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Disordered Quantum Critical Fixed Points from Holography.

Xiaoyang Huang1, Subir Sachdev2, Andrew Lucas1

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|October 20, 2023
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Summary
This summary is machine-generated.

We introduce a new theory for quantum critical points lacking quasiparticles, incorporating disorder and charge density. This work provides analytical control over these complex systems using holographic duality.

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Area of Science:

  • Condensed matter physics
  • Quantum field theory
  • String theory

Background:

  • Quantum critical points (QCPs) are states of matter at absolute zero temperature.
  • Understanding QCPs with disorder is challenging due to a lack of analytical methods.
  • Holographic duality offers a powerful framework to study strongly correlated systems.

Purpose of the Study:

  • To develop an analytically controlled theory of quantum critical points without quasiparticles.
  • To investigate the effects of finite disorder and charge density on these critical points.
  • To calculate critical exponents and transport coefficients for disordered QCPs.

Main Methods:

  • Utilizing holographic duality (AdS/CFT correspondence) to model the system.
  • Perturbing a disorder-free quantum critical point with relevant disorder.
  • Employing field theoretic arguments and solving bulk equations of motion.
  • Calculating critical exponents and thermoelectric transport coefficients.

Main Results:

  • An analytically controlled theory for quantum critical points without quasiparticles was established.
  • Fixed points were identified by perturbing disorder-free QCPs with specific relevant disorder.
  • Critical exponents and thermoelectric transport coefficients were calculated.
  • Predictions for critical exponents align with previous holographic and non-holographic models.

Conclusions:

  • The study successfully presents a controlled theory for disordered quantum critical points.
  • Holographic methods provide valuable insights into the behavior of these systems.
  • The findings offer a foundation for further research into exotic quantum states of matter.