TY - JOUR

T1 - Microscopic tests of topological electron-vortex binding in the fractional Hall effect

AU - Jeon, Gun Sang

AU - Peterson, Michael R.

AU - Jain, J. K.

PY - 2005/7/15

Y1 - 2005/7/15

N2 - The topological binding of quantized vortices and electrons plays a crucial role in our understanding of the fractional quantum Hall effect, and is manifest in the prototypical wave functions for the fractional Hall states. However, from a microscopic point of view, the non-Pauli vortices are not strictly bound to electrons in realistic ground state wave functions. We study here the Girvin-MacDonald off-diagonal long-range order for certain bosonic wave functions at Landau level fillings ν=1m (m odd), obtained from fermionic fractional Hall wave functions by a singular gauge transformation, and find strong evidence that the exponent describing its long-distance algebraic decay has a universal value equal to m2. We interpret this to mean that the topological notion of electron-vortex binding remains generally well defined as a long-distance property.

AB - The topological binding of quantized vortices and electrons plays a crucial role in our understanding of the fractional quantum Hall effect, and is manifest in the prototypical wave functions for the fractional Hall states. However, from a microscopic point of view, the non-Pauli vortices are not strictly bound to electrons in realistic ground state wave functions. We study here the Girvin-MacDonald off-diagonal long-range order for certain bosonic wave functions at Landau level fillings ν=1m (m odd), obtained from fermionic fractional Hall wave functions by a singular gauge transformation, and find strong evidence that the exponent describing its long-distance algebraic decay has a universal value equal to m2. We interpret this to mean that the topological notion of electron-vortex binding remains generally well defined as a long-distance property.

UR - http://www.scopus.com/inward/record.url?scp=33749158877&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.72.035304

DO - 10.1103/PhysRevB.72.035304

M3 - Article

AN - SCOPUS:33749158877

VL - 72

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 3

M1 - 035304

ER -