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We employ the cluster slave-spin method to investigate systematically the ground state properties of the Hubbard model on a square lattice with doping $\delta$ and coupling strength $U$ being its parameters. In addition to a crossover…

Strongly Correlated Electrons · Physics 2021-10-01 Ming-Huan Zeng , Tianxing Ma , Y. -J. Wang

Magnetic properties of Hubbard model have been studied extensively. A theoretical description of these states, however, is not straight forward within conventional mean-field approach due to the electron correlation effects. Here we provide…

Strongly Correlated Electrons · Physics 2023-05-09 Jiasheng Qian , Zhiguang Liao , Rong Yu

Slave-particle method is a powerful tool to tackle the correlation effect in quantum many-body physics. Although it has been successfully used to comprehend various intriguing problems, such as Mott metal-insulator transition and Kondo…

Strongly Correlated Electrons · Physics 2019-09-27 Wei-Wei Yang , Yin Zhong , Hong-Gang Luo

We analyze the paramagnetic state of a two-band Hubbard model with finite Hund's coupling close to integer filling at $n=2$ in two spacial dimensions. Previously, a Mott metal-insulator transition was established at $n=2$ with a coexistence…

Strongly Correlated Electrons · Physics 2022-06-15 Raymond Fresard , Kevin Steffen , Thilo Kopp

Partial bosonisation of the two-dimensional Hubbard model focuses the functional renormalisation flow on channels in which interactions become strong and local order sets in. We compare the momentum structure of the four-fermion vertex,…

Strongly Correlated Electrons · Physics 2020-04-15 Tobias Denz , Mario Mitter , Jan M. Pawlowski , Christof Wetterich , Masatoshi Yamada

Various auxiliary-particle approaches to treat electron correlations in many-electron models are analyzed. Applications to copper-oxide layered systems are discussed. The ground-state magnetic phase diagrams are considered within the…

Strongly Correlated Electrons · Physics 2019-02-21 V. Yu. Irkhin , P. A. Igoshev

The slave boson mean-field studies of the ground state of the Hubbard model with correlated hopping were performed. The approach qualitatively recovers the exact results for the case of the hopping integral t equal to the correlated hopping…

Superconductivity · Physics 2009-10-30 Bogdan R. Bulka

We describe a new microscopic approach for analyzing interacting electron systems with local moments or, in principle, any local order parameter. We specialize attention to the doped Mott insulator phase of the Hubbard model, where standard…

Strongly Correlated Electrons · Physics 2007-05-23 N. E. Bickers , D. J. Scalapino

We study the charge dynamics of the half-filled Hubbard model on the square lattice at zero temperature. We employ a slave-fermion formulation in which the charge degrees of freedom are represented by fermionic holons and doublons and the…

Strongly Correlated Electrons · Physics 2024-06-26 X. J. Han , Y. Liu , Z. Y. Liu , X. Li , J. Chen , Z. Y. Xie , B. Normand , T. Xiang

Quantum Monte Carlo method is used to study the coupled spin-pseudospin Hamiltonian in one-dimension (1D) that models the charge-ordering instability of the anisotropic Hubbard ladder at quarter filling. We calculate the temperature…

Strongly Correlated Electrons · Physics 2007-05-23 T. Nakaegawa , Y. Ohta

The dual-fermion approach offers a way to perform diagrammatic expansion around the dynamical mean-field theory. Using this formalism, the influence of antiferromagnetic fluctuations on the self-energy is taken into account through…

Strongly Correlated Electrons · Physics 2014-12-22 Junya Otsuki , Hartmut Hafermann , Alexander I. Lichtenstein

We study the two-dimensional paramagnetic Anderson-Hubbard model using an extension of dynamical mean-field theory that allows us to treat disorder and strong electronic correlations on equal footing. We investigate the scaling of the…

Strongly Correlated Electrons · Physics 2009-11-13 Yun Song , R. Wortis , W. A. Atkinson

We address the intensively studied extended bosonic Hubbard model (EBHM) with truncation of the on-site Hilbert space to the three lowest occupation states n=0,1,2 in frames of the S=1 pseudospin formalism. Similar model was recently…

Superconductivity · Physics 2019-02-19 Yu. D. Panov , A. S. Moskvin , E. V. Vasinovich , V. V. Konev

The phase diagrams and superconducting properties of the extended Hubbard model with pair hopping interaction, i.e. the Penson-Kolb-Hubbard model are studied. The analysis of the model is performed for d-dimensional hypercubic lattices,…

Superconductivity · Physics 2009-10-31 Stanislaw Robaszkiewicz , Bogdan R. Bulka

The slave-rotor mean-field theory of Florens and Georges is generalized to the antiferromagnetic phase of the Hubbard model. An effective action consisting of a spin rotor and a fermion is derived and the corresponding saddle-point action…

Strongly Correlated Electrons · Physics 2007-05-23 Ki-Seok Kim , Jung Hoon Han

The cluster slave-spin method is introduced to systematically investigate the solutions of the Hubbard model including the symmetry-broken phases. In this method, the electron operator is factorized into a fermioninc spinon describing the…

Strongly Correlated Electrons · Physics 2017-09-12 Wei-Cheng Lee , Ting-Kuo Lee

We present a phase-space method for the Bose-Hubbard model based on the Q-function representation. In particular, we consider two model Hamiltonians in the mean-field approximation; the first is the standard "one site" model where quantum…

Soft Condensed Matter · Physics 2007-05-23 P. Jain , C. W. Gardiner

We consider a generalized Hubbard model with on-site and nearest-neighbour repulsions U and V respectively, and nearest-neighbour hopping for spin up (down) which depends on the total occupation n_b of spin down (up) electrons on both sites…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Aligia , E. Gagliano , Liliana Arrachea , K. Hallberg

We derive the reciprocal cluster mean-field method to study the strongly-interacting bosonic Harper-Hofstadter-Mott model. The system exhibits a rich phase diagram featuring band insulating, striped superfluid, and supersolid phases.…

Quantum Gases · Physics 2017-08-24 Dario Hügel , Hugo U. R. Strand , Philipp Werner , Lode Pollet

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…

Strongly Correlated Electrons · Physics 2009-11-10 Serge Florens , Antoine Georges