versus Mott localization
• The Ising-Kondo lattice with transverse field: an f-moment Hamiltonian for URu2Si2?
• An exactly solvable BCS-Hubbard Model in arbitrary dimensions
• Fractionalized Metal in a Falicov-Kimball Model
• From Ising resonant fluctuations to static uniaxial order in antiferromagnetic and weakly superconducting CeCo(In${}_{1-x}$Hg${}_x$)${}_5$ ($x$=0.01)
• Non-Fermi glasses: fractionalizing electrons at finite energy density
• Correlated metallic state in honeycomb lattice: Orthogonal Dirac semimetal
• Spiral magnetic phases on the Kondo Lattice Model: A Hartree-Fock approach
• $Z_2$ fractionalized Chern/topological insulators in an exactly soluble correlated model
• Competition of striped magnetic order and partial Kondo screened state in the Kondo lattice model
• Topological antiferromagnetic spin-density-wave phase in an extended Kondo lattice model

Cited by in corpus (9)

• Mutual information, quantum phase transition, and phase coherence in Kondo systems
• Friedel oscillation in non-Fermi liquid: Lesson from exactly solvable Hatsugai-Kohmoto model
• Development of long-range phase coherence on the Kondo lattice
• Altermagnetism in Heavy Fermion Systems: Mean-Field study on Kondo Lattice
• Hexagon Ising-Kondo lattice: An implication for intrinsic antiferromagnetic topological insulator
• Electron liquid state in the symmetric Anderson lattice
• Electron liquid state in the spin-1/2 anisotropic Kondo lattice
• Hidden Anderson Localization in Disorder-Free Ising-Kondo Lattice
• Bosonic Peierls state emerging from the one-dimensional Ising-Kondo interaction