Slave-rotor mean-field theories of strongly correlated systems and the Mott transition in finite dimensions

By S. Florens, A. Georges. 2004

183 citations recorded by the source corpus.

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 systems. When the phase variables are treated in a local mean-field manner, similar results to the dynamical mean-field theory are obtained, namely a Brinkman-Rice transition at commensurate fillings together with a ``preformed'' Mott gap in the single-particle density of states. The slave- rotor formalism allows to go beyond the local description and take into account spatial correlations, following an analogy to the superfluid-insulator transition of bosonic systems. We find that the divergence of the effective mass at the metal- insulator transition is suppressed by short range magnetic correlations in finite-dimensional systems. Furthermore, the strict separation of energy scales between the Fermi- liquid coherence scale and the Mott gap found in the local picture, holds only approximately in finite dimensions, due to the existence of low-energy collective modes related to zero-sound.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics

View Paper: https://www.semanticscholar.org/paper/2d7951d3342e1a3fbc0c80042412d64eb4ff2c54

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

Citations in the corpus

Electronic structure calculations with dynamical mean-field theory (2005, methodology): “Other subunitary impurity solvers were developed based on slave rotor methods Florens and Georges, 2002, 2004 and on decoupling schemes Costi, 1986; Jeschke and Kotliar, 2005 .”
Ferromagnetic exchange, spin–orbit coupling and spiral magnetism at the LaAlO3/SrTiO3 interface (2013, methodology): “We obtain a simple analytical result for the phase boundary between a metal and COI insulator using a slave-rotor approach [21] (see Methods).”
Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors (2010, background): “An alternative approach (Lee and Lee, 2005) starts with the slave rotor representation (Florens and Georges, 2004) and derives an effective Lagrangian describing fermionic spinons and ‘X bosons’ coupled to U(1) gauge fields.”
Quantum spin liquid states (2016, methodology): “To study the effect of charge fluctuations near the metal-insulator transition, Lee and Lee (Lee and Lee, 2005) began with the Hubbard model and developed a U(1) gauge theory with the help of the slave-rotor representation (Florens and Georges, 2004).”
Continuous-time Monte Carlo methods for quantum impurity models (2010, methodology): “…renormalization group, as well as “X-operator” techniques (Gunnarsson and Schönhammer, 1983; Hubbard, 1964; Keiter and Kimball, 1970) and different formulations of auxiliary (“slave”) particle methods (Abrikosov, 1965; Barnes, 1976; Coleman, 1984; Florens and Georges, 2004; Read and Newns, 1983).”