TY - JOUR
T1 - Weakly coupled pfaffian as a type i quantum hall liquid
AU - Parameswaran, S. A.
AU - Kivelson, S. A.
AU - Sondhi, Shivaji Lal
AU - Spivak, B. Z.
PY - 2011/6/6
Y1 - 2011/6/6
N2 - The Pfaffian phase in the proximity of a half-filled Landau level is understood to be a p+ip superconductor of composite fermions. We consider the properties of this paired quantum Hall phase when the pairing energy is small, i.e., in the weak-coupling, BCS limit, where the coherence length is much larger than the charge screening length. We find that, as in a type I superconductor, vortices attract so that, upon varying the magnetic field from its magic value at ν=5/2, the system exhibits Coulomb frustrated phase separation. We propose that the weakly and strongly coupled Pfaffians exemplify a general dichotomy between type I and type II quantum Hall fluids.
AB - The Pfaffian phase in the proximity of a half-filled Landau level is understood to be a p+ip superconductor of composite fermions. We consider the properties of this paired quantum Hall phase when the pairing energy is small, i.e., in the weak-coupling, BCS limit, where the coherence length is much larger than the charge screening length. We find that, as in a type I superconductor, vortices attract so that, upon varying the magnetic field from its magic value at ν=5/2, the system exhibits Coulomb frustrated phase separation. We propose that the weakly and strongly coupled Pfaffians exemplify a general dichotomy between type I and type II quantum Hall fluids.
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U2 - 10.1103/PhysRevLett.106.236801
DO - 10.1103/PhysRevLett.106.236801
M3 - Article
C2 - 21770531
AN - SCOPUS:79960637603
SN - 0031-9007
VL - 106
JO - Physical review letters
JF - Physical review letters
IS - 23
M1 - 236801
ER -