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The physical nature of doped Mott-insulator has been intensively studied for more than three decades. It is well known that the single band Hubbard model or $t$-$J$ model on the bipartite lattice is the simplest model to describe a doped…

Strongly Correlated Electrons · Physics 2023-01-09 Jian-Jian Miao , Zheng-Yuan Yue , Hao Zhang , Wei-Qiang Chen , Zheng-Cheng Gu

We study two types of models for the superconducting layered nitride $\beta$-MNCl(M=Hf,Zr); a single band model on a triangular lattice, and a two band model on a honeycomb lattice. We find that the former model does not suffice as an…

Superconductivity · Physics 2010-01-20 Kazuhiko Kuroki

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,…

Strongly Correlated Electrons · Physics 2015-03-13 Stephan Rachel , Karyn Le Hur

A half-filled-band Hubbard model on an anisotropic triangular lattice (t in two bond directions and t' in the other) is studied using an optimization variational Monte Carlo method, to consider the Mott transition and superconductivity…

Superconductivity · Physics 2009-11-11 Tsutomu Watanabe , Hisatoshi Yokoyama , Yukio Tanaka , Jun-ichiro Inoue

The ionic Hubbard model on a cubic lattice is investigated using analytical approximations and Wilson's renormalization group for the charge excitation spectrum. Near the Mott insulating regime, where the Hubbard repulsion starts to…

Strongly Correlated Electrons · Physics 2009-11-11 Torben Jabben , Norbert Grewe , Frithjof Anders

We study $d$-wave superconductivity(SC) in the Hubbard model on the isotropic triangular lattice described by the hopping parameter $t$ and on-site Coulomb repulsion $U$ at zero temperature and half-filling using the variational cluster…

Strongly Correlated Electrons · Physics 2025-03-25 A. Yamada

Motivated by the recently experimental reported signatures of the tunable Mott insulating state and superconductivity in an ABC graphene trilayer superlattice, we investigate the charge compressibility, the spin correlation, and the…

Strongly Correlated Electrons · Physics 2021-07-09 Huijia Dai , Junchen Hou , Xiao Zhang , Ying Liang , Tianxing Ma

We study the ground state of the doped Hubbard model on the honeycomb lattice in the small doping and strongly interacting region. The nature of the ground state by doping holes into the anti-ferromagnetic Mott insulating states on the…

Strongly Correlated Electrons · Physics 2022-06-28 Mingpu Qin

Inspired by recent discovery of correlated insulating states in twisted bilayer graphene (TBG), we study a two-orbital Hubbard model on the honeycomb lattice with two electrons per unit cell. Based on the real-space density matrix…

Strongly Correlated Electrons · Physics 2019-08-28 Zheng Zhu , D. N. Sheng , Liang Fu

Mechanisms of Mott transitions and dx2-y2-wave superconductivity (SC) are studied in the half-filled-band Hubbard model on square lattices with a diagonal hopping term (t'), using an optimization (or correlated) variational Monte Carlo…

Strongly Correlated Electrons · Physics 2009-11-11 Hisatoshi Yokoyama , Masao Ogata , Yukio Tanaka

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…

Strongly Correlated Electrons · Physics 2012-12-05 H-Y. Yang , A. F. Albuquerque , S. Capponi , A. M. Läuchli , K. P. Schmidt

We investigate the ionic Hubbard model (IHM) at half-filling in the limit of strong correlations and large ionic potential. The low energy effective Hamiltonian in this limit, obtained by a similarity transformation, is a modified $t-J$…

Strongly Correlated Electrons · Physics 2019-04-24 Anwesha Chattopadhyay , Soumen Bag , H. R. Krishnamurthy , Arti Garg

We study the possible superconducting pairing symmetry mediated by spin and charge fluctuations on the honeycomb lattice using the extended Hubbard model and the random-phase-approximation method. From $2\%$ to $20\%$ doping levels, a…

Superconductivity · Physics 2016-08-31 Long-Yun Xiao , Shun-Li Yu , Wei Wang , Zi-Jian Yao , Jian-Xin Li

We investigate the possibility of realizing unconventional superconductivity in doped band insulators on the square lattice and the honeycomb lattice, where the latter is found to be a good candidate due to the disconnectivity of the Fermi…

Superconductivity · Physics 2009-02-24 Kazuhiko Kuroki

We have performed large-scale density-matrix renormalization group studies of the lightly doped Hubbard model on the honeycomb lattice on long three and four-leg cylinders. We find that the ground state of the system upon lightly doping is…

Strongly Correlated Electrons · Physics 2023-03-23 Cheng Peng , D. N. Sheng , Hong-Chen Jiang

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…

Strongly Correlated Electrons · Physics 2017-02-24 Atsushi Yamada

We propose a two-orbital Hubbard model on an emergent honeycomb lattice to describe the low-energy physics of twisted bilayer graphene. Our model provides a theoretical basis for studying metal-insulator transition, Landau level degeneracy…

Strongly Correlated Electrons · Physics 2018-07-31 Noah F. Q. Yuan , Liang Fu

Effects of electron many-body interactions amplify in an electronic system with a narrow bandwidth opening a way to exotic physics. A narrow band in a two-dimensional (2D) honeycomb lattice is particularly intriguing as combined with Dirac…

Semiconductor surfaces with narrow surface bands provide unique playgrounds to search for Mott-insulating state. Recently, a combined experimental and theoretical study [Phys. Rev. Lett. 114, 247602 (2015)] of the two-dimensional (2D) Sn…

Materials Science · Physics 2016-01-18 Seho Yi , Hunpyo Lee , Jin-Ho Choi , Jun-Hyung Cho

We investigate the ground-state properties of the two-dimensional Hubbard model, based on the off-diagonal wave function variational Monte Carlo method. We use an optimized wave function that is improved from an initial one-body wave…

Strongly Correlated Electrons · Physics 2025-07-08 Takashi Yanagisawa
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