Mottness collapse and statistical quantum criticality
| Autor: | B. J. Overbosch, Jan Zaanen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2009 |
| Předmět: |
Quantum phase transition
Physics Strongly Correlated Electrons (cond-mat.str-el) Hubbard model General Mathematics Quantum dynamics Condensed Matter - Superconductivity General Engineering FOS: Physical sciences General Physics and Astronomy Fermion 01 natural sciences 010305 fluids & plasmas Superconductivity (cond-mat.supr-con) Theoretical physics Condensed Matter - Strongly Correlated Electrons 0103 physical sciences Path integral formulation Condensed Matter::Strongly Correlated Electrons 010306 general physics Quantum statistical mechanics Pseudogap Quantum |
| Popis: | We forward here the case that the anomalous electron states found in cuprate superconductors and related systems are rooted in a deeply non-classical fermion sign structure. The collapse of Mottness as advocated by Phillips and supported by recent DCA results on the Hubbard model is setting the necessary microscopic conditions. The crucial insight is due to Weng who demonstrated that in the presence of Mottness the fundamental workings of quantum statistics changes and we will elaborate on the effects of this Weng statistics with an emphasis on characterizing these further using numerical methods. The pseudogap physics of the underdoped regime appears as a consequence of the altered statistics and the profound question is how to connect this by a continuous quantum phase transition to the overdoped regime ruled by normal Fermi-Dirac statistics. Proof of principle follows from Ceperley's constrained path integral formalism where states can be explicitly constructed showing a merger of Fermi-Dirac sign structure and scale invariance of the quantum dynamics. 27 pages, 4 figures, submitted to theme issue of Phil. Trans. R. Soc. A |
| Databáze: | OpenAIRE |
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