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Fermionic quantum dimer and fully-packed loop models on the square lattice
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DOI：10.1103/PhysRevB.83.155117.png)
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摘要
En 中文
We consider fermionic fully packed loop and quantum dimer models which serve as effective low-energy models for strongly correlated fermions on a checkerboard lattice at half- and quarter-filling, respectively. We identify a large number of fluctuationless states specific to each case and which are due to fermionic statistics. We discuss the symmetries and conserved quantities of the system and show that, for a class of fluctuating states in the half- filling case, the fermionic sign problem can be gauged away. This claim is supported by a numerical evaluation of the low-lying states and can be understood by means of an algebraic construction. The elimination of the sign problem then allows us to analyze excitations at the Rokhsar-Kivelson point of the models using the relation to the height model and its excitations, within the single-mode approximation. We then discuss a mapping to a U(1) lattice gauge theory which relates the considered low-energy model to the compact quantum electrodynamics in 2 + 1 dimensions. Furthermore, we point out consequences and open questions in the light of these results.
Keyword:
FRACTIONAL CHARGES
GROUND-STATES
TRANSITION
PYROCHLORE
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期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
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Short-ranged resonating valence bond physics, quantum dimer models, and Ising gauge theories.png)
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PHYSICAL REVIEW BIF3.7
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