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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…

强关联电子 · 物理学 2009-11-11 Torben Jabben , Norbert Grewe , Frithjof Anders

Twenty-five years after the first proposal, the question whether the ground state of a frustrated spin-half system is well described by a spin-liquid Resonating Valence Bond (RVB) wave function is still controversial. A physically…

强关联电子 · 物理学 2007-05-23 Luca Capriotti , Federico Becca , Alberto Parola , Sandro Sorella

We extend the framework of Boltzmann machines to a network of complex-valued neurons with variable amplitudes, referred to as Complex Amplitude-Phase Boltzmann machine (CAP-BM). The model is capable of performing unsupervised learning on…

机器学习 · 统计学 2020-05-06 Zengyi Li , Friedrich T. Sommer

The Hubbard model and its strong-coupling version, the Heisenberg one, have been widely studied on the triangular lattice to capture the essential low-temperature properties of different materials. One example is given by transition metal…

强关联电子 · 物理学 2020-09-25 Luca F. Tocchio , Arianna Montorsi , Federico Becca

We initiate the study of neural-network quantum state algorithms for analyzing continuous-variable lattice quantum systems in first quantization. A simple family of continuous-variable trial wavefunctons is introduced which naturally…

量子物理 · 物理学 2021-07-16 James Stokes , Saibal De , Shravan Veerapaneni , Giuseppe Carleo

We study the single-band Hubbard model under the action of an external magnetic field using the cumulant Green's functions method (CGFM). The starting point of the method is to diagonalize a cluster containing N correlated sites (seed) and…

强关联电子 · 物理学 2023-04-12 Renan Lira , Peter Riseborough , Jereson Silva-Valencia , Marcos Figueira

Variational approaches are among the most powerful modern techniques to approximately solve quantum many-body problems. These encompass both variational states based on tensor or neural networks, and parameterized quantum circuits in…

强关联电子 · 物理学 2021-02-02 Kevin Zhang , Samuel Lederer , Kenny Choo , Titus Neupert , Giuseppe Carleo , Eun-Ah Kim

Employing a combination of functional renormalization group calculations and projective determinantal quantum Monte Carlo simulations, we examine the Hubbard model on the square lattice bilayer at half filling. From this combined analysis,…

强关联电子 · 物理学 2014-11-25 Michael Golor , Timo Reckling , Laura Classen , Michael M. Scherer , Stefan Wessel

We study the interplay between electron correlation and disorder in the two-dimensional Hubbard model at half-filling by means of a variational wave function that can interpolate between Anderson and Mott insulators. We give a detailed…

强关联电子 · 物理学 2015-05-13 Maria Elisabetta Pezzoli , Federico Becca

We explore the ground-state properties of the two-band Hubbard model with degenerate electronic bands, parametrized by nearest-neighbor hopping $t$, intra- and inter-orbital on-site Coulomb repulsions $U$ and $U^\prime$, and Hund coupling…

强关联电子 · 物理学 2018-08-30 Caterina De Franco , Luca F. Tocchio , Federico Becca

The $2d$ Hubbard model with nearest-neighbour hopping on the square lattice and an average of one electron per site is known to undergo an extended crossover from metallic to insulating behavior driven by proliferating antiferromagnetic…

强关联电子 · 物理学 2020-03-19 Aaram J. Kim , Fedor Simkovic , Evgeny Kozik

Here, we investigate the fractal-lattice Hubbard model using various numerical methods: exact diagonalization, the self-consistent diagonalization of a (mean-field) Hartree-Fock Hamiltonian and state-of-the-art Auxiliary-Field Quantum Monte…

强关联电子 · 物理学 2024-09-18 Monica Conte , Vinicius Zampronio , Malte Röntgen , Cristiane Morais Smith

Strongly correlated electron systems are generally described by tight binding lattice Hamiltonians with strong local (on site) interactions, the most popular being the Hubbard model. Although the half filled Hubbard model can be simulated…

强关联电子 · 物理学 2020-02-26 Zhenhao Fan , Zhipeng Sun , Dingping Li , Itzhak Berenstein , Guy Leshem , Baruch Rosenstein

In strongly correlated electron systems the constraint which prohibits the double electron occupation at local sites can be realized by either the infinite Coulomb interaction or the correlated hopping interaction described by the Hubbard…

强关联电子 · 物理学 2019-04-30 Xiao-Yong Feng , Jianhui Dai

We study the half filled extended Hubbard model on a two-dimensional square lattice using cluster dynamical mean field theory on clusters of size 8-20. We show that the model exhibits metallic, Mott insulating, and charge ordered phases,…

强关联电子 · 物理学 2017-04-28 Hanna Terletska , Tianran Chen , Emanuel Gull

We apply a variational method devised for the nuclear many--body problem to the 1-dimensional Hubbard--model with nearest neighbor hopping and periodic boundary conditions. The test wave function consist for each state out of a single…

强关联电子 · 物理学 2008-11-26 K. W. Schmid , T. Dahm , J. Margueron , H. Müther

The multiorbital Hubbard model is expressed in terms of quantum phase variables (``slave rotors'') conjugate to the local charge, and of auxiliary fermions, providing an economical representation of the Hilbert space of strongly correlated…

强关联电子 · 物理学 2009-11-10 Serge Florens , Antoine Georges

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

The Mott transition is a paradigmatic phenomenon where Coulomb interactions between electrons drive a metal-insulator phase transition. It is extensively studied within the Hubbard model, where a quantum critical transition occurs at a…

强关联电子 · 物理学 2025-10-20 Ankur Majumder , Sudeshna Sen

We investigate an extended version of the periodic Anderson model (the so-called periodic Anderson-Hubbard model) with the aim to understand the role of interaction between conduction electrons in the formation of the heavy-fermion and…

强关联电子 · 物理学 2013-05-30 I. Hagymasi , K. Itai , J. Solyom