Magnetoresistance

Everyday term

In plain words

A change in electrical resistance when a magnetic field is applied. It is how the read head of a hard disk senses its bits, and in some layered magnets the change is enormous – a stack can go from barely conducting to conducting – which is how the magnetic state of a few atomic layers is read out electrically.

Going deeper

Left: two stacks of four magnetic layers. In the first, neighbouring layers point in opposite directions and the current is blocked; in the second, a magnetic field has aligned them all and the current flows. Right: resistance on a logarithmic scale against magnetic field, dropping in sharp steps from the opposed state to the aligned one. a stack of magnetic layers as a filter layers opposed current blocked field aligns them current flows each layer passes one spin and stops the other, so the stack reads its own magnetic order resistance against magnetic field resistance (log scale) magnetic field layers opposed all aligned the two states differ by orders of magnitude
When layers of a magnetic stack point in opposite directions, each one blocks the spin the other passes, and the resistance is high. A field that aligns them opens the path – in CrI3 stacks the two states differ by orders of magnitude, which is how magnetic order in a few atomic layers is read electrically.

Several effects with one name

Any change of resistance in a magnetic field is magnetoresistance, but the mechanisms differ enormously in size. Ordinary orbital magnetoresistance, from the curving of carrier paths, is positive and grows with . It is usually small, but in clean with nearly equal numbers of it becomes enormous – millions of percent in WTe2. magnetoresistance, a few percent in metals, depends on the angle between current and magnetisation.

The large effects come from -dependent transport through more than one magnetic layer. Giant magnetoresistance, discovered in 1988 in Fe/Cr multilayers and recognised with the 2007 Nobel Prize, arises because electrons of one spin scatter less in a layer magnetised parallel to their spin. Tunnelling magnetoresistance, across an insulating barrier, works the same way through the spin-dependent and is the basis of magnetic memory.

Spin filters made of van der Waals magnets

A layered magnet such as CrI3 offers something the metallic multilayers could not: each atomic layer is itself a magnet, and in thin neighbouring layers couple antiferromagnetically. A tunnel junction with a of CrI3 as the barrier therefore passes current very differently depending on how many layers are aligned, because each layer filters one spin.

As a magnetic field flips the layers one at a time, the resistance falls in steps, by factors that can reach thousands or more. This turned a magnetic state that is nearly invisible to into a simple transport measurement, and it made layer-by-layer magnetic order – including electrical switching of it by – accessible in devices.

Reading the numbers

Magnetoresistance is quoted as a ratio, but with two different conventions: the change divided by the low-resistance value, or by the high-resistance value. The first can exceed 100 % without difficulty and is the source of headline figures in the millions of percent; the second cannot exceed 100 %. Comparisons need to know which was used, along with the temperature and bias, since tunnelling magnetoresistance falls steeply with both.

For junctions there are further caveats: pinholes short the barrier, the measured switching fields depend on sweep rate and history, and most of these magnets order only well below room temperature – so a spectacular ratio at 2 K says little about a device at 300 K.

For specialists

The field dependence of . Ordinary orbital magnetoresistance is positive and usually small, though enormous in compensated semimetals such as WTe2; giant and tunnelling magnetoresistance come from spin-dependent transport across magnetic layers; colossal magnetoresistance from a field-driven change of electronic state. In a few layers of CrI3 act as a spin filter whose resistance changes by orders of magnitude as adjacent layers align, which is how layer-by-layer magnetic order became measurable in transport.

Where this comes from

  1. Giant magnetoresistance of (001)Fe/(001)Cr magnetic superlattices Baibich et al. · Physical Review Letters 61, 2472 (1988) cited by 9,405
  2. Giant tunneling magnetoresistance in spin-filter van der Waals heterostructures Song et al. · Science 360, 1214 (2018) cited by 1,285
  3. One million percent tunnel magnetoresistance in a magnetic van der Waals heterostructure Kim et al. · Nano Letters 18, 4885 (2018)