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Phase separation and flux quantization in the doped quantum dimer model on square and triangular lattices
Arnaud Ralko1, Frédéric Mila, Didier Poilblanc
1Laboratoire de Physique Théorique, CNRS and Université Paul Sabatier, F-31062 Toulouse, France.
Physical Review Letters
|October 13, 2007
Summary
Doping the quantum dimer model reveals distinct behaviors on square and triangular lattices. Triangular lattices transition directly to a superfluid, showing quantized charge transport, unlike square lattices which phase separate.
Area of Science:
- Condensed matter physics
- Quantum magnetism
- Superfluidity
Background:
- The quantum dimer model is a key theoretical framework for understanding quantum magnetism and exotic phases in two dimensions.
- Investigating doped systems is crucial for uncovering emergent phenomena like superconductivity and novel charge behaviors.
Purpose of the Study:
- To explore the impact of doping on the two-dimensional quantum dimer model on both square and triangular lattices.
- To characterize the resulting phases and their response to external magnetic fields.
Main Methods:
- Numerical investigations were employed to study the model's behavior.
- Analysis focused on phase transitions, separation, and response to Aharonov-Bohm flux.
Main Results:
- Square lattices exhibit phase separation between insulating and superfluid states upon doping.
- Triangular lattices show a direct transition to a uniform superfluid within the resonating-valence-bond (RVB) phase.
- Superfluid response to Aharonov-Bohm flux demonstrates quantization in half-flux quanta, indicating Q=2e charge carriers.
Conclusions:
- Lattice geometry significantly influences the outcome of doping in quantum dimer models.
- The observed quantized transport properties provide evidence for exotic charge carriers in the superfluid phase.
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