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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
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Published on: August 2, 2019

Semiholographic quantum criticality.

Kristan Jensen1

  • 1Department of Physics, University of Victoria, Victoria, British Columbia V8W 3P6, Canada.

Physical Review Letters
|December 21, 2011
PubMed
Summary
This summary is machine-generated.

We developed a near-critical effective theory (EFT) for holographic phase transitions. This semiholographic EFT generalizes Ginzburg-Landau-Wilson theory for critical phenomena and emergent conformal sectors.

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Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

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Published on: August 2, 2019

Area of Science:

  • Condensed Matter Physics
  • High Energy Physics
  • Holographic Duality

Background:

  • Low-temperature phase transitions are crucial in condensed matter systems.
  • Holographic methods provide a unique lens to study quantum critical points.
  • Existing models may not fully capture transitions with emergent conformal symmetry.

Purpose of the Study:

  • To identify a near-critical effective theory (EFT) for holographic phase transitions.
  • To generalize the Ginzburg-Landau-Wilson paradigm for systems with emergent conformal sectors.
  • To explore the phenomenology of this new EFT.

Main Methods:

  • Developing a semiholographic effective theory.
  • Applying the theory to holographic Berezinskii-Kosterlitz-Thouless and second-order transitions.
  • Calculating critical exponents and low-frequency correlators.

Main Results:

  • Identification of a near-critical EFT applicable to a broad class of holographic transitions.
  • The EFT successfully describes transitions with nontrivial scaling and emergent conformal sectors.
  • Computation of critical exponents and correlators validating the EFT's predictions.

Conclusions:

  • The proposed semiholographic EFT offers a unified framework for diverse holographic phase transitions.
  • This work bridges concepts from condensed matter and high-energy physics via holography.
  • The EFT provides a powerful tool for studying quantum critical phenomena with emergent symmetries.