Hubbard Model

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Norio Kawakami - One of the best experts on this subject based on the ideXlab platform.

  • Spin density waves in the Hubbard Model: A DMFT approach
    Physical Review B, 2014
    Co-Authors: Robert Peters, Norio Kawakami
    Abstract:

    We analyze spin density waves (SDWs) in the Hubbard Model on a square lattice within the framework of inhomogeneous dynamical mean field theory (IDMFT). Doping the half-filled Hubbard Model results in a change of the antiferromagnetic N\'eel state, which exists exactly at half filling, to a phase of incommensurate SDWs. Previous studies of this phase mainly rely on static mean field calculations. In this paper, we will use large-scale IDMFT calculations to study properties of SDWs in the Hubbard Model. A great advantage of IDMFT over static mean field approaches is the inclusion of local screening effects and the easy access to dynamical correlation functions. Furthermore, this technique is not restricted to the Hubbard Model, but can be easily used to study incommensurate phases in various strongly correlated materials.

  • Finite-temperature Mott transitions in the multiorbital Hubbard Model
    Physical Review B, 2005
    Co-Authors: Kensuke Inaba, Akihisa Koga, Sei-ichiro Suga, Norio Kawakami
    Abstract:

    We investigate the Mott transitions in the multi-orbital Hubbard Model at half-filling by means of the self-energy functional approach. The phase diagrams are obtained at finite temperatures for the Hubbard Model with up to four-fold degenerate bands. We discuss how the first-order Mott transition points $U_{c1}$ and $U_{c2}$ as well as the critical temperature $T_c$ depend on the orbital degeneracy. It is elucidated that enhanced orbital fluctuations play a key role to control the Mott transitions in the multi-orbital Hubbard Model.

D. F. Wang - One of the best experts on this subject based on the ideXlab platform.

  • Exactly Solvable Extended Hubbard Model
    Physical Review B, 1996
    Co-Authors: D. F. Wang
    Abstract:

    In this work, we introduce long-range version of the extended Hubbard Model. The system is defined on a nonuniform lattice. We show that the system is integrable. The ground state, the ground state energy, and the energy spectrum are also found for the system. Another long-range version of the extended Hubbard Model is also introduced on a uniform lattice, and this system is proven to be integrable.

  • On chiral Hubbard Model at strong interaction
    arXiv: Condensed Matter, 1995
    Co-Authors: D. F. Wang
    Abstract:

    One dimensional chiral Hubbard Model reduces to the Haldane-Shastry spin chain at half-filling with large but finite on-site energy $U$.In this talk, we show that the Gutzwiller-Jastrow wavefunctions are the eigen-states of the Hubbard Model at $U=+\infty$ at less than half-filling. The full energy spectrum and an infinite set of mutually commuting constants of motion are also given in this limit for the system.

Ralf Bulla - One of the best experts on this subject based on the ideXlab platform.

  • Phase diagram of the frustrated Hubbard Model
    Physical Review Letters, 2004
    Co-Authors: Robert Zitzler, Ning-hua Tong, Thomas Pruschke, Ralf Bulla
    Abstract:

    The Mott-Hubbard metal-insulator transition in the paramagnetic phase of the one-band Hubbard Model has long been used to describe similar features in real materials like V$_2$O$_3$. Here we show that this transition is hidden inside a rather robust antiferromagnetic insulator even in the presence of comparatively strong magnetic frustration. This result raises the question of the relevance of the Mott-Hubbard metal-insulator transition for the generic phase diagram of the one-band Hubbard Model.

Thomas P. Devereaux - One of the best experts on this subject based on the ideXlab platform.

