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Phase Transitions and Remnants of Fractionalization at Finite Temperature in the Triangular Lattice Quantum Loop
Xiaoxue Ran1, Sylvain Capponi2, Junchen Rong3,4
1The University of Hong Kong, Department of Physics and HK Institute of Quantum Science and Technology, Pokfulam Road, Hong Kong SAR, China.
We explored thermal fluctuations in quantum loop models on triangular lattices. A hidden vison plaquette quantum crystal exhibits a continuous phase transition with remnants of fractionalization, connecting to quantum critical points.
Area of Science:
- Condensed Matter Physics
- Quantum Simulation
- Statistical Mechanics
Background:
- Quantum loop and dimer models are key correlated systems with local constraints, relevant to topological order, lattice gauge theories, and quantum simulators.
- The interaction of thermal fluctuations with constraints in nonbipartite geometries remains underexplored.
Purpose of the Study:
- To investigate the finite-temperature phase diagram of the quantum loop model on the triangular lattice.
- To understand the behavior of thermal fluctuations and their impact on emergent phases and transitions.
Main Methods:
- Unbiased quantum Monte Carlo simulations.
- Field theoretical analysis.
Main Results:
- The hidden vison plaquette (VP) quantum crystal undergoes a finite-temperature continuous transition.
- This transition connects to the (2+1)d Cubic* quantum critical point, separating VP and Z_{2} quantum spin liquid phases.
- A unique 'remnants of fractionalization' phenomenon is observed, with independent criticality signatures from the cubic order parameter and the vison field.
Conclusions:
- The discovered phase transition links the VP quantum crystal to broader quantum critical phenomena.
- The findings are relevant for ongoing experiments on quantum simulation platforms.
- This work sheds light on the interplay between thermal fluctuations, constraints, and exotic phases in quantum systems.
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