Quantum Criticality Due to the Topological Effects in the Hubbard Model

• Authors: T. Kopeć
• Languages of publication: EN

Abstracts

EN

We argue that in a strongly correlated electron system collective instanton excitations of the phase field (dual to the charge) arise with a great degree of stability, governed by gauge flux changes by an integer multiple of 2π. By unraveling consequences of the nontrivial topology of the charge gauge U(2) group, we found that the pinning of the chemical potential and the zero-temperature divergence of charge compressibility define a novel "hidden" quantum criticality on verge of the Mott transition governed by the protectorate of stable topological numbers rather than the Landau paradigm of the symmetry breaking.

Keywords

EN

74.20.Fg; 71.10.Pm

Discipline

• 74.20.Fg: BCS theory and its development
• 71.10.Pm: Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)(for anyon mechanism in superconductors, see 74.20.Mn)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2007
• Volume: 111
• Issue: 4
• Pages: 527-536

Dates

published

2007-04

received

2006-09-14

Contributors

author

T. Kopeć

• Institute for Low Temperature and Structure Research, Polish Academy of Sciences, POB 1410, 50-950 Wrocław 2, Poland

References

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• 10. G. Morandi, The Role of Topology in Classical and Quantum Physics, Springer-Verlag, Berlin 1992

Identifiers

DOI

10.12693/APhysPolA.111.527