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Felix Bloch described magnetic domain walls and spin waves

Felix Bloch described the boundaries between magnetic domains, now called Bloch walls, and proposed spin waves, partly in a paper written in hospital after a climbing accident.

Felix Bloch
Felix Bloch · 1905–1983
Person
Felix Bloch
Lived
1905–1983
Field
Physics
From
Swiss-American

The story

After finishing his doctorate in Leipzig in 1928, Felix Bloch spent several years moving between the great centres of European physics, as young theorists did at the time. He was an assistant to Wolfgang Pauli in Zurich, a fellow with Hendrik Kramers in Utrecht and Adriaan Fokker in Haarlem, and then Werner Heisenberg's assistant back in Leipzig. A central puzzle of the day was ferromagnetism, the property that makes iron magnetic. Heisenberg had shown that it arises from the quantum exchange interaction between electrons, and Bloch set out to put that idea on a firmer footing.

In Utrecht, where he arrived as a Lorentz Foundation fellow in the autumn of 1929, Bloch came up with the idea of spin waves. He pictured flipped atomic spins travelling through the lattice as a wave, a very novel idea at the time. With it he worked out how the magnetisation of a ferromagnet falls as the temperature rises at low temperatures. John Slater had a similar idea but did not connect it to ferromagnetism. Robert Hofstadter's memoir for the National Academy of Sciences calls spin waves an important precursor of quasi-particle theories, which describe collective excitations in solids as if they were particles.

After the academic year 1930 to 1931 with Heisenberg, Bloch wrote his habilitation thesis in Leipzig, a monumental paper on exchange interactions and residual magnetisation in ferromagnets. Remarkably, he wrote it while in hospital after an injury suffered while climbing in the Alps with Egon Bretscher. One of its achievements concerned the walls between magnetic domains, the regions inside a magnet where atomic magnets all point one way. Experiments by R. Becker had shown that magnetisation proceeds as these domains change. Bloch worked out the thickness and structure of the boundaries, showing that the magnetisation turns gradually over a few hundred angstroms rather than flipping abruptly. These boundaries are now called Bloch walls.

Historians of solid state physics have described the paper as presenting a wealth of formalism that became part of the fabric of modern condensed matter theory, bridging the quantum theory of ferromagnetism in the 1930s and later theories of many-particle systems. The gradual turning Bloch predicted was later observed directly in experiments.

Both ideas remain basic vocabulary in magnetism. Spin waves are a standard way of describing how magnetic order is disturbed in a solid, and the Bloch wall is one of the two main types of domain wall that physicists use to explain how bulk magnetic materials, from transformer cores to permanent magnets, become magnetised.

Why it matters

Bloch walls and spin waves are basic concepts in magnetism, essential for magnetic materials used in data storage, motors, sensors and emerging spin-based electronics.

About Felix Bloch

Swiss-born physicist who laid the quantum foundations of solid-state physics, discovered nuclear magnetic resonance – the basis of MRI – and became CERN’s first director-general.

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Felix Bloch
1905–1983 · Physics
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