phenomenon

magnetic superconductivity coupling

Interplay between magnetic order and superconductivity, often studied in unconventional superconductors.
37 related articles · 4 formulas

Description

Magnetic superconductivity coupling refers to the intricate relationship between magnetic order and superconductivity—two phenomena that were long considered mutually exclusive. In unconventional superconductors, such as high-temperature cuprates or iron-based superconductors, magnetism and superconductivity often coexist or compete, and understanding their interplay is central to deciphering the mechanism of high-temperature superconductivity.

History

The concept emerged in the 1980s with the discovery of high-temperature superconductivity in cuprates, where antiferromagnetic order was found adjacent to the superconducting phase. Since then, it has been a central theme in condensed matter physics, with many experiments probing the coexistence and competition of these orders.

How it works

In conventional superconductors, electrons pair up via lattice vibrations (phonons). In unconventional ones, magnetic fluctuations are believed to mediate the pairing. The magnetic order can either suppress superconductivity by breaking Cooper pairs or, in some cases, coexist with it in spatially separated regions or in a uniform microscopic state. The balance between these phases is controlled by parameters like pressure, doping, and temperature, as seen in the title 'Pressure separates superconductivity and charge order'.

In practice

Understanding this coupling is key to designing materials with higher superconducting transition temperatures, which would enable lossless power transmission, powerful magnets, and quantum computing components.

Fun fact

In some iron-based superconductors, the magnetic order and superconductivity can actually coexist in the same crystal, with the magnetic moments forming a spin-density wave that does not destroy the superconducting pairs.

Concept graph →

Formulas

$$J(\theta) \propto \cos(2\theta)$$
Exchange coupling varies with angle between magnetic moments.
What is in the formula
\thetavariableAngle between the magnetic moments of two interacting spins — angle radian
JvariableExchange coupling strength between the two magnetic moments — exchange coupling joule
j(θ)\approxj_0\cos(2θ) · 2606.28458
$$\Delta(\mathbf{k}) \propto k_x^2 - k_y^2$$
Order parameter symmetry with nodes along crystal axes.
What is in the formula
\Delta(\mathbf{k})variableSuperconducting gap as a function of wavevector — superconducting gap joule
k_xvariableWavevector component along x-axis — wavevector component reciprocal metre
k_yvariableWavevector component along y-axis — wavevector component reciprocal metre
δ({k})\proptok_xk_y · 2606.29140
$$\mathrm{TMR} = \frac{G_{\mathrm{P}} - G_{\mathrm{AP}}}{G_{\mathrm{AP}}} \times 100\%$$
Resistance change between parallel and antiparallel magnetic states.
What is in the formula
G_{\mathrm{P}}variableConductance when magnetic layers are parallel — conductance siemens
G_{\mathrm{AP}}variableConductance when magnetic layers are antiparallel — conductance siemens
{tmr}=\frac{g_{{pc}}-g_{{apc}}}{g_{{apc}}}*100\% · 2607.03908
$$\nu(g_N) = \frac{1}{2} + \sqrt{\frac{1}{4} + \frac{a_0}{g_N}}$$
MOND function interpolating between Newtonian and deep-MOND regimes.
What is in the formula
g_NvariableNewtonian gravitational acceleration — acceleration metre per second squared
νvariableMOND interpolation function
a_0constantCharacteristic acceleration scale of Modified Newtonian Dynamics, below which deviations from Newtonian gravity appear. — mond acceleration scale = 1.2e-10 metre per second squared
ν(g_n)=\frac{1}{2}+\sqrt{\frac{1}{4}+\frac{a_0}{g_n}} · 2607.05502v1

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