TY - JOUR
T1 - The 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.
N1 - Funding Information:
BZS, SAP and SLS thank the Stanford Institute for Theoretical Physics for hospitality. This work was supported in part by NSF grants DMR-1006608 and PHY-1005429 (SAP, SLS), DMR-0758356 (SAK) and DMR-0704151 (BZS) .
PY - 2012/6/1
Y1 - 2012/6/1
N2 - The Pfaffian phase of electrons in the proximity of a half-filled Landau level is understood to be a pip superconductor of composite fermions. We consider the properties of this paired quantum Hall phase when the pairing scale 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 Pfaffian states exemplify a general dichotomy between Type I and Type II quantum Hall fluids.
AB - The Pfaffian phase of electrons in the proximity of a half-filled Landau level is understood to be a pip superconductor of composite fermions. We consider the properties of this paired quantum Hall phase when the pairing scale 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 Pfaffian states exemplify a general dichotomy between Type I and Type II quantum Hall fluids.
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U2 - 10.1016/j.physb.2012.01.069
DO - 10.1016/j.physb.2012.01.069
M3 - Article
AN - SCOPUS:84859539460
SN - 0921-4526
VL - 407
SP - 1937
EP - 1938
JO - Physica B: Condensed Matter
JF - Physica B: Condensed Matter
IS - 11
ER -