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Two dimensional electron gas near full polarization

G. Zala·B. N. Narozhny·I. L. Aleiner·Vladimir I. Fal'ko
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Abstract

We establish the consistency of the Fermi liquid description and find a relation between Fermi liquid constants for the two dimensional electron system near the point of full polarization due to a parallel magnetic field $H$. Our results enable us to predict connections between different thermodynamic properties of the system. In particular, we find that near the point of full polarization $H_c$, the thermodynamic compressibility of the system experiences a jump with the subleading $(H_c-H)^{1/2}$ dependence on the magnetic field. Also, the magnetization has a cusp with the dependence of the type $(H-H_c) + (H_c-H)^{3/2}$ at $H<H_c$.

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G. Zala, B. N. Narozhny, I. L. Aleiner, Vladimir I. Fal'ko. 2003-08-04. Two dimensional electron gas near full polarization. https://doi.org/10.1103/physrevb.69.075306

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