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New Easy-Plane CP^{N-1} Fixed Points.

Jonathan D'Emidio1, Ribhu K Kaul1

  • 1Department of Physics and Astronomy, University of Kentucky, Lexington, Kentucky 40506-0055, USA.

Physical Review Letters
|May 20, 2017
PubMed
Summary
This summary is machine-generated.

This study reveals how quantum phase transitions in easy-plane CP^{N-1} field theories change from first-order to continuous as the number of flavors (N) increases. This behavior is explained by a critical flavor number (N_{ep}) identified through simulations and renormalization group calculations.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory
  • High Energy Physics

Background:

  • Investigating fixed points of easy-plane CP^{N-1} field theories is crucial for understanding quantum phase transitions.
  • Deconfined criticality offers a framework for studying transitions between different quantum phases.

Purpose of the Study:

  • To combine quantum Monte Carlo simulations and renormalization group calculations to study fixed points of easy-plane CP^{N-1} field theories.
  • To explain the observed phase transition behavior in lattice models of easy-plane SU(N) superfluids.

Main Methods:

  • Utilizing quantum Monte Carlo simulations on lattice models of easy-plane SU(N) superfluids.
  • Employing field theoretic renormalization group calculations in 4-ε dimensions.
  • Applying concepts from deconfined criticality.

Main Results:

  • Small N exhibits a first-order phase transition, which weakens and becomes continuous for large N.
  • A critical flavor number (N_{ep}) was identified, separating distinct renormalization group flow behaviors.
  • For N > N_{ep}, flows lead to a new easy-plane CP^{N-1} fixed point describing quantum criticality.

Conclusions:

  • The study explains the N-dependent phase transition behavior through renormalization group flows.
  • The lattice model at its critical point provides numerical access to a new strongly coupled gauge-matter field theory.
  • This work elucidates the nature of fixed points in easy-plane CP^{N-1} theories and their associated phase transitions.