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Slave-rotor mean-field theories of strongly correlated systems and the Mott transition in finite dimensions
Open accessAbstract
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.
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Cited by
Mott physics and band topology in materials with strong spin–orbit interaction
Pesin, D., & Balents, L. (2010) · Nature Physics · doi:10.1038/nphys1606 · Cited by 1,043
Lee, S.-S., & Lee, P. A. (2005) · Physical Review Letters · doi:10.1103/physrevlett.95.036403 · Cited by 408
Interacting topological insulators: a review
Rachel, S. (2018) · Reports on Progress in Physics · doi:10.1088/1361-6633/aad6a6 · Cited by 382
Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors
Powell, B. J., & McKenzie, R. H. (2011) · Reports on Progress in Physics · doi:10.1088/0034-4885/74/5/056501 · Cited by 314
Metadata
- Authors
- Florens, S., & Georges, A.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2004-07-27
- Volume
- 70
- Issue
- 3
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1969012945
- Cited by
- 268
- References
- 19
- FWCI
- 3.98
- Type
- journal article
- Language
- en
- Open access
- green
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