Variational Monte Carlo approach to the two-dimensional Kondo lattice model

Abstract

We study the phase diagram of the Kondo-lattice model with nearest-neighbor hopping in the square lattice by means of the variational Monte Carlo technique. Specifically, we analyze a wide class of variational wave functions that allow magnetic and superconducting order parameters, so to assess the possibility that superconductivity might emerge close to the magnetic instability, as often observed in heavy fermion systems. Indeed, we do find evidence of d-wave superconductivity in the paramagnetic sector, i.e., when magnetic order is not allowed in the variational wave function. However, when magnetism is allowed, it completely covers the superconducting region, which thus disappears from the phase diagram.

arXiv comment7 pages and 9 figures

References in corpus (22)

• Locally critical quantum phase transitions in strongly correlated metals
• The break up of heavy electrons at a quantum critical point
• Onset of antiferromagnetism in heavy fermion metals
• How do Fermi liquids get heavy and die?
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Hall-effect evolution across a heavy-fermion quantum critical point
• Magnetic-Field Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Wave function optimization in the variational Monte Carlo method
• Superconductivity in the two-dimensional t-J model
• Destruction of Kondo effect in cubic heavy fermion compound Ce3Pd20Si6
• Quantum Monte Carlo simulations of the half-filled two-dimensional Kondo lattice model
• Spin and charge dynamics of the ferromagnetic and antiferromagnetic two-dimensional half-filled Kondo lattice model
• Fermi Surface Reconstruction without Breakdown of Kondo Screening at Quantum Critical Point
• Coexisting Kondo singlet state with antiferromagnetic long-range order: A possible ground state for Kondo insulators
• Fermi-surface evolution across the magnetic phase transition in the Kondo lattice model
• Zeeman-driven Lifshitz transition: A scenario for the Fermi-surface reconstruction in YbRh2Si2
• Fermi surface topology of the two-dimensional Kondo lattice model: a dynamical cluster approximation approach
• Field-induced Antiferromagnetism and the Kondo Insulator-to-Metal Transition
• Magnetism and superconductivity in the $t-t^{\prime }-J$ model
• Unconventional Superconductivity from Local Spin Fluctuations in the Kondo Lattice
• Cellular Dynamical Mean Field Theory of the Periodic Anderson Model
• Heavy antiferromagnetic phases in Kondo lattices

Cited by in corpus (29)

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• Large and Small Fermi-Surface Spin Density Waves in the Kondo Lattice Model
• Competing d-Wave and p-Wave Spin-Singlet Superconductivities in the Two-Dimensional Kondo Lattice
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• Correlation-driven multigap d-wave superconductivity in Anderson lattice model
• Gutzwiller Wave-Function Solution for Anderson Lattice Model: Emerging Universal Regimes of Heavy Quasiparticle States
• Disentangling quantum matter with measurements
• Spiral magnetic phases on the Kondo Lattice Model: A Hartree-Fock approach
• Competition of striped magnetic order and partial Kondo screened state in the Kondo lattice model
• Variational cluster approach to superconductivity and magnetism in the Kondo lattice model
• Phase evolution of the two-dimensional Kondo lattice model near half-filling
• Antiferromagnetic phase of the Kondo-insulator
• Antiferromagnetic Phases of the Kondo Lattice
• Altermagnetism in Heavy Fermion Systems: Mean-Field study on Kondo Lattice
• Many-body breakdown of indirect gap in topological Kondo insulators
• Frustrated quantum magnetism in the Kondo lattice on the zigzag ladder
• Ultrafast Optical Control of Magnetic Order and Fermi Surface Topology at a Quantum Critical Point
• A mean-field approach to Kondo-attractive-Hubbard model
• Phase diagram of Kondo-Heisenberg model on honeycomb lattice with geometrical frustration
• Quasiparticle Band Structure and Spin Excitation Spectrum of the Kondo Lattice
• Superconducting Kondo phase in an orbitally-separated bilayer
• Fermionology in the Kondo-Heisenberg model: the case of CeCoIn${}_5$
• Magnetism in f electron superlattices
• SU($\mathbf{N}$) Kondo-Heisenberg chain: Phase diagram, Ising criticality, and the coexistence of heavy quasiparticles and valence bond solid order
• Degenerate orbital effect in a three orbital periodic Anderson model
• Ferromagnetism in the one-dimensional Kondo lattice: mean-field approach via Majorana fermion canonical transformation
• Reentrant $s$-wave superconductivity in the periodic Anderson model with attractive conduction band Hubbard interaction
• Lifshitz Transition in Triangular Lattice Kondo-Heisenberg Model