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August 22, 2025Physical review. B./Physical review. B

Fermi surface as a quantum critical manifold: Gaplessness, order parameter, and scaling in d dimensions

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Authors

GCGennady Y. ChitovJoint Institute for Nuclear Research

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Implication

Observational analysis highlights gapless phase characteristics in d-dimensional fermions, suggesting significant insights into quantum criticality and Lifshitz transitions.

Key Points

  • Gapless excitations emerge as a hallmark of the metallic phase, showcasing significant properties at T=0.
  • The geometric order parameter, as the d-volume of the Fermi sea, aligns with scaling behaviors near Lifshitz points.
  • Assessment examines chain, ladder, and free fermion models, confirming consistency with various scaling relations.
  • Analyzed interacting cases display universality classes similar to free fermions, underlining key quantum critical features.

Cite This Study

Gennady Y. Chitov (2025) studied this question.

synapsesocial.com/papers/68af53ffad7bf08b1eadabafhttps://doi.org/10.1103/5f2t-k1cf
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