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.

References in corpus (3)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Cluster Dynamical Mean Field Theory of the Mott Transition

Cited by in corpus (7)

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• Disappearance of the Dirac cone in silicene due to the presence of an electric field
• Exact Diagonalization Study of 2D Hubbard Model on Honeycomb Lattice: Semi-metal-Insulator Transition
• 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
• Real-Space Switching of Local Moments Driven by Quantum Geometry in Correlated Graphene Heterostructures