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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…

强关联电子 · 物理学 2009-04-01 Minh-Tien Tran , Kazuhiko Kuroki

Quantum phase transitions in the Hubbard model on the honeycomb lattice are investigated in the variational cluster approximation. The critical interaction for the paramagnetic to antiferromagnetic phase transition is found to be in…

强关联电子 · 物理学 2012-09-11 K. Seki , Y. Ohta

The Hubbard model on the honeycomb lattice undergoes a quantum phase transition from a semimetallic to a Mott insulating phase and from a disordered to an anti-ferromagnetically phase. We show that these transitions occur simultaneously and…

强关联电子 · 物理学 2022-07-26 Johann Ostmeyer , Evan Berkowitz , Stefan Krieg , Timo A. Lähde , Thomas Luu , Carsten Urbach

We study the Hubbard model on the honeycomb lattice in the vicinity of the quantum critical point by means of a multiband formulation of the Dual Fermion approach. Beyond the strong local correlations of the dynamical mean field, critical…

强关联电子 · 物理学 2018-04-04 Daniel Hirschmeier , Hartmut Hafermann , Alexander I. Lichtenstein

We study the one-band Hubbard model on the honeycomb lattice using a combination of quantum Monte Carlo (QMC) simulations and static as well as dynamical mean-field theory (DMFT). This model is known to show a quantum phase transition…

We use the Kotliar-Ruckenstein slave boson technique to treat the strong correlation of the Hubbard model. In a first part we discuss the metal to insulator transition that is occurring on the honeycomb lattice at half filling. We find the…

凝聚态物理 · 物理学 2007-05-23 Raymond Fresard , Klaus Doll

We investigate the metal-insulator transition in the half-filled Hubbard model on a two-dimensional triangular lattice using both the Kotliar-Ruckenstein slave-boson technique, and exact numerical diagonalization of finite clusters.…

强关联电子 · 物理学 2007-08-07 Massimo Capone , Luca Capriotti , Federico Becca , Sergio Caprara

The semimetal to antiferromagnet quantum phase transition of the Hubbard model on the honeycomb lattice has come to the forefront in the context of the proposal that a semimetal to spin liquid transition can occur before the transition to…

强关联电子 · 物理学 2015-08-11 S. Arya , P. V. Sriluckshmy , S. R. Hassan , A. -M. S. Tremblay

We investigate ground state and finite temperature properties of the half-filled Hubbard model on a honeycomb lattice using quantum monte carlo and series expansion techniques. Unlike the square lattice, for which magnetic order exists at…

强关联电子 · 物理学 2009-11-10 Thereza Paiva , R. T. Scalettar , W. Zheng , R. R. P. Singh , J. Oitmaa

We study the attractive fermionic Hubbard model on a honeycomb lattice using determinantal quantum Monte Carlo simulations. By increasing the interaction strength U (relative to the hopping parameter t) at half-filling and zero temperature,…

量子气体 · 物理学 2009-12-24 K. L. Lee , K. Bouadim , G. G. Batrouni , F. Hebert , R. T. Scalettar , C. Miniatura , B. Gremaud

We study the effect of disorder on the semimetal -- Mott insulator transition in the half-filled repulsive Hubbard model on a honeycomb lattice, a system that features vanishing density of states at the Fermi level. Using the determinant…

强关联电子 · 物理学 2018-03-22 Tianxing Ma , Lufeng Zhang , Chia-Chen Chang , Hsiang-Hsuan Hung , Richard T. Scalettar

We investigate the ground-state and finite-temperature phase diagrams of the Bose-Hubbard model on a honeycomb superlattice. The interplay between the superlattice potential depth $\Delta/t$ and the onsite interaction $U/t$ gives rise to…

量子气体 · 物理学 2025-06-10 Wei-Wei Wang , Jin Yang , Jian-Ping Lv , Chao Zhang

Metal-insulator transitions in the paramagnetic phase of the two dimensional square lattice Hubbard model are studied using the dynamical cluster approximation with eight momentum cells. We show that both the interaction-driven and the…

强关联电子 · 物理学 2009-07-25 Philipp Werner , Emanuel Gull , Olivier Parcollet , Andrew J. Millis

Several studies have emphasized the impact of long-range Coulomb interactions in lattice fermions, yet conventional Auxiliary Field Quantum Monte Carlo (QMC) methods face limitations due to their reliance on positive definite interaction…

强关联电子 · 物理学 2024-12-09 Mohammad-Sadegh Vaezi , Davoud Nasr Esfahani

I present a pedagogical survey of a variety of quantum phases of the Hubbard model. The honeycomb lattice model has a conformal field theory connecting the semi-metal to the insulator with Neel order. States with fractionalized excitations…

高能物理 - 理论 · 物理学 2017-10-03 Subir Sachdev

We consider the 2D Hubbard model on the honeycomb lattice, as a model for a single layer graphene sheet in the presence of screened Coulomb interactions. At half filling and weak enough coupling, we compute the free energy, the ground state…

数学物理 · 物理学 2015-05-13 Alessandro Giuliani , Vieri Mastropietro

We investigate the phase diagram of spinless fermions with nearest and next-nearest neighbour density-density interactions on the honeycomb lattice at half-filling. Using Exact Diagonalization techniques of the full Hamiltonian and…

强关联电子 · 物理学 2015-08-28 Sylvain Capponi , Andreas M. Läuchli

In this paper we generalized the slave-particle technique to study the phase diagram of the Hubbard model on honeycomb lattice which may contain charge fluctuations. For large $U$, we have antiferromagnetic order phase. As we decrease $U$…

强关联电子 · 物理学 2010-10-28 Abolhassan Vaezi , Xiao-Gang Wen

Bilayer honeycomb lattice, with inter-layer tunneling energy, has a parabolic dispersion relation, which causes the charge imbalance between two sublattices. Here, we investigate the metal-insulator and magnetic phase transitions on the…

强关联电子 · 物理学 2014-01-20 Hong-Shuai Tao , Yao-Hua Chen , Heng-Fu Lin , Hai-Di Liu , Wu-Ming Liu

Recent numerical work (Nature 464, 847 (2010)) indicates the existence of a spin liquid phase (SL) that intervenes between the antiferromagnetic and semimetallic phases of the half filled Hubbard model on a honeycomb lattice. To better…

强关联电子 · 物理学 2011-08-18 B. K. Clark , D. A. Abanin , S. L. Sondhi
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