Approaching off-diagonal long-range order for 1+1-dimensional relativistic anyons
arXiv:2006.16168 · doi:10.1103/PhysRevB.103.085140
Abstract
We construct and study relativistic anyons in 1+1 dimensions generalizing well-known models of Dirac fermions. First, a model of free anyons is constructed and then extended in two ways: (i) by adding density-density interactions, as in the Luttinger model, and (ii) by coupling the free anyons to a U(1)-gauge field, as in the Schwinger model. Second, physical properties of these extensions are studied. By investigating off-diagonal long-range order (ODLRO) at zero temperature, we show that anyonic statistics allows one to get arbitrarily close to ODLRO but that this possibility is destroyed by the gauge coupling. The latter is due to a nonzero effective mass generated by gauge invariance, which we show also implies the presence of screening, independently of the anyonic statistics.
arXiv comment15 pages, RevTeX, 1 figure; minor updates and corrections to original submission, final published version; missing references added after publication
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