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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Mottness collapse and statistical quantum criticality.

J Zaanen1, B J Overbosch

  • 1Instituut-Lorentz for Theoretical Physics, Universiteit Leiden, PO Box 9506, 2300 RA Leiden, The Netherlands.

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
|March 23, 2011
PubMed
Summary
This summary is machine-generated.

Anomalous electron states in cuprate superconductors stem from non-classical fermion sign structures. Altered quantum statistics, termed Weng statistics, explain pseudo-gap physics and link to Fermi-Dirac statistics via quantum phase transitions.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Materials Science

Background:

  • Cuprate superconductors exhibit anomalous electron states.
  • Mottness collapse is a prerequisite for these phenomena.
  • Existing models do not fully explain the observed physics.

Purpose of the Study:

  • To propose that anomalous electron states originate from non-classical fermion sign structures.
  • To investigate the role of altered quantum statistics (Weng statistics) in cuprate superconductors.
  • To elucidate the connection between pseudo-gap physics and Fermi-Dirac statistics.

Main Methods:

  • Analysis of Mottness collapse in the Hubbard model.
  • Characterization of Weng statistics using numerical methods.
  • Application of Ceperley's constrained path integral formalism.

Main Results:

  • Non-classical fermion sign structure is identified as the root of anomalous electron states.
  • Weng statistics explain the pseudo-gap physics in underdoped cuprates.
  • A continuous quantum phase transition framework is proposed to connect different regimes.

Conclusions:

  • The study provides a novel framework for understanding anomalous electron states in cuprates.
  • Weng statistics offer a new perspective on quantum phenomena in strongly correlated systems.
  • The proposed model bridges the gap between underdoped and overdoped regimes through quantum phase transitions.