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Generic mixed columnar-plaquette phases in Rokhsar-Kivelson models
A Ralko1, D Poilblanc, R Moessner
1Laboratoire de Physique Théorique, Centre National de la Recherche Scientifique and Université de Toulouse, Toulouse, France.
Physical Review Letters
|February 1, 2008
Summary
We reveal a mixed phase in Rokhsar-Kivelson models, bridging columnar and plaquette states. This finding resolves previous scientific disagreements in quantum dimer models.
Area of Science:
- Condensed matter physics
- Quantum magnetism
- Superconductivity
Background:
- Rokhsar-Kivelson models are crucial for understanding phenomena like superconductivity and frustrated magnetism.
- Previous studies on the square lattice quantum dimer model yielded conflicting results regarding its phase diagram.
Purpose of the Study:
- To clarify the phase diagram of Rokhsar-Kivelson models.
- To investigate the existence of a mixed phase interpolating between columnar and plaquette states.
- To resolve discrepancies in prior research on the square lattice quantum dimer model.
Main Methods:
- Development of an extended height effective theory.
- Application of exact diagonalization techniques.
- Utilizing Green's function Monte Carlo simulations.
- Analysis of excitation gaps across different symmetry sectors.
- Examination of plaquette structure factors.
Main Results:
- Identification of a generic phase diagram containing a mixed phase.
- Demonstration that this mixed phase continuously interpolates between columnar and plaquette states.
- Evidence from computational methods supporting the realization of this mixed phase in the square lattice quantum dimer model.
Conclusions:
- The study provides a unified framework for understanding the phase diagram of the quantum dimer model.
- The findings reconcile conflicting results from previous investigations.
- The identified mixed phase offers new insights into quantum phase transitions.
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