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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

A new slave-spin representation of fermion operators has recently been proposed for the half-filled Hubbard model. We show that with the addition of a gauge variable, the formalism can be extended to finite doping. The resulting spin…

Strongly Correlated Electrons · Physics 2011-01-04 S. R. Hassan , L. de' Medici

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

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

In this paper, we develop a new type of slave particle method which is similar to the slave rotor model except that the quantum rotor is substituted by a spin one slave particle. The spin-one slave particle itself can be represented in…

Strongly Correlated Electrons · Physics 2011-12-02 Masoud Mardani , Mohammad-Sadegh Vaezi , Abolhassan Vaezi

A systematic study of the effect of magnetic field (h) on Hubbard model has been carried out at half filling within dynamical mean field theory. In agreement with previous studies, we find a zero temperature itinerant metamagnetic…

Strongly Correlated Electrons · Physics 2015-05-19 D. Parihari , N. S. Vidhyadhiraja , A. Taraphder

The Kondo lattice model, augmented by a Zeeman term, serves as a useful model of a Kondo insulator in an applied magnetic field. A variational mean field analysis of this system on a square lattice, backed up by quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2007-07-03 K. S. D. Beach , Patrick A. Lee , P. Monthoux

A new mean field theory is proposed for the Mott transition in the Hubbard model based on the slave rotor representation of the electron operator. This theory provides a better description of the role of the long range charge correlation in…

Strongly Correlated Electrons · Physics 2016-01-12 Tao Li , Tomonori Shirakawa , Kazuhiro Seki , Seiji Yunoki

We apply the slave-boson approach of Kotliar and Ruckenstein to the two-band Hubbard model with an Ising like Hund's rule coupling and bands of different widths. On the mean-field level of this approach we investigate the Mott transition…

Strongly Correlated Electrons · Physics 2009-11-25 A. Rüegg , M. Indergand , S. Pilgram , M. Sigrist

We extend the theory of ground states of classical Heisenberg spin systems previously published to the case where the interaction with an external magnetic field is described by a Zeeman term. The ground state problem for the…

Other Condensed Matter · Physics 2017-10-03 Heinz-Jürgen Schmidt

We study the magnetic field driven metal-to-insulator transition in half-filled Hubbard model on the Bethe lattice, using the dynamical mean-field theory by solving the quantum impurity problem with density-matrix renormalization group…

Strongly Correlated Electrons · Physics 2017-09-13 W. Zhu , D. N. Sheng , Jian-Xin Zhu

We study a strongly interacting quantum dot connected to two superconducting leads using a slave-spin representation of the dot. At the mean-field level, the problem maps to a resonant level model with superconducting leads, coupled to an…

Mesoscale and Nanoscale Physics · Physics 2026-05-14 Andriani Keliri , Marco Schirò

We study the magnetization process of a 1D extended Heisenberg model, the $J$-$Q$ model, as a function of an external magnetic field. In this model, $J$ represents the traditional antiferromagnetic Heisenberg exchange and $Q$ is the…

Strongly Correlated Electrons · Physics 2017-05-30 Adam Iaizzi , Kedar Damle , Anders W. Sandvik

This thesis investigates the magnetic, spectral, and transport properties of strongly correlated electronic systems, with a primary focus on the Hubbard model and its extensions relevant for real materials. Within the dynamical mean-field…

Strongly Correlated Electrons · Physics 2026-03-19 Joel Bobadilla

The mean-field theory with the use of the slave-boson functional method is generalized to take account of the spin- and orbital-ordered state in the doubly degenerate Hubbard model. Some numerical calculations are presented of the…

Strongly Correlated Electrons · Physics 2007-05-23 Hideo Hasegawa

The effect of a magnetic field on Mott-Hubbard systems is investigated by studying the half-filled Hubbard model in the limit of infinite dimensions. A first-order metamagnetic transition between the strongly correlated metal and the Mott…

Condensed Matter · Physics 2009-10-22 Laurent Laloux , Antoine Georges , Werner Krauth

We study the ground state of the Hubbard model on a square lattice with two degenerate orbitals per site and at integer fillings as a function of onsite Hubbard repulsion $U$ and Hund's intra-atomic exchange coupling $J$. We use a…

Strongly Correlated Electrons · Physics 2021-12-08 Arun Kumar Maurya , Md. Tahir Hossain Sarder , Amal Medhi

We review a representation of Hubbard-like models that is based on auxiliary pseudospin variables. These pseudospins refer to the local charge modulo two in the original model and display a local Z_2 gauge freedom. We discuss the associated…

Strongly Correlated Electrons · Physics 2010-04-23 A. Rüegg , S. D. Huber , M. Sigrist

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

Building on work by Florens and Georges, we formulate and study a self-consistent slave rotor mean field theory for strongly correlated systems. This approach views the electron, in the strong correlation regime, as a composite of a neutral…

Strongly Correlated Electrons · Physics 2009-11-13 Erhai Zhao , Arun Paramekanti
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