  • strange metallicity in the doped Hubbard Model
    Science, 2019
    Co-Authors: Edwin W. Huang, Brian Moritz, Thomas P. Devereaux, Ryan Sheppard
    Abstract:

    Strange or bad metallic transport, defined by incompatibility with the conventional quasiparticle picture, is a theme common to many strongly correlated materials, including high-temperature superconductors. The Hubbard Model represents a minimal starting point for Modeling strongly correlated systems. Here we demonstrate strange metallic transport in the doped two-dimensional Hubbard Model using determinantal quantum Monte Carlo calculations. Over a wide range of doping, we observe resistivities exceeding the Mott-Ioffe-Regel limit with linear temperature dependence. The temperatures of our calculations extend to as low as 1/40 of the noninteracting bandwidth, placing our findings in the degenerate regime relevant to experimental observations of strange metallicity. Our results provide a foundation for connecting theories of strange metals to Models of strongly correlated materials.

  • strange metallicity in the doped Hubbard Model
    arXiv: Strongly Correlated Electrons, 2018
    Co-Authors: Edwin W. Huang, Brian Moritz, Thomas P. Devereaux, Ryan Sheppard
    Abstract:

    Strange or bad metallic transport, defined by its incompatibility with conventional quasiparticle pictures, is a theme common to strongly correlated materials and ubiquitous in many high temperature superconductors. The Hubbard Model represents a minimal starting point for Modeling strongly correlated systems. Here we demonstrate strange metallic transport in the doped two-dimensional Hubbard Model using determinantal quantum Monte Carlo calculations. Over a wide range of doping, we observe resistivities exceeding the Mott-Ioffe-Regel limit with linear temperature dependence. The temperatures of our calculations extend to as low as 1/40 the non-interacting bandwidth, placing our findings in the degenerate regime relevant to experimental observations of strange metallicity. Our results provide a foundation for connecting theories of strange metals to Models of strongly correlated materials.

  • Stripe order from the perspective of the Hubbard Model
    npj Quantum Materials, 2018
    Co-Authors: Edwin W. Huang, Christian B. Mendl, Hong-chen Jiang, Brian Moritz, Thomas P. Devereaux
    Abstract:

    A microscopic understanding of the strongly correlated physics of the cuprates must account for the translational and rotational symmetry breaking that is present across all cuprate families, commonly in the form of stripes. Here we investigate emergence of stripes in the Hubbard Model, a minimal Model believed to be relevant to the cuprate superconductors, using determinant quantum Monte Carlo (DQMC) simulations at finite temperatures and density matrix renormalization group (DMRG) ground state calculations. By varying temperature, doping, and Model parameters, we characterize the extent of stripes throughout the phase diagram of the Hubbard Model. Our results show that including the often neglected next-nearest-neighbor hopping leads to the absence of spin incommensurability upon electron-doping and nearly half-filled stripes upon hole-doping. The similarities of these findings to experimental results on both electron and hole-doped cuprate families support a unified description across a large portion of the cuprate phase diagram. The phase diagram of the Hubbard Model is studied numerically by varying parameters and suggests that spin stripe order can be observable at accessible temperatures. A team led by Thomas P. Devereaux from Stanford University and colleagues from SLAC National Accelerator Laboratory and University of North Dakota investigate emergence of spin stripe orders in the Hubbard Model by tuning various parameters in the determinant quantum Monte Carlo simulations and the density matrix renormalization group calculations. They show that including the next-nearest-neighbor hopping term, which was often neglected in previous studies, in the Hubbard Model leads to nearly half-filled spin stripes upon hole-doping, while no stripes upon electron-doping. The consistence of these findings with experimental results on both electron and hole-doped cuprate superconductors supports a unified description across a large portion of the cuprate phase diagram.

Andreas Buchleitner - One of the best experts on this subject based on the ideXlab platform.

  • Quantum Chaos in the Bose-Hubbard Model
    Europhysics Letters (EPL), 2004
    Co-Authors: Andrey R. Kolovsky, Andreas Buchleitner
    Abstract:

    We present a numerical study of the spectral properties of the 1D Bose-Hubbard Model. Unlike the 1D Hubbard Model for fermions, this system is found to be non-integrable, and exhibits Wigner-Dyson spectral statistics under suitable conditions.