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Bootstrapping Deconfined Quantum Tricriticality.

Shai M Chester1, Ning Su2

  • 1Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts 02138, USA; Center of Mathematical Sciences and Applications, Harvard University, Cambridge, Massachusetts 02138, USA; and Blackett Laboratory, Imperial College, Prince Consort Road, London, SW7 2AZ, United Kingdom.

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|April 2, 2024
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Summary
This summary is machine-generated.

The Neel to valence bond solid phase transition, a key example of deconfined quantum criticality, is accurately described by a conformal bootstrap study. This study predicts a specific scaling dimension for a relevant operator, confirming theoretical models.

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Area of Science:

  • Condensed matter physics
  • Quantum field theory
  • High-energy physics

Background:

  • Deconfined quantum criticality describes exotic phase transitions.
  • The Neel to valence bond solid transition is a prime example.
  • The CP^{N-1} model is a relevant field theory, with N=2 for this transition.

Purpose of the Study:

  • Investigate the SO(5) symmetric fixed points relevant to the Neel-VBS transition.
  • Determine the scaling dimension of the second relevant singlet operator.
  • Validate theoretical predictions using conformal bootstrap methods.

Main Methods:

  • Conformal bootstrap analysis of SO(5) invariant fixed points.
  • Comparison with large N computations of monopole operator scaling dimensions.
  • Exploration of tricritical points corresponding to two relevant SU(2)xU(1) singlets.

Main Results:

  • Bootstrap bounds are saturated by large N predictions.
  • The second relevant singlet operator is found to have a dimension of approximately 2.36.
  • Strong evidence supporting the description of the Neel-VBS transition by the conformal bootstrap.

Conclusions:

  • The conformal bootstrap provides an accurate description of the Neel-VBS transition.
  • The study validates theoretical predictions for scaling dimensions even at small N.
  • This work offers insights into the nature of deconfined quantum criticality.