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28 March 2024
 
  » arxiv » cond-mat/0203034

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Tunneling of correlated electrons in ultra high magnetic field
Shan-Wen Tsai ; D. L. Maslov ; L. I. Glazman ;
Date 2 Mar 2002
Journal Phys. Rev. B, 65 (2002) 241102.
Subject Strongly Correlated Electrons; Mesoscopic Systems and Quantum Hall Effect | cond-mat.str-el cond-mat.mes-hall
AbstractEffects of the electron-electron interaction on tunneling into a metal in ultra-high magnetic field (ultra-quantum limit) are studied. The range of the interaction is found to have a decisive effect both on the nature of the field-induced instability of the ground state and on the properties of the system at energies above the corresponding gap. For a short-range repulsive interaction, tunneling is dominated by the renormalization of the coupling constant, which leads eventually to the charge-density wave instability. For a long-range interaction, there exists an intermediate energy range in which the conductance obeys a power-law scaling form, similar to that of a 1D Luttinger liquid. The exponent is magnetic-field dependent, and more surprisingly, may be positive or negative, i. e., interactions may either suppress or enhance the tunneling conductance compared to its non-interacting value. At energies near the gap, scaling breaks down and tunneling is again dominated by the instability, which in this case is an (anisotropic) Wigner crystal instability.
Source arXiv, cond-mat/0203034
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