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Evidence for a quantum phase transition in two dimensions

Author

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  • Sarachik, M.P.
  • Vitkalov, S.A.

Abstract

For a broad range of electron densities n and temperatures T, data for the in-plane magnetoconductance of the two-dimensional system of electrons in silicon MOSFET's is shown to collapse onto a universal curve using a single parameter Hσ(n,T); the scaling parameter Hσ obeys the empirical relation Hσ=A(n)[Δ(n)2+T2]1/2. The characteristic energy kBΔ associated with the magnetic field dependence of the conductivity decreases with decreasing density, and extrapolates to 0 at a critical density n0, signaling the approach to a zero-temperature quantum phase transition. For densities near n0Hσ=AT so that the magnetoconductance scales with H/T. We suggest that this behavior is associated with a ferromagnetic instability.

Suggested Citation

  • Sarachik, M.P. & Vitkalov, S.A., 2001. "Evidence for a quantum phase transition in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 302(1), pages 368-374.
    • Handle: RePEc:eee:phsmap:v:302:y:2001:i:1:p:368-374
    DOI: 10.1016/S0378-4371(01)00455-1
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