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Related papers: Determinant quantum Monte Carlo for the half-fille…

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The ground state of the Hubbard model with nearest-neighbor hopping on the square lattice at half filling is known to be that of an antiferromagnetic (AFM) band insulator for any on-site repulsion. At finite temperature, the absence of…

Strongly Correlated Electrons · Physics 2020-02-04 Fedor Šimkovic , J. P. F. LeBlanc , Aaram J. Kim , Youjin Deng , N. V. Prokof'ev , B. V. Svistunov , Evgeny Kozik

Studies of systems with two fermionic bands with repulsive interaction strength U have a long history, with the Periodic Anderson Model (PAM) being one of the most frequently considered Hamiltonians. In this paper, we use Quantum Monte…

Strongly Correlated Electrons · Physics 2012-12-13 Aleksander Zujev , Richard T. Scalettar , George G. Batrouni , Pinaki Sengupta

The canonical one-band Hubbard model is studied using a computational method that mixes the Monte Carlo procedure with the mean field approximation. This technique allows us to incorporate thermal fluctuations and the development of…

Strongly Correlated Electrons · Physics 2014-11-25 Anamitra Mukherjee , Niravkumar D. Patel , Shuai Dong , Steve Johnston , Adriana Moreo , Elbio Dagotto

We study the square-lattice extended Hubbard model with on-site $U$ and nearest-neighbor $V$ interactions by exact diagonalization. We show that non-equilibrium quench dynamics can help determine the equilibrium phase transition boundaries,…

Superconductivity · Physics 2023-08-21 Wei-Chih Chen , Yao Wang , Cheng-Chien Chen

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…

Strongly Correlated Electrons · Physics 2009-11-10 Thereza Paiva , R. T. Scalettar , W. Zheng , R. R. P. Singh , J. Oitmaa

The sign problem is the fundamental limitation to quantum Monte Carlo simulations of the statistical mechanics of interacting fermions. Determinant quantum Monte Carlo (DQMC) is one of the leading methods to study lattice models such as the…

Strongly Correlated Electrons · Physics 2015-07-14 V. I. Iglovikov , E. Khatami , R. T. Scalettar

Here we discuss Quantum Monte Carlo results for the magnetic susceptibility, single-particle spectral weight and the irreducible particle-particle interaction vertex of the two-dimensional Hubbard model. In the doped system, as the…

Condensed Matter · Physics 2007-05-23 D. J. Scalapino

We present a quantum Monte Carlo method capable of sampling the full density matrix of a many-particle system at finite temperature. This allows arbitrary reduced density matrix elements and expectation values of complicated non-local…

Computational Physics · Physics 2015-06-15 N. S. Blunt , T. W. Rogers , J. S. Spencer , W. M. C. Foulkes

The microscopic mechanism of itinerant ferromagnetism is a long-standing problem due to the lack of non-perturbative methods to handle strong magnetic fluctuations of itinerant electrons. We have non-pertubatively studied thermodynamic…

Strongly Correlated Electrons · Physics 2018-03-01 Shenglong Xu , Yi Li , Congjun Wu

We employ the cluster slave-spin method to investigate systematically the ground state properties of the Hubbard model on a square lattice with doping $\delta$ and coupling strength $U$ being its parameters. In addition to a crossover…

Strongly Correlated Electrons · Physics 2021-10-01 Ming-Huan Zeng , Tianxing Ma , Y. -J. Wang

The Fermi sign structure plays a crucial role for a Landau's Fermi liquid. In this work, we identify the exact sign structure for the bipartite Hubbard model at an arbitrary strength of the on-site Coulomb repulsion $U$. This general sign…

Strongly Correlated Electrons · Physics 2014-10-17 Long Zhang , Zheng-Yu Weng

We address the calculation of dynamical correlation functions for many fermion systems at zero temperature, using the auxiliary-field quantum Monte Carlo method. The two-dimensional Hubbard hamiltonian is used as a model system. Although…

Strongly Correlated Electrons · Physics 2016-08-24 Ettore Vitali , Hao Shi , Mingpu Qin , Shiwei Zhang

The properties of a phase with large correlation length can be strongly influenced by the underlying normal phase. We illustrate this by studying the half-filled two-dimensional Hubbard model using cellular dynamical mean-field theory with…

Strongly Correlated Electrons · Physics 2017-06-14 L. Fratino , P. Sémon , M. Charlebois , G. Sordi , A. -M. S. Tremblay

Using an improved version of the projection quantum Monte Carlo technique, we study the square-lattice Hubbard model with nearest-neighbor hopping t and next-nearest-neighbor hopping t', by simulation of lattices with up to 20 X 20 sites.…

Condensed Matter · Physics 2009-10-28 R. Hlubina , S. Sorella , F. Guinea

We study the phase diagram of the one dimensional (1D) $U-V$ model at quarter filling in the most general case where the on-site and first-neighbour interactions $U$ and $V$ can be both attractive and repulsive. The results have been…

Condensed Matter · Physics 2009-10-22 Karlo Penc , Frederic Mila

The quantum Monte Carlo algorithm is arguably one of the most powerful computational many-body methods, enabling accurate calculation of many properties in interacting quantum systems. In the presence of the so-called sign problem, the…

Strongly Correlated Electrons · Physics 2018-02-23 Chia-Chen Chang , Miguel A. Morales

In this report we have analyzed a simple effective model for a description of magnetically ordered insulators. The Hamiltonian considered consists of the effective on-site interaction (U) and the intersite Ising-like magnetic exchange…

Strongly Correlated Electrons · Physics 2023-07-19 Szymon Murawski , Konrad Kapcia , Grzegorz Pawłowski , Stanisław Robaszkiewicz

We perform large scale projector determinant quantum Monte-Carlo simulations to study the insulating states of the half-filled SU(6) Hubbard model on the square lattice. The transition from the antiferromagnetic state to the valence bond…

Strongly Correlated Electrons · Physics 2019-09-30 Da Wang , Lei Wang , Congjun Wu

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…

Strongly Correlated Electrons · Physics 2007-05-23 N. E. Bickers , D. J. Scalapino

Fixed-node Green's function Monte Carlo calculations have been performed for very large 16x6 2D Hubbard lattices, large interaction strengths U=10,20, and 40, and many (15-20) densities between empty and half filling. The nodes were fixed…

Strongly Correlated Electrons · Physics 2009-10-31 A. C. Cosentini , M. Capone , L. Guidoni , G. B. Bachelet
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