phenomenon

magnetic superconductivity

Superconductivity influenced or modulated by magnetic fields or ordering.
25 related articles · 6 formulas

Description

Magnetic superconductivity refers to the interplay between superconductivity and magnetism, where magnetic fields or magnetic ordering influence the superconducting state. In conventional superconductors, magnetism is destructive: even a modest magnetic field destroys superconductivity by breaking Cooper pairs. However, in certain exotic superconductors, magnetism and superconductivity can coexist, and magnetic fluctuations can even mediate the pairing mechanism. This is particularly relevant in high-temperature superconductors, iron-based superconductors, and heavy-fermion systems, where magnetic correlations are believed to play a key role in enabling superconductivity at relatively high temperatures.

History

The coexistence of superconductivity and magnetism was first observed in the 1970s in ternary rare-earth compounds like ErRh₄B₄. The theoretical framework for magnetic-mediated pairing was developed in the 1980s, particularly for heavy-fermion superconductors, and gained prominence with the discovery of iron-based superconductors in 2008.

How it works

In conventional superconductors, electrons form Cooper pairs via phonon exchange, and magnetic fields align electron spins, breaking these pairs. In unconventional superconductors, the pairing may be mediated by spin fluctuations — magnetic excitations that can glue electrons together in a spin-singlet or spin-triplet state. Magnetic ordering can also create a spatially modulated superconducting state, such as the Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) phase, where Cooper pairs carry nonzero momentum. Additionally, in heterostructures, magnetic layers can induce superconductivity in adjacent non-superconducting materials via the proximity effect, or control the superconducting phase through spin-orbit coupling.

In practice

Understanding magnetic superconductivity is key to designing materials with higher critical temperatures, which could enable lossless power transmission, more efficient MRI machines, and quantum computing components that operate at less extreme cooling requirements.

Fun fact

In some iron-based superconductors, the superconducting transition temperature actually increases when a magnetic field is applied, a phenomenon opposite to conventional behavior and a direct signature of magnetic pairing mechanisms.

Concept graph →

Formulas

$$\sigma = \frac{1}{4\pi}$$
Universal ohmic conductivity in Gaussian units.
What is in the formula
σvariableOhmic conductivity — electrical conductivity siemens per metre
σ_{xx}=\frac{1}{4π} · 2607.10561
$$B_{\mathrm{sat}} = v_{\mathrm{rms}} \sqrt{4\pi f_{\mathrm{sat}} \rho}$$
Saturated magnetic field strength scales with turbulent velocity and density.
What is in the formula
B_{\mathrm{sat}}variablesaturated magnetic field strength — magnetic flux density tesla
v_{\mathrm{rms}}variableroot-mean-square turbulent velocity — velocity metre per second
f_{\mathrm{sat}}variablefraction of turbulent energy converted to magnetic energy
\rhovariablemass density of the medium — mass density kilogram per cubic metre
\sqrt{}operatortakes the square root of the argument — square root
b_{{sat}}=v_{{rms}}\sqrt{4πf_{{sat}}ρ_0} · 2607.21990v1
$$\tau \propto B^2$$
Torque on a magnetic dipole is proportional to the square of the magnetic field strength.
What is in the formula
τvariableTorque on the magnetic dipole — torque newton metre
BvariableMagnetic field strength — magnetic field strength tesla
τ\proptob^2 · 2601.14381
$$\tau = -\frac{1}{2} \tanh\left(\frac{\beta}{2} D_{\tau}\right)$$
Equilibrium order parameter determined self-consistently via effective field.
What is in the formula
\tauvariableOrder parameter (e.g., magnetization) — order parameter
\betavariableInverse temperature (1/k_B T) — inverse temperature per joule
D_{\tau}variableEffective field (mean field) acting on the order parameter — effective field joule
\tanhoperatorMaps real numbers to (-1,1), typical for spin-1/2 systems — hyperbolic tangent
τ_0=-\frac{1}{2}\tanh(\frac{β_0}{2}d_{τ0}) · 2606.25506
$$p_{\max} = \frac{e B L}{c}$$
Maximum momentum a charged particle can gain in a magnetic field of scale L.
What is in the formula
p_maxvariablemaximum momentum — momentum kilogram metre per second
evariableelectric charge — electric charge coulomb
Bvariablemagnetic field strength — magnetic field tesla
Lvariablecharacteristic length scale — length metre
cconstantspeed of light in vacuum — speed of light = 299792458 metre per second
p_h=\frac{e\langleb\rangleλ}{c} · 2606.05286v1
$$\mathrm{TMR} = \frac{G_{\mathrm{P}} - G_{\mathrm{AP}}}{G_{\mathrm{AP}}} \times 100\%$$
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

Related articles · 25

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A Magnetic Knob for a Superconducting Orchestra
A superconductor is like an orchestra that plays without a single wrong note, until the conductor turns a tuning knob. In this new work, that knob turned out to be the magnetic history of nickel contacts.
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Light That Goes the Wrong Way
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A superconductor is like a perfect electron dance: electrons move in pairs without losing energy, like dancers who never miss a beat. But add a few magnetic impurities, and strangers crash into the dance, disrupting the synchronized motion. The temperature at which this dance begins drops.
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Ordinary magnetic measurements only see the surface of a superconductor, where barriers and viscous flows of magnetic field get in the way. Inside, in the so-called intermediate state, superconducting and normal domains coexist, separated by thin walls. These walls can oscillate, but hearing them directly has been difficult.
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A Magnetic Vortex That Conducts Its Own Orchestra
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Oscillations in a Wireless Superconductor
An ordinary superconductor loses resistance when cooled, and current flows through it without loss. But in ultrathin films, things are different: the material fluctuates between normal and superconducting states, and in this transition zone, strange resistance waves emerge. Resistance rises and falls as if someone were turning a volume knob.
Superconductivity2026-02-081 minarXiv:2602.08038express
Two Superconductors in One Crystal
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A thin superconducting wire, cooled to near absolute zero, can sense a single particle of light. Such detectors are indispensable for quantum computing and secure communication, but their temperament is spoiled by disorder — random irregularities and impurities that cannot be completely removed. Instead of fighting disorder, physicists decided to tame it.
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Magnetic Texture Controls Superconductivity in a Nanowire
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Superconductivity2026-01-202 minarXiv:2601.14500express
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Pressure Separates Superconductivity and Charge Order
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