TY - JOUR
T1 - Interacting composite fermions
AU - Jain, J. K.
AU - Kamilla, R. K.
AU - Park, K.
AU - Scarola, V. W.
N1 - Funding Information:
This work was supported in part by the National Science Foundation under Grant no. DMR 9986806. We are grateful to the Numerically Intensive Computing Group led by V. Agarwala, J. Holmes, and J. Nucciarone, at the Penn State University CAC for assistance and computing time with the LION-X cluster.
PY - 2001
Y1 - 2001
N2 - Even though much of the dramatic physics of two-dimensional electrons in a high magnetic field is explicable in terms of weakly interacting composite fermions (CFs), the inter-CF interaction is responsible for many interesting, non-trivial phenomena. Here, we discuss four examples. (i) At small filling factors, a softening of the roton mode destroys the fractional Hall effect, giving way to the Wigner crystal. (ii) In higher Landau levels, the fractional Hall effect is destroyed due to a collapse of the energy of the neutral exciton. (iii) At ν = 5/2, the Fermi sea of CFs is unstable to Cooper pairing of CFs, thereby opening up a gap and producing a fractional Hall effect. (iv) Prior to the transition into the Wigner crystal, the CF liquid exhibits the Bloch instability into a magnetically ordered, spontaneously broken symmetry phase.
AB - Even though much of the dramatic physics of two-dimensional electrons in a high magnetic field is explicable in terms of weakly interacting composite fermions (CFs), the inter-CF interaction is responsible for many interesting, non-trivial phenomena. Here, we discuss four examples. (i) At small filling factors, a softening of the roton mode destroys the fractional Hall effect, giving way to the Wigner crystal. (ii) In higher Landau levels, the fractional Hall effect is destroyed due to a collapse of the energy of the neutral exciton. (iii) At ν = 5/2, the Fermi sea of CFs is unstable to Cooper pairing of CFs, thereby opening up a gap and producing a fractional Hall effect. (iv) Prior to the transition into the Wigner crystal, the CF liquid exhibits the Bloch instability into a magnetically ordered, spontaneously broken symmetry phase.
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U2 - 10.1016/S0038-1098(00)00440-3
DO - 10.1016/S0038-1098(00)00440-3
M3 - Article
AN - SCOPUS:0035155612
SN - 0038-1098
VL - 117
SP - 117
EP - 122
JO - Solid State Communications
JF - Solid State Communications
IS - 3
ER -