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Quantum Phase Transition at Nonzero Doping in a Random t-J Model.

Henry Shackleton1, Alexander Wietek2, Antoine Georges2,3,4,5

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.

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|April 16, 2021
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Summary
This summary is machine-generated.

This study reveals a metallic spin glass phase in a random t-J model, extending from insulating states up to a critical doping level. This metallic phase exhibits unique electronic properties and connections to quantum chaos models.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Materials Science

Background:

  • The t-J model describes strongly correlated electrons in materials like cuprates.
  • Understanding the interplay of correlations, disorder, and magnetism is crucial for novel electronic phases.

Purpose of the Study:

  • To investigate the properties of a t-J model with random all-to-all interactions.
  • To explore the emergence and characteristics of metallic spin glass phases.
  • To connect these findings to quantum chaos and disordered Fermi surfaces.

Main Methods:

  • Exact diagonalization on finite clusters.
  • Analysis of dynamic spin susceptibility.
  • Examination of thermodynamic and entanglement entropy.
  • Study of electron energy distribution functions.

Main Results:

  • A metallic spin glass phase exists up to a critical doping p ≈ 1/3.
  • Signatures of Sachdev-Ye-Kitaev models observed in dynamic spin susceptibility near p_c.
  • Maxima in entropy, entanglement entropy, and compressibility indicate a phase transition.
  • Disordered Luttinger-volume Fermi surface observed for p > p_c, breaking down for p < p_c.

Conclusions:

  • Random all-to-all interactions in the t-J model capture essential physics of correlated electron systems.
  • The metallic spin glass phase represents a novel state of matter with unique electronic properties.
  • The study provides insights into the breakdown of Fermi surface properties in strongly correlated disordered systems.