Hartree calculation of local magnetic fields in an anyon superconductor

B. Y. Gelfand; B. I. Halperin

doi:10.1103/PhysRevB.45.5517

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Hartree calculation of local magnetic fields in an anyon superconductor

B. Y. Gelfand, B. I. Halperin

DOI 10.1103/PhysRevB.45.5517 · Physical Review B

T1

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Abstract

We use a modified Hartree approximation to calculate the charge and current distributions induced by the presence of a positive point charge above a plane of positively charged superconducting anyons, at zero temperature. The anyons are taken to have semion statistics, and are treated within a simple two-species effective-mass model. We also consider a geometry where the point charge is partially screened by a second, metallic, plane that does not contain anyons. Applying the results of muon-spin-relaxation experiments in YBa2Cu3O7 and Bi2Sr2CaCu2O8, we find that, if the CuO2 planes have charge carriers obeying semion statistics, then the magnetic field at the muon site should be in the range 0–25 G, with the actual value depending on the muon location in the crystal.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
YBa2Cu3O7 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Bi2Sr2CaCu2O8 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown