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Two very different methods -- exact diagonalization on finite chains and a variational method -- are used to study the possibility of a metal-insulator transition in the symmetric half-filled periodic Anderson-Hubbard model. With this aim…

Strongly Correlated Electrons · Physics 2015-06-05 I. Hagymasi , K. Itai , J. Solyom

We investigate the ground-state phase diagram of the one-dimensional "ionic" Hubbard model with an alternating periodic potential at half-filling by numerical diagonalization of finite systems with the Lanczos and density matrix…

Strongly Correlated Electrons · Physics 2009-11-10 A. P. Kampf , M. Sekania , G. I. Japaridze , Ph. Brune

Ground state properties of the Hubbard model on a two-dimensional square lattice are studied by the auxiliary-field quantum Monte Carlo method. Accurate results for energy, double occupancy, effective hopping, magnetization, and momentum…

Strongly Correlated Electrons · Physics 2016-08-10 Mingpu Qin , Hao Shi , Shiwei Zhang

We calculate the density of states in the half-filled Hubbard model on a Bethe lattice with infinite connectivity. Based on our analytical results to second order in $t/U$, we propose a new `Fixed-Energy Exact Diagonalization' scheme for…

Strongly Correlated Electrons · Physics 2009-11-10 Michael P. Eastwood , Florian Gebhard , Eva Kalinowski , Satoshi Nishimoto , Reinhard M. Noack

We expose the relevance of double occupancy conservation symmetry in application of the Hubbard-I approach to strongly correlated electron systems. We propose the utility of a composite method, viz. the Hubbard-I method in conjunction with…

Strongly Correlated Electrons · Physics 2013-01-10 Przemyslaw R. Grzybowski , Ravindra W. Chhajlany

We study Mott transition in the two-dimensional Hubbard model on an anisotropic triangular lattice. We use the Lanczos exact diagonalization of finite-size clusters up to eighteen sites, and calculate Drude weight, charge gap, double…

Strongly Correlated Electrons · Physics 2007-07-17 Takashi Koretsune , Yukitoshi Motome , Akira Furusaki

We investigate the ground-state properties of the one-dimensional two-band Hubbard model with different bandwidths. The density-matrix renormalization group method is applied to calculate the averaged electron occupancies $n$ as a function…

Strongly Correlated Electrons · Physics 2009-11-13 S. Miyashita , Y. Yamashita , K. Yonemitsu , A. Koga , N. Kawakami

We use Brueckner-Goldstone perturbation theory to calculate the ground-state energy of the half-filled Hubbard model in infinite dimensions up to fourth order in the Hubbard interaction. We obtain the momentum distribution as a functional…

Strongly Correlated Electrons · Physics 2009-11-11 Daniel Ruhl , Florian Gebhard

The Mott-Hubbard transition in the half-filled Hubbard model is studied analytically for the paramagnetic ground state and the classical N\'{e}el state. The single-particle density of states is obtained by calculating the Green's function…

Condensed Matter · Physics 2013-07-19 Jongbae Hong , Hae-Young Kee

We construct and apply an exchange-correlation functional for the one-dimensional Hubbard model. This functional has built into it the Luttinger-liquid and Mott-insulator correlations, present in the Hubbard model, in the same way in which…

Strongly Correlated Electrons · Physics 2007-05-23 K. Capelle , N. A. Lima , M. F. Silva , L. N. Oliveira

We apply the approximate analytic methods to the investigation of the band structure of the asymmetric Hubbard model where the chemical potentials and electron transfer parameters depend on the electron spin (type of quasiparticles). The…

Strongly Correlated Electrons · Physics 2009-11-11 Ihor V. Stasyuk , Orest B. Hera

The Hubbard model is the simplest model that is believed to exhibit superconductivity arising from purely repulsive interactions, and has been extensively applied to explore a variety of unconventional superconducting systems. Here we study…

We present a new parallel algorithm for the exact diagonalization of the $t-t'$-Hubbard model with the Lanczos-method. By invoking a new scheme of labeling the states we were able to obtain a speedup of up to four on 16 nodes of an IBM SP2…

Strongly Correlated Electrons · Physics 2009-10-30 W. Fettes , I. Morgenstern , T. Husslein

We investigate the static charge response for the Hubbard model. Using the Slave-Boson method in the saddle-point approximation we calculate the charge susceptibility. We find that RPA works quite well close to half-filling, breaking, of…

Strongly Correlated Electrons · Physics 2009-11-07 Erik Koch

We present a $T=0K$ renormalization group (RG) phase diagram for the electronic Hubbard model in two dimensions on the square lattice at, and away from, half filling. The RG procedure treats quantum fluctuations in the single particle…

Strongly Correlated Electrons · Physics 2020-06-24 Anirban Mukherjee , Siddhartha Lal

Ground-state properties, such as energies and double occupancies, of a one-dimensional two-band Hubbard model are calculated using a first principles Gutzwiller conjugate gradient minimization theory. The favorable agreement with the…

Strongly Correlated Electrons · Physics 2023-01-18 Zhuo Ye , Feng Zhang , Yong-Xin Yao , Cai-Zhuang Wang , Kai-Ming Ho

The Mott metal-insulator transition in the two-band Hubbard model in infinite dimensions is studied by using the linearized dynamical mean-field theory recently developed by Bulla and Potthoff. The phase boundary of the metal-insulator…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Ono , R. Bulla , A. C. Hewson

We propose a new combined approach of the exact diagonalization, the renormalization group and the Bethe ansatz for precise estimates of the charge gap $\Delta$ in the one-dimensional extended Hubbard model with the onsite and the…

Strongly Correlated Electrons · Physics 2015-06-25 K. Sano , Y. Ono

When electron-electron correlations are important, it is often necessary to use exact numerical methods, such as Lanczos diagonalization, to study the full many-body Hamiltonian. Unfortunately, such exact diagonalization methods are…

Condensed Matter · Physics 2012-08-27 J. Tinka Gammel , D. K. Campbell , E. Y. Loh,

We investigate, by numerically calculating the charge stiffness, the effects of random diagonal disorder and electron-electron interaction on the nature of the ground state in the 2D Hubbard model through the finite size exact…

Strongly Correlated Electrons · Physics 2009-10-31 R. Kotlyar , S. Das Sarma
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