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Continuous Easy-Plane Deconfined Phase Transition on the Kagome Lattice
Xue-Feng Zhang1,2, Yin-Chen He3,4, Sebastian Eggert5
1Department of Physics, Chongqing University, Chongqing 401331, People's Republic of China.
Quantum Monte Carlo simulations reveal a continuous quantum phase transition in hard core bosons on a kagome lattice. This study provides evidence for unconventional scaling behavior, suggesting deconfined quantum criticality.
Area of Science:
- Condensed Matter Physics
- Quantum Simulation
Background:
- Hard core bosons on a kagome lattice exhibit complex behavior due to frustration and quantum fluctuations.
- The nature of the quantum phase transition between valence bond solid and superfluid phases at 1/3 filling is debated.
Purpose of the Study:
- To investigate the quantum phase transition in an extended Hubbard model of hard core bosons on the kagome lattice.
- To provide theoretical and numerical evidence for the nature of the phase transition at 1/3 filling.
Main Methods:
- Large-scale Quantum Monte Carlo simulations using parallel tempering in the canonical ensemble.
- Development of an easy plane noncompact CP^{1} gauge theory to describe the phase transition.
- Finite size scaling analysis up to 15552 spins.
Main Results:
- Evidence for a continuous quantum phase transition at exactly 1/3 filling.
- Observation of unconventional scaling behavior during the phase transition.
- Strong indication of deconfined quantum criticality.
Conclusions:
- The quantum phase transition at 1/3 filling in this system is continuous.
- The observed unconventional scaling suggests a new universality class and deconfined quantum criticality.
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