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We investigate the Hubbard model on the honeycomb lattice with intrinsic spin orbit interactions as a paradigm for two-dimensional topological band insulators in the presence of interactions. Applying a combination of Hartree-Fock theory,…

强关联电子 · 物理学 2015-03-13 Stephan Rachel , Karyn Le Hur

The possible emergence of a spin liquid phase in the half-filled Hubbard model on the honeycomb lattice; a simple model of graphene, is studied using the variational cluster approximation. We found that the critical interaction strength of…

强关联电子 · 物理学 2017-02-24 Atsushi Yamada

Motivated by the recent discovery of a spin liquid phase for the Hubbard model on the honeycomb lattice at half-filling, we apply both perturbative and non-perturbative techniques to derive effective spin Hamiltonians describing the…

强关联电子 · 物理学 2012-12-05 H-Y. Yang , A. F. Albuquerque , S. Capponi , A. M. Läuchli , K. P. Schmidt

The extended Hubbard model with an attractive density-density interaction, positive pair hopping, or both, is shown to host topological phases, with a doubly degenerate entanglement spectrum and interacting edge spins. This constitutes a…

强关联电子 · 物理学 2020-08-11 Roman Rausch , Matthias Peschke

We consider extended Hubbard models with repulsive interactions on a Honeycomb lattice and the transitions from the semi-metal phase at half-filling to Mott insulating phases. In particular, due to the frustrating nature of the…

介观与纳米尺度物理 · 物理学 2009-11-13 S. Raghu , Xiao-Liang Qi , C. Honerkamp , Shou-Cheng Zhang

Motivated by the recent atomic-scale scanning tunneling microscope (STM) observation for a spatially localized in-gap state in an electron doped Mott insulator, we evaluate the local electronic state of the Hubbard model on the square…

强关联电子 · 物理学 2014-12-10 Weng-Hang Leong , Shun-Li Yu , T. Xiang , Jian-Xin Li

We provide a self-consistent mean-field framework to study the effect of strong interactions in a quantum spin Hall insulator on the honeycomb lattice. We identify an exotic phase for large spin-orbit coupling and intermediate Hubbard…

强关联电子 · 物理学 2012-01-26 Andreas Rüegg , Gregory A. Fiete

We consider the Kane-Mele-Hubbard model with a magnetic $\pi$ flux threading each honeycomb plaquette. The resulting model has remarkably rich physical properties. In each spin sector, the noninteracting band structure is characterized by a…

强关联电子 · 物理学 2014-08-26 Martin Bercx , Martin Hohenadler , Fakher F. Assaad

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

We examine the effects of quantum fluctuations on a classical spin liquid state in the fully-frustrated honeycomb lattice Bose Hubbard model using quantum Monte Carlo simulations. Frustration is induced explicitly in the model by modulating…

强关联电子 · 物理学 2011-05-24 Stephen Inglis , Roger G. Melko

We study topology in gapless phases of an interacting spinful model with spin-charge separation. We focus on the gapless boundaries between $\mathbb{Z}_2$ symmetry-breaking phases. We find two topologically non-trivial gapless states that…

强关联电子 · 物理学 2026-03-27 Polina Matveeva , Dmitri Gutman , Sam T. Carr

We investigate the ground-state phase diagram of the spinless Haldane-Hubbard model in the presence of quenched disorder, contrasting results obtained from both exact diagonalization as well as density matrix renormalization group, applied…

强关联电子 · 物理学 2021-11-23 Tian-Cheng Yi , Shijie Hu , Eduardo V. Castro , Rubem Mondaini

We describe a new microscopic approach for analyzing interacting electron systems with local moments or, in principle, any local order parameter. We specialize attention to the doped Mott insulator phase of the Hubbard model, where standard…

强关联电子 · 物理学 2007-05-23 N. E. Bickers , D. J. Scalapino

We study spontaneous symmetry breaking in a system of spinless fermions in the Honeycomb lattice paying special emphasis to the role of an enlarged unit cell on time reversal symmetry broken phases. We use a tight binding model with nearest…

Phase transitions in the Hubbard model and ionic Hubbard model at half-filling on the honeycomb lattice are investigated in the strong coupling perturbation theory which corresponds to an expansion in powers of the hopping $t$ around the…

强关联电子 · 物理学 2016-02-12 E. Adibi , S. A. Jafari

We investigate ground state properties of the half-filled staggered-flux Hubbard model on a square lattice. Energy gaps to charge and spin excitations and magnetic as well as dimer orders are calculated as a function of interaction strength…

强关联电子 · 物理学 2015-06-04 Chia-Chen Chang , Richard T. Scalettar

The question of the existence of a spin liquid state in the half-filled Hubbard model on the honeycomb (aka graphene) lattice is revisited. The Variational Cluster Approximation (VCA), the Cluster Dynamical Mean Field Theory (CDMFT) and the…

强关联电子 · 物理学 2015-06-12 S. R. Hassan , David Sénéchal

We propose a new correlated topological state which we call a higher-order topological Mott insulator (HOTMI). This state exhibits a striking bulk-boundary correspondence due to electron correlations. Namely, the topological properties in…

强关联电子 · 物理学 2019-11-13 Koji Kudo , Tsuneya Yoshida , Yasuhiro Hatsugai

In this paper, we investigate the topological Hubbard model - the spinful Haldane model with on-site interaction on honeycomb lattice with spin rotation symmetry by using slave-rotor approach and find that chiral spin liquid exists in such…

强关联电子 · 物理学 2015-05-20 Jing He , Su-Peng Kou , Ying Liang , Shiping Feng

We study the spinless and spinful extended Hubbard models with repulsive interactions on the kagome and the decorated honeycomb ("star") lattice. Using Hartree-Fock mean-field theory, we show that interaction-driven insulating phases with…

强关联电子 · 物理学 2010-08-16 Jun Wen , Andreas Rüegg , C. -C. Joseph Wang , Gregory A. Fiete
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