TY - JOUR

T1 - Fermionic Chern-Simons theory for the fractional quantum Hall effect in bilayers

AU - Lopez, Ana

AU - Fradkin, Eduardo

PY - 1995

Y1 - 1995

N2 - We generalize the fermion Chern-Simons theory for the fractional Hall effect, which we developed before, to the case of bilayer systems. We study the complete dynamic rsponse of these systems and predict the experimentally accessible optical properties. In general, for the so-called (m,m,n) states, we find that the spectrum of collective excitations has a gap, and the wave function has the Jastrow-Slater form, with the exponents determined by the coefficients m and n. We also find that the (m,m,m) states, i.e., those states whose filling fraction is 1/m, have a gapless mode that may be related to the spontaneous appearance of the interlayer coherence. Our results also indicate that the gapless mode makes a contribution to the wave function of the (m,m,m) i.e., states analogous to the phonon contribution to the wave function of superfluid He4. We calculate the Hall conductance, and the charge and statistics of the quasiparticles. We also present an SU(2) generalization of this theory relevant to spin-unpolarized or partially polarized single layers.

AB - We generalize the fermion Chern-Simons theory for the fractional Hall effect, which we developed before, to the case of bilayer systems. We study the complete dynamic rsponse of these systems and predict the experimentally accessible optical properties. In general, for the so-called (m,m,n) states, we find that the spectrum of collective excitations has a gap, and the wave function has the Jastrow-Slater form, with the exponents determined by the coefficients m and n. We also find that the (m,m,m) states, i.e., those states whose filling fraction is 1/m, have a gapless mode that may be related to the spontaneous appearance of the interlayer coherence. Our results also indicate that the gapless mode makes a contribution to the wave function of the (m,m,m) i.e., states analogous to the phonon contribution to the wave function of superfluid He4. We calculate the Hall conductance, and the charge and statistics of the quasiparticles. We also present an SU(2) generalization of this theory relevant to spin-unpolarized or partially polarized single layers.

UR - http://www.scopus.com/inward/record.url?scp=0001453301&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001453301&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.51.4347

DO - 10.1103/PhysRevB.51.4347

M3 - Article

AN - SCOPUS:0001453301

SN - 0163-1829

VL - 51

SP - 4347

EP - 4368

JO - Physical Review B

JF - Physical Review B

IS - 7

ER -