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Scaling Behavior of the Magnetoconductivity of Dilute 2D Electrons: Transition to a Spin Ordered Phase
Author(s) -
Vitkalov S.A.,
Sarachik M.P.
Publication year - 2002
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/1521-3951(200203)230:1<73::aid-pssb73>3.0.co;2-a
Subject(s) - condensed matter physics , scaling , electron , spin (aerodynamics) , magnetic field , conductivity , phase transition , density of states , physics , materials science , quantum mechanics , thermodynamics , geometry , mathematics
For a broad range of electron densities n and temperatures T , the in‐plane magnetoconductivity of the two‐dimensional system of electrons in silicon MOSFETs can be scaled onto a universal curve with a single parameter H σ ( n , T ), where H σ obeys the empirical relation H σ = A ( n ) [ Δ ( n ) 2 + T 2 ] 1/2 . The characteristic energy k B Δ associated with the magnetic field dependence of the conductivity decreases with decreasing density, and extrapolates to 0 at a critical density n 0 , signaling the approach to a zero‐temperature quantum phase transition. We show that H σ = AT for densities near n 0 .