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Renormalization Group Theory - Impact on Experimental Magnetism (Paperback, 2010 ed.)
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Renormalization Group Theory - Impact on Experimental Magnetism (Paperback, 2010 ed.)
Series: Springer Series in Materials Science, 127
Expected to ship within 10 - 15 working days
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Spin wave theory of magnetism and BCS theory of superconductivity
are typical theories of the time before renormalization group (RG)
theory. The two theories consider atomistic interactions only and
ignore the energy degrees of freedom of the continuous (infinite)
solid. Since the pioneering work of Kenneth G. Wilson (Nobel Prize
of physics in 1982) we know that the continuous solid is
characterized by a particular symmetry: invariance with respect to
transformations of the length scale. Associated with this symmetry
are particular field particles with characteristic excitation
spectra. In diamagnetic solids these are the well known Debye
bosons. This book reviews experimental work on solid state physics
of the last five decades and shows in a phenomenological way that
the dynamics of ordered magnets and conventional superconductors is
controlled by the field particles of the infinite solid and not by
magnons and Cooper pairs, respectively. In the case of ordered
magnets the relevant field particles are called GSW bosons after
Goldstone, Salam and Weinberg and in the case of superconductors
the relevant field particles are called SC bosons. One can imagine
these bosons as magnetic density waves or charge density waves,
respectively. Crossover from atomistic exchange interactions to the
excitations of the infinite solid occurs because the GSW bosons
have generally lower excitation energies than the atomistic
magnons. According to the principle of relevance the dynamics is
governed by the excitations with the lowest energy. The non
relevant atomistic interactions with higher energy are practically
unimportant for the dynamics.
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