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We study the topological properties of an antiferromagnetic phase with reflection symmetry in three-dimensional heavy-fermion systems. We here propose a reflection-symmetric topological state in the three-dimensional antiferromagnetic phase…

Strongly Correlated Electrons · Physics 2020-04-22 Kazuhiro Kimura , Tsuneya Yoshida , Norio Kawakami

A spin-$\frac{1}{2}$ Kitaev sublattice interacting with a subsystem of spinless fermions is studied on a honeycomb lattice when the fermion band is half filled. The model Hamiltonian describes a topological Kondo lattice with the Kitaev…

Strongly Correlated Electrons · Physics 2015-04-08 Igor N. Karnaukhov , Igor O. Slieptsov

The magnetic properties of the t-t' Hubbard Model in the two dimensional square lattice are studied within an unrestricted Hartree-Fock approximation in real space. The interplay between antiferromagnetism, ferromagnetism, phase separation…

Strongly Correlated Electrons · Physics 2007-05-23 B. Valenzuela , M. A. H. Vozmediano , F. Guinea

We study the phase diagram of the extended Hubbard model on a two-dimensional square lattice, including on-site (U) and nearest-neighbor (V) interactions, at weak couplings. We show that the charge-density-wave phase that is known to occur…

Superconductivity · Physics 2013-08-14 Wen-Min Huang , Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

The celebrated antiferromagnetic phase transition was realized in a most recent optical lattice experiment for 3D fermionic Hubbard model [Shao {\it et al}., Nature {\bf 632}, 267 (2024)]. Despite the great achievement, it was observed that…

Strongly Correlated Electrons · Physics 2026-05-12 Yu-Feng Song , Youjin Deng , Yuan-Yao He

We discuss the paramagnetic and Neel-ordered phases of the Kondo lattice Hamiltonian on the 2D square lattice by means of bond Fermions. In the doped case we find two antiferromagnetic solutions, the first one with small ordered moment,…

Strongly Correlated Electrons · Physics 2016-05-04 R. Eder , K. Grube , P. Wrobel

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

Statistical Mechanics · Physics 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

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…

Strongly Correlated Electrons · Physics 2015-08-11 S. Arya , P. V. Sriluckshmy , S. R. Hassan , A. -M. S. Tremblay

The Hubbard model arises naturally when electron-electron interactions are added to the tight-binding descriptions of many condensed matter systems. For instance, the two-dimensional Hubbard model on the honeycomb lattice is central to the…

Strongly Correlated Electrons · Physics 2020-01-23 Jan-Lukas Wynen , Evan Berkowitz , Christopher Körber , Timo A. Lähde , Thomas Luu

We study Heisenberg antiferromagnets on a diamond-like decorated square lattice perturbed by further neighbor couplings. The second-order effective Hamiltonian is calculated and the resultant Hamiltonian is found to be a square-lattice…

Statistical Mechanics · Physics 2016-08-09 Yuhei Hirose , Akihide Oguchi , Yoshiyuki Fukumoto

We consider the extended Hubbard model on a two-dimensional square lattice at half-filling. The model is investigated using the strong coupling diagram technique. We sum infinite series of ladder diagrams allowing for full-scale charge and…

Strongly Correlated Electrons · Physics 2023-05-22 A. Sherman

By performing large-scale density-matrix renormalization group simulations, we investigate a one-dimensional correlated bosonic lattice model with a synthetic spin-orbit coupling realized in recent experiments. In the insulating regime,…

Strongly Correlated Electrons · Physics 2017-01-17 Jize Zhao , Shijie Hu , Ping Zhang

We make a systematic study of symmetry-protected topological gapped phases of quantum spin chains in the presence of the frieze space groups in one dimension using matrix product states. Here, the spatial symmetries of the one-dimensional…

Strongly Correlated Electrons · Physics 2023-03-29 Bram Vancraeynest-De Cuiper , Jacob C. Bridgeman , Nicolas Dewolf , Jutho Haegeman , Frank Verstraete

Spinless fermions on the honeycomb lattice with repulsive nearest-neighbor interactions are known to harbour a quantum critical point at half-filling, with critical behaviour in the Gross-Neveu (chiral Ising) universality class. The…

Strongly Correlated Electrons · Physics 2018-08-02 Stephan Hesselmann , Daniel D. Scherer , Michael M. Scherer , Stefan Wessel

Fermionic atoms in a large-scale, homogeneous optical lattice provide an ideal quantum simulator for investigating the fermionic Hubbard model, yet achieving this remains challenging. Here, by developing a hybrid potential that integrates a…

We propose a mixed-geometry system of fermionic species selectively confined in lattices of different geometry. We investigate how such asymmetry can lead to exotic multiband fermion pairing in an example system of honeycomb and triangular…

Quantum Gases · Physics 2013-01-30 Dong-Hee Kim , Joel S. J. Lehikoinen , Päivi Törmä

Ground state magnetic phase diagrams of the square and simple cubic lattices are investigated for the narrow band Hubbard model within the slave-boson approach by Kotliar and Ruckenstein. The transitions between saturated (half-metallic)…

Strongly Correlated Electrons · Physics 2018-05-09 M. A. Timirgazin , P. A. Igoshev , A. K. Arzhnikov , V. Yu. Irkhin

We characterize phases of the compass ladder model by using degenerate perturbation theory, symmetry fractionalization, and numerical techniques. Through degenerate perturbation theory we obtain an effective Hamiltonian for each phase of…

Strongly Correlated Electrons · Physics 2017-11-29 R. Haghshenas , A. Langari , A. T. Rezakhani

We formulate a model of relativistic fermions moving in two Euclidean dimensions based on a tight-binding model of graphene. The eigenvalue spectrum of the resulting Dirac operator is solved numerically in smooth U(1) gauge field…

High Energy Physics - Lattice · Physics 2010-04-15 Dipankar Chakrabarti , Simon Hands , Antonio Rago

We propose a Haldane-BCS-Hubbard model on a honeycomb lattice, which is composed of two copies of the Haldane model of the quantum anomalous Hall effect, an equal-spin pairing term and an onsite Hubbard interaction term. For any interaction…

Strongly Correlated Electrons · Physics 2019-06-28 Jian-Jian Miao , Dong-Hui Xu , Long Zhang , Fu-Chun Zhang