11 October 1977
The Royal Swedish Academy of Sciences has decided to
award the 1977 Nobel Prize for physics to be shared equally
between Dr Philip W. Anderson, Bell Telephone
Laboratories, Murray Hill, New Jersey, USA, Professor Sir
Nevill F. Mott, Cambridge University, Cambridge, England and
Professor John H. van Vleck, Harvard University,
Cambridge, Massachusetts, USA, for their fundamental
theoretical investigations of the electronic structure of
magnetic and disordered systems.
The three prize-winners are theoreticians within the field of
solid state physics - the branch of physics which lies behind
essential parts of the current technical development,
particularly in electronics. All three have added many new basic
concepts to the theory, which have made it possible to understand
new experimental results. The distance between fundamental
results in basic research and technical applications is as a rule
comparatively short in this field. As an example, one can mention
that van Vleck's ideas have played a central role for the
development of the laser, whereas the technical development of
amorphous materials like glass, which is now going on, would be
unthinkable without Mott's and Anderson's contributions to the
fundamental theory.
van Vleck has been called "the father of modern magnetism". He
has developed methods which make it possible to understand how a
foreign ion or atom behaves in a crystal. At first the electrons
of such a perturbing ton feel the influence of the electric field
- the crystal field - which is generated by the atomic nuclei and
the electrons of the host crystal. Through its electrons, the
perturbing ion can also enter into chemical bonding with its
environment which is usually called the ligands. van Vleck was
the first to develop the crystal field theory as well as the
ligand field theory to describe such phenomena in greater detail.
These quantum chemistry methods have now almost become routine
tools, particularly within inorganic chemistry with important
extensions to molecular biology, medicine and geology.
Another important part of van Vleck's work deals with the
Jahn-Teller effect, which is associated with an interaction
between the electrons and the positions and mottoes of the atomic
nuclei. A perturbing atom in a crystal can sometimes replace a
host atom without essential changes in the surrounding lattice.
Under certain circumstances the electronic structure of the
perturbing atom is so incompatible with the symmetry of the
environment that it leads to a local distortion of the lattice.
This so-called Jahn-Teller effect was predicted in the 1930's
but, only during the last decade, has one essentially through van
Vleck's work succeeded in understanding this phenomenon in
greater detail and in realizing its experimental
importance.
van Vleck was the first to point out the essential importance of
electron correlation - the interaction between the motions of the
electrons - for the appearance o local magnetic moments, i. e.
"mini-magnets" in materials. His former student P.W. Anderson,
has further developed these ideas and succeeded in explaining how
local magnetic moments can occur in metals, as for instance
copper and silver, which in pure form are not magnetic at all.
These phenomena can be quit complicated - the strength of the
"mini-magnets" can, for instance, change abruptly when the
concentration of the perturbing ion varies only a few percent. In
a simple quantum mechanical model, Anderson has caught all the
aspects which seem to be of decisive importance for understanding
what happens in such situations
Mott and Anderson have separately given essential contributions
to our knowledge of disordered systems. In crystallic materials,
the atoms form regular lattices, which greatly facilitate the
theoretical treatment. In disordered materials, this regularity
is lacking - either so that the components of an alloy are placed
at random in the regular lattice positions, or so that there is
no lattice whatsoever as for instance in glass. It is exceedingly
difficult to treat such materials theoretically. In 1958,
Anderson published a paper in which he showed under what
conditions an electron in a disordered system can either move
through the system as a whole, or be more or less tied to a
specific position as a localized electron. It was Mott who
several years later called the attention of particularly the
expert mental physicists to this paper, which has become one of
the cornerstones in our understanding of, among other things, the
electric conductivity in disordered systems. Mott and Anderson
have in a series of papers created a multitude of new concepts
which have turned out to be central for the understanding of
disordered materials. Their ideas have to a large extent been
experimentally verified and they have in tints way laid the
foundation for important technical developments.
The electric properties of crystals are described by the
so-called band theory which gives a classification with respect
to the conductivity in metals, semiconductors, and insulators.
This theory is not universally valid, however, and a famous
exception is provided by nickel oxide, which according to band
theory ought to be a metallic conductor but in reality is an
insulator. Mott has shown how this can be explained by means of a
refined theory which takes the electron-electron interaction into
account. This led also to the study of the so-called Mott
transitions, by which certain metals can become insulators when
the electronic density decreases by separating the atoms from
each other in some convenient way.
All the prize winners have been active in large domains of
physics where they have given highly valuable contributions. This
year's prize puts the emphasis - on their work concerning
electron-electron interaction and the coupling between the
motions of the electrons and the atomic nuclei in magnetic and
disordered materials, where they - particularly in the treatment
of and the emphasis on localized electronic states - have gone
far beyond the conventional theories, with direct importance for
experiments and technology.