Finite temperature semimetal-insulator transition on the honeycomb lattice

Details Finite temperature semimetal-insulator transition on the honeycomb lattice Finite temperature semimetal-insulator transition on the honeycomb lattice

2009-03-17

arxiv.org/abs/0903.2938v1

Phys. Rev. B 79, 125125 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

Scientific paper

10.1103/PhysRevB.79.125125

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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