TY - JOUR
T1 - Quasiholes of 13 and 73 quantum Hall states
T2 - Size estimates via exact diagonalization and density-matrix renormalization group
AU - Johri, Sonika
AU - PapiÄ, Z.
AU - Bhatt, R. N.
AU - Schmitteckert, P.
PY - 2014/3/24
Y1 - 2014/3/24
N2 - We determine the size of the elementary quasihole in =1/3 and =7/3 quantum Hall states via exact-diagonalization and density-matrix renormalization group calculations on the sphere and cylinder, using a variety of short- and long-range pinning potentials. The size of the quasihole at filling factor =1/3 is estimated to be 4,"B, and that of =7/3 is 7,"B, where ,"B is the magnetic length. In contrast, the size of the Laughlin quasihole, expected to capture the basic physics in these two states, is around 2.5, "B. Our work supports the earlier findings that the quasihole in the first excited Landau level is significantly larger than in the lowest Landau level.
AB - We determine the size of the elementary quasihole in =1/3 and =7/3 quantum Hall states via exact-diagonalization and density-matrix renormalization group calculations on the sphere and cylinder, using a variety of short- and long-range pinning potentials. The size of the quasihole at filling factor =1/3 is estimated to be 4,"B, and that of =7/3 is 7,"B, where ,"B is the magnetic length. In contrast, the size of the Laughlin quasihole, expected to capture the basic physics in these two states, is around 2.5, "B. Our work supports the earlier findings that the quasihole in the first excited Landau level is significantly larger than in the lowest Landau level.
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U2 - 10.1103/PhysRevB.89.115124
DO - 10.1103/PhysRevB.89.115124
M3 - Article
AN - SCOPUS:84898720927
SN - 1098-0121
VL - 89
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 11
M1 - 115124
ER -