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29 March 2024
 
  » arxiv » cond-mat/0312666

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On ground states of interacting Composite Fermions with spin at half filling
Matteo Merlo ; Nicodemo Magnoli ; Maura Sassetti ; Bernhard Kramer ;
Date 28 Dec 2003
Subject Mesoscopic Systems and Quantum Hall Effect; Strongly Correlated Electrons | cond-mat.mes-hall cond-mat.str-el
Affiliation Dipartimento di Fisica, INFM-LAMIA, Università di Genova, Italy; Dipartimento di Fisica, INFN, Università di Genova, Italy; I. Institut für Theoretische Physik, Universität Hamburg, Germany
AbstractThe effects of interactions in a 2D electron system in a strong magnetic field of two degenerate Landau levels with opposite spins and at filling factors 1/2 are studied. Using the Chern-Simons gauge transformation, the system is mapped to Composite Fermions. The fluctuations of the gauge field induce an effective interaction between the Composite Fermions which can be attractive in both the particle-particle and in the particle-hole channel. As a consequence, a spin-singlet (s-wave) ground state of Composite Fermions can exist with a finite pair-breaking energy gap for particle-particle or particle-hole pairs. The competition between these two possible ground states is discussed. For long-range Coulomb interaction the particle-particle state is favored if the interaction strength is small. With increasing interaction strength there is a crossover towards the particle-hole state. If the interaction is short range, only the particle-particle state is possible.
Source arXiv, cond-mat/0312666
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