Paired composite-fermion wave functions
نویسندگان
چکیده
منابع مشابه
Paired composite fermion phase of quantum Hall bilayers at nu=1/2+1/2.
We provide numerical evidence for composite fermion pairing in quantum Hall bilayer systems at filling nu=1/2+1/2 for intermediate spacing between the layers. We identify the phase as p_(x)+ip_(y) pairing, and construct high accuracy trial wave functions to describe the ground state on the sphere. For large distances between the layers, and for finite systems, a competing "Hund's rule" state, o...
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We develop a phenomenological description of the nu=5/2 quantum Hall state in which the Halperin-Lee-Read theory of the half-filled Landau level is combined with a p-wave pairing interaction between composite fermions (CFs). The electromagnetic response functions for the resulting mean-field superconducting state of the CFs are calculated and used in an RPA calculation of the q and omega depend...
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Spin-wave excitation mode from the spin-polarized ground state in the fractional quantum Hall liquid with odd fractions (ν = 1/3, 1/5) numerically obtained by the exact diagonalization of finite systems is shown to be accurately described, for wavelengths exceeding the magnetic length, in terms of the composite-fermion mean-field approximation for the spin-wave (magnon) theory formulated in the...
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We discuss the emergence of an orthogonality catastrophe in the response of a composite fermion liquid as the filling factor ν approaches 1/2m, where m = 1, 2, 3.... A tunneling experiment is proposed in which dramatic changes in the I-V characteristic should be observable as ν is varied. Explicit I-V characteristics calculated within the so-called Modified Random Phase Approximation, are provi...
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The mean field (MF) composite Fermion (CF) picture successfully predicts the low-lying bands of states of fractional quantum Hall systems. This success cannot be attributed to the originally proposed cancellation between Coulomb and Chern– Simons interactions beyond the mean field and solely depends on the short range of the repulsive Coulomb pseudopotential in the lowest Landau level (LL). The...
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ژورنال
عنوان ژورنال: Physical Review B
سال: 2008
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.77.075319