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Finite-Volume Energy Spectrum, Fractionalized Strings, and Low-Energy Effective Field Theory for the Quantum Dimer Model on the Square Lattice

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2016
Inst. Woodbury, NY

Physical review / B 94(11), 115120 () [10.1103/PhysRevB.94.115120]
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Report No.: arXiv:1511.00881

Abstract: We present detailed analytic calculations of finite-volume energy spectra, mean-field theory, as well as a systematic low-energy effective field theory for the square lattice quantum dimer model. An emergent approximate spontaneously broken SO(2) symmetry gives rise to a pseudo-Goldstone boson. Remarkably, this soft phononlike excitation, which is massless at the Rokhsar-Kivelson (RK) point, exists far beyond this point. The Goldstone physics is captured by a systematic low-energy effective field theory. We determine its low-energy parameters by matching the analytic effective field theory with exact diagonalization results. This confirms that the model exists in the columnar (and not in a plaquette or mixed) phase all the way to the RK point.

Keyword(s): effective field theory ; energy spectrum ; finite size ; lattice ; string ; fractional ; Goldstone particle ; Monte Carlo ; energy: low

Classification:

Contributing Institute(s):
  1. NIC (ZEU-NIC)
Research Program(s):
  1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)
  2. ATOMICGAUGESIMULATOR - Classical and Atomic Quantum Simulation of Gauge Theories in Particle and Condensed Matter Physics (339220) (339220)
Experiment(s):
  1. No specific instrument

Appears in the scientific report 2016
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Finite-Volume Energy Spectrum, Fractionalized Strings, and Low-Energy Effective Field Theory for the Quantum Dimer Model on the Square Lattice
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