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Vitaly Lazarevich Ginzburg and Lev Landau applied an order parameter description to superconductivity in 1950. A spatially varying complex amplitude extends the fixed-amplitude description of the London equations. Their initial charge assumption preceded the later identification of the universal pair charge.^[ref]

Consider the following isotropic, local SI Helmholtz free energy model near a continuous superconducting transition temperature:Here $\beta >0$, $m_{\ast }>0$ is a phenomenological mass parameter, and $q=-2e$ fixes the electron-pair convention. The uniform superconducting minimum for $\alpha <0$ has $|{\psi }_0{|}^2=-\alpha /\beta$. The gradient term penalizes changes of the amplitude and the gauge-invariant quantum phase; the magnetic term penalizes magnetic field penetration. The gauge-coupling sign in Ginzburg-Landau superconductivity keeps the electric current and field equation consistent. This model omits material anisotropy, microscopic nonlocality and critical fluctuations.

Vitaly Ginzburg and Lev Landau described superconductivity through a spatially varying complex order parameter coupled to an electromagnetic vector potential. Their Ginzburg-Landau theory balances the cost of changing the order parameter with magnetic-field energy and the tendency to form a superconducting state. It predicts characteristic coherence and penetration lengths and supports analysis of surfaces, currents and nonuniform states. The theory is phenomenological: it can organize measurable behavior near a transition without first deriving the microscopic pairing interaction.^[ref]

A physicist who headed the Lebedev institute’s theoretical physics department from 1971 to 1988.^[ref]