Tunneling of correlated electrons in an ultrahigh magnetic field
Abstract
Effects of the electronelectron interaction on tunneling into a metal in an ultrahigh magnetic field (ultraquantum limit) are studied. The range of the interaction is found to have a decisive effect both on the nature of the fieldinduced instability of the ground state and on the properties of the system at energies above the corresponding gap. For a shortrange repulsive interaction, tunneling is dominated by the renormalization of the coupling constant, which leads eventually to the chargedensity wave instability. For a longrange interaction, there exists an intermediate energy range in which the conductance obeys a powerlaw scaling form, similar to that of a onedimensional Luttinger liquid. The exponent is magneticfield dependent, and more surprisingly, may be positive or negative, i.e., interactions may either suppress or enhance the tunneling conductance compared to its noninteracting value. At energies near the gap, scaling breaks down and tunneling is again dominated by the instability, which in this case is an (anisotropic) Wignercrystal instability.
 Publication:

Physical Review B
 Pub Date:
 May 2002
 DOI:
 10.1103/PhysRevB.65.241102
 arXiv:
 arXiv:condmat/0203034
 Bibcode:
 2002PhRvB..65x1102T
 Keywords:

 71.10.Pm;
 72.15.v;
 72.20.Ht;
 71.45.Lr;
 Fermions in reduced dimensions;
 Electronic conduction in metals and alloys;
 Highfield and nonlinear effects;
 Chargedensitywave systems;
 Condensed Matter  Strongly Correlated Electrons;
 Condensed Matter  Mesoscopic Systems and Quantum Hall Effect
 EPrint:
 4 pages, 2 .eps figures