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Two-Dimensional Non-Fermi-Liquid Metals: A Solvable Large-N Limit.

Jeremias Aguilera Damia1, Shamit Kachru2, Srinivas Raghu2,3

  • 1Centro Atómico Bariloche, CNEA and CONICET, Bariloche, R8402AGP, Argentina.

Physical Review Letters
|September 17, 2019
PubMed
Summary
This summary is machine-generated.

Researchers explored non-Fermi-liquid (NFL) metals, finding a new matrix large-N theory that offers a tractable approach. This model describes interacting fermions and order parameter fluctuations near quantum criticality.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Critical Phenomena
  • Many-Body Theory

Background:

  • Non-Fermi-liquid (NFL) metals are gapless conductors without quasiparticle descriptions.
  • One class of NFL metals involves fermions interacting with order parameter fluctuations near quantum critical points.
  • Traditional large-N approximations have shown limitations in two spatial dimensions.

Purpose of the Study:

  • To develop a tractable large-N limit for studying non-Fermi-liquid metals.
  • To investigate an alternative theoretical framework using a matrix large-N approach.
  • To analyze the low-energy behavior of fermions interacting with soft order parameter fluctuations.

Main Methods:

  • Formulation of a "matrix large-N" theory with fermions in the fundamental representation and order parameter fields in the adjoint representation of SU(N).
  • Analysis of the coupled saddle-point equations in the large-N limit.
  • Calculation of the low-energy properties of the system.

Main Results:

  • The matrix large-N theory provides a tractable framework for studying NFL metals.
  • The low-energy spectrum features an overdamped boson with dynamical exponent z=3.
  • The fermion self-energy exhibits non-Fermi-liquid behavior: Σ(ω)∼ω^{2/3}.

Conclusions:

  • The developed matrix large-N approach offers a viable alternative to previous approximations for NFL metals.
  • The results are consistent with existing studies, validating the new theoretical framework.
  • This work advances the understanding of strongly correlated electron systems near quantum criticality.