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Related papers: Mott transition from the non-analyticity of the on…

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Determining the ground state of multi-orbital Hubbard models is critical for understanding strongly correlated electron materials, yet existing methods struggle to simultaneously reach zero temperature and infinite system size. The…

Strongly Correlated Electrons · Physics 2023-11-08 Zhengqian Cheng , Chris A. Marianetti

The variational discrete action theory (VDAT) at \mathcal{N}=3 is a potent tool for accurately capturing Mott and Hund physics at zero temperature in d=\infty at a cost comparable to the Gutzwiller approximation, which is recovered by VDAT…

Strongly Correlated Electrons · Physics 2025-08-29 Zhengqian Cheng , Chris A. Marianetti

Here we propose the Variational Discrete Action Theory (VDAT) to study the ground state properties of quantum many-body Hamiltonians. VDAT is a variational theory based on the sequential product density matrix (SPD) ansatz, characterized by…

Strongly Correlated Electrons · Physics 2021-05-26 Zhengqian Cheng , Chris A. Marianetti

We present a new quantum molecular dynamics (MD) method where the electronic structure and atomic forces are solved by a real-space dynamical mean-field theory (DMFT). Contrary to most quantum MD methods that are based on effective…

Strongly Correlated Electrons · Physics 2022-08-19 Zhijie Fan , Gia-Wei Chern

The Mott transition in a multi-orbital Hubbard model involving subbands of different widths is studied within the dynamical mean field theory. Using the iterated perturbation theory for the quantum impurity problem it is shown that at low…

Strongly Correlated Electrons · Physics 2009-11-10 A. Liebsch

The recently developed variational discrete action theory (VDAT) provides a systematic variational approach to the ground state of the quantum many-body problem, where the quality of the solution is controlled by an integer $\mathcal{N}$,…

Strongly Correlated Electrons · Physics 2023-06-29 Zhengqian Cheng , Chris A. Marianetti

The anisotropic two-orbital Hubbard model is investigated at low temperatures using high-precision quantum Monte Carlo (QMC) simulations within dynamical mean-field theory (DMFT). We demonstrate that two distinct orbital-selective Mott…

Strongly Correlated Electrons · Physics 2015-06-25 N. Blümer , C. Knecht , K. Pozgajcic , P. G. J. van Dongen

We study the low energy behavior of the one dimensional Hubbard model across the Mott metal-insulator phase transition in an external magnetic field. In particular we calculate elements of the dressed charge matrix at the critical point of…

Strongly Correlated Electrons · Physics 2008-01-08 Holger Frahm , Temo Vekua

We study the dielectric response of correlated systems which undergo a Mott transition as a function of band filling within the dynamical mean field framework. We compute the dielectric figure of merit (DFOM), which is a measure of…

Strongly Correlated Electrons · Physics 2007-05-23 Luis Craco , Mukul S. Laad

We studied several aspects of the Mott metal-insulator transition in the disordered case. The model on which we based our analysis is the disordered Hubbard model, which is the simplest model capable of capturing the Mott metal-insulator…

Strongly Correlated Electrons · Physics 2020-07-01 M. Y. Suárez-Villagrán , N. Mitsakos , Tsung-Han Lee , V. Dobrosavljević , J. H. Miller, , E. Miranda

We investigate the Mott transition in a two-band Hubbard-Kanamori model using Dynamical Mean-Field Theory (DMFT) with the Density Matrix Renormalization Group (DMRG) and the Numerical Renormalization Group (NRG) as impurity solvers. Our…

Strongly Correlated Electrons · Physics 2025-10-06 Nayara G. Gusmão , Germán Blesio , Armando Aligia , Walber H. Brito , Maria C. O. Aguiar , Karen Hallberg

The anisotropic degenerate two-orbital Hubbard model is studied within dynamical mean-field theory at low temperatures. High-precision calculations on the basis of a refined quantum Monte Carlo (QMC) method reveal that two distinct…

Strongly Correlated Electrons · Physics 2007-05-23 C. Knecht , N. Blümer , P. G. J. van Dongen

The one-particle reduced density-matrix (1-RDM) functional theory is a promising alternative to density-functional theory (DFT) that uses the 1-RDM rather than the electronic density as a basic variable. However, long-standing challenges…

Quantum Physics · Physics 2024-08-20 Matthieu Vladaj , Quentin Marécat , Bruno Senjean , Matthieu Saubanère

We apply the density-matrix renormalization group (DMRG) method to a one-dimensional Hubbard model that lacks Umklapp scattering and thus provides an ideal case to study the Mott-Hubbard transition analytically and numerically. The model…

Strongly Correlated Electrons · Physics 2021-12-22 Florian Gebhard , Örs Legeza

One of today's most exciting research frontier and challenge in condensed matter physics is known as Mottronics, whose goal is to incorporate strong correlation effects into the realm of electronics. In fact, taming the Mott…

The physics of the Mott transition in the anodic region of NiO Resistance Random Access Memory (RRAM) is discussed from the Hubbard model. The Hubbard approximation is examined in details and it is shown that the Wannier functions in the…

Strongly Correlated Electrons · Physics 2010-07-01 Kan-Hao Xue , Carlos A. Paz de Araujo , Jolanta Celinska , Christopher McWilliams

We study the Mott metal-insulator transition in the two-band Hubbard model with different hopping amplitudes $t_1$ and $t_2$ for the two orbitals on the two-dimensional square lattice by using {\it non-magnetic} variational wave functions,…

Strongly Correlated Electrons · Physics 2016-02-18 Luca F. Tocchio , Federico Arrigoni , Sandro Sorella , Federico Becca

Reduced density-matrix functional theory (RDMFT) is a promising alternative approach to the problem of electron correlation. Like standard density functional theory, it contains an unknown exchange-correlation functional, for which several…

Chemical Physics · Physics 2017-03-03 N. N. Lathiotakis , Miguel A. L. Marques

Density functional theory (DFT), the most widely adopted method in modern computational chemistry, fails to describe accurately the electronic structure of strongly correlated systems. Here we show that DFT can be formally and practically…

Chemical Physics · Physics 2022-04-18 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

We analyze the nature of Mott metal-insulator transition in multiorbital systems using dynamical mean-field theory (DMFT). The auxiliary multiorbital quantum impurity problem is solved using continuous time quantum Monte Carlo (CTQMC) and…

Strongly Correlated Electrons · Physics 2017-02-22 Jorge I. Facio , V. Vildosola , D. J. García , Pablo S. Cornaglia
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