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Tunneling of correlated electrons in ultra high magnetic field

Shan-Wen Tsai·D. L. Maslov·L. I. Glazman
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Abstract

Effects 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.

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Shan-Wen Tsai, D. L. Maslov, L. I. Glazman. 2002-03-02. Tunneling of correlated electrons in ultra high magnetic field. https://doi.org/10.1103/physrevb.65.241102

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