Magnetic phase diagram of {nu}=2 quantum Hall systems

We present the magnetic phase diagram of the {nu}=2 quantum Hall system on the whole (r{sub s},E{sub Z}) plane. We fix the phase boundaries of the paramagnetic and ferromagnetic states by looking for a softening of spin-density excitations in the time-dependent Hartree-Fock theory. A nontrivial phas...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2009-03, Vol.79 (12)
Main Authors: Yoshizawa, Kanako, Takayanagi, Kazuo
Format: Article
Language:English
Subjects:
CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
DENSITY
ELECTRON GAS
EXCITATION
FERROMAGNETISM
HALL EFFECT
HARTREE-FOCK METHOD
INSTABILITY
PARAMAGNETISM
PHASE DIAGRAMS
PHASE TRANSFORMATIONS
SPIN
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
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Summary:We present the magnetic phase diagram of the {nu}=2 quantum Hall system on the whole (r{sub s},E{sub Z}) plane. We fix the phase boundaries of the paramagnetic and ferromagnetic states by looking for a softening of spin-density excitations in the time-dependent Hartree-Fock theory. A nontrivial phase is obtained in the self-consistent Hartree-Fock theory for r{sub s}{approx}2 and E{sub Z} < or approx. 0.06({Dirac_h}/2{pi}){omega}{sub c}, where both the paramagnetic and ferromagnetic states show spin instability. We show that the obtained phase is the spin-density wave (SDW) state, and explain the mechanism how the SDW stabilizes.
ISSN:1098-0121
1550-235X
DOI:10.1103/PHYSREVB.79.125321