TY - JOUR

T1 - Numerical studies of the Pfaffian model of the ν = frac(5, 2) fractional quantum Hall effect

AU - Toke, Csaba

AU - Regnault, Nicolas

AU - Jain, Jainendra K.

N1 - Funding Information:
We thank IDRIS-CNRS for a computer time allocation, the High Performance Computing (HPC) group at Penn State University ASET (Academic Services and Emerging Technologies) for assistance and computing time on the Lion-XL and Lion-XO clusters. Partial support of this research by the National Science Foundation is gratefully acknowledged.

PY - 2007/12

Y1 - 2007/12

N2 - The Pfaffian model has been proposed for the fractional quantum Hall effect (FQHE) at ν = frac(5, 2). We examine it for the quasihole excitations by comparison with exact diagonalization results. Specifically, we consider the structure of the low-energy spectrum, accuracy of the microscopic wave functions, particle-hole symmetry, splitting of the degeneracies and off-diagonal long-range order. We also review how the 5/2 FQHE can be understood without appealing to the Pfaffian model. Implications for nonabelian braiding statistics will be mentioned.

AB - The Pfaffian model has been proposed for the fractional quantum Hall effect (FQHE) at ν = frac(5, 2). We examine it for the quasihole excitations by comparison with exact diagonalization results. Specifically, we consider the structure of the low-energy spectrum, accuracy of the microscopic wave functions, particle-hole symmetry, splitting of the degeneracies and off-diagonal long-range order. We also review how the 5/2 FQHE can be understood without appealing to the Pfaffian model. Implications for nonabelian braiding statistics will be mentioned.

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U2 - 10.1016/j.ssc.2007.03.061

DO - 10.1016/j.ssc.2007.03.061

M3 - Article

AN - SCOPUS:36049017096

VL - 144

SP - 504

EP - 511

JO - Solid State Communications

JF - Solid State Communications

SN - 0038-1098

IS - 12

ER -