Density Matrix Renormalization Group Study of a One Dimensional Three-Orbital Hubbard Model: The role of pair hopping and spin-flip interactions.

ORAL

Abstract

Using the Density Matrix Renormalization Group technique, we extensively study a three-orbital Hubbard model in one dimension without pair hopping and spin-flip Hund interactions. The phase diagram varying the electronic density $n$ and Hubbard $U$ is constructed and compared against previous results obtained using the full interaction Hamiltonian [1]. Our results suggest that spin-flip and pair hopping terms are not crucially important to address the orbital-selective Mott phase [1]. This analysis paves the way to study multiorbital Hubbard models using techniques such as the Constrained-Path Quantum Monte Carlo (CPQMC) and Determinant Quantum Monte Carlo (DQMC) methods since they perform better, reducing for instance the severity of the ``sign problem", in the absence of pair hopping and spin flip terms in the interaction.\\ [4pt] [1] Julian Rincon et al., \textit{Phys. Rev. Lett. \textbf{112}, 106405 (2014)}, Julian Rincon et al., \textit{Phys. Rev. B. \textbf{90}, 241105 (2014)}\\

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Authors

  • Nitin Kaushal

    Department of Physics and Astronomy, The University of Tennessee, Knoxville

  • Guangkun Liu

    Department of Physics and Astronomy, The University of Tennessee, Knoxville, Univ of Tennessee, Knoxville and Beijing Normal University

  • Chris Bishop

    Univ of Tennessee, Knoxville, Department of Physics and Astronomy, The University of Tennessee, Knoxville

  • Shuhua Liang

    Univ of Tennessee, Knoxville, Department of Physics and Astronomy, The University of Tennessee, Knoxville

  • Shaozhi Li

    Department of Physics and Astronomy, The University of Tennessee, Knoxville, Univ of Tennessee, Knoxville

  • Steven Johnston

    University of Tennessee, Department of Physics and Astronomy, University of Tennessee, Knoxville, USA, Department of Physics and Astronomy, The University of Tennessee, Knoxville, Univ of Tennessee, Knoxville

  • Elbio Dagotto

    The University of Tennessee, Knoxville, Tennessee 37996, USA, Univ of Tennessee, Knoxville, Department of Physics and Astronomy, The University of Tennessee, Knoxville and Oak Ridge National Laboratory