Finite temperature semimetal-insulator transition on the honeycomb lattice

Abstract

A semimetal-insulator transition in the Hubbard model on the honeycomb lattice is studied by using the dynamical mean field theory. Electrons in the honeycomb lattice resemble the Dirac electron liquid and for weak interactions the system is semimetal. With increasing the local interaction a semimetal-insulator transition occurs. We find a nonanalytical structure of the phase transition which consists of a first-order transition line ending in a second-order transition point and high-temperature crossover line. A phase separation of semimetal and insulator occurs at low temperatures. Maxwell construction is performed to determine the first order transition line. The phase diagram is also presented.

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Cited by in corpus (24)

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• The Hubbard model on the honeycomb lattice: from static and dynamical mean-field theories to lattice quantum Monte Carlo simulations
• Phase diagram and Fermi-liquid properties of the extended Hubbard model on the honeycomb lattice
• Antiferromagnetism in the Hubbard model on the honeycomb lattice: a Two-Particle Self-Consistent study
• Correlated Dirac Fermions on the Honeycomb Lattice studied within Cluster Dynamical Mean Field Theory
• Antiferromagnetic topological insulator state in the correlated Bernevig-Hughes-Zhang model
• Cluster dynamical mean field theory of quantum phases on a honeycomb lattice
• Multiband Dual Fermion Approach to Quantum Criticality in the Hubbard Honeycomb Lattice
• Disappearance of the Dirac cone in silicene due to the presence of an electric field
• Deconfinement of Mott Localized Electrons into Topological and Spin-Orbit Coupled Dirac Fermions
• Short range Coulomb correlations render massive Dirac fermions massless
• Correlation-driven phase transition in a Chern insulator
• Exact Diagonalization Study of 2D Hubbard Model on Honeycomb Lattice: Semi-metal-Insulator Transition
• Anomalous Spin Dynamics of Hubbard Model on Honeycomb Lattices
• Impact of magnetic dopants on magnetic and topological phases in magnetic topological insulators
• Strong coupling approach to Mott transition of massless and massive Dirac fermions on honeycomb lattice
• Phase diagram of the Hubbard model on a honeycomb lattice: A cluster slave-spin study
• Metal-Insulator Transition of Dirac Fermions: Variational Cluster Study
• Mott transition in the Hubbard model on anisotropic honeycomb lattice with implications for strained graphene: Gutzwiller variational study
• Quantum Phase transition in the two dimensional ionic-Hubbard model
• Real-Space Switching of Local Moments Driven by Quantum Geometry in Correlated Graphene Heterostructures