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Interfaces, Strings, and a Soft Mode in the Square Lattice Quantum Dimer Model
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abstract
The quantum dimer model on the square lattice is equivalent to a $U(1)$ gauge theory. Quantum Monte Carlo calculations reveal that, for values of the Rokhsar-Kivelson (RK) coupling $\lambda < 1$, the theory exists in a confining columnar phase. The interfaces separating distinct columnar phases display plaquette order, which, however, is not realized as a bulk phase. Static "electric" charges are confined by flux tubes that consist of multiple strands, each carrying a fractionalized flux $\frac{1}{4}$. A soft pseudo-Goldstone mode emerges around $\lambda \approx 0$, long before one reaches the RK point at $\lambda = 1$.
Forward citations
Cited by 2 Pith papers
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Bosonic vs. Fermionic Matter in Quantum Simulations of $2+1$D Gauge Theories
Hardcore-boson matter reproduces the fermionic U(1) quantum link model phase diagram in the confined regime, with extra boson-specific ordering near the transition.
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Fractionalization of flux tubes in 3d and screening by emergent electric charges in 2d
In charge-n monopole theories on a twisted cylinder, even n gives complete screening with emergent ±2/n charges, while odd n keeps a reduced-tension confining string.
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