By Philip W Anderson
Those lecture notes represent a direction on a couple of primary options of good kingdom physics: type of solids; band conception; the advancements in one-electron band thought with the presence of perturbation; potent Hamiltonian concept; straightforward excitations and many of the kinds of collective straightforward excitation; the Fermi liquid; ferromagnetic spin waves; the antiferromagnetic spin wave; and the speculation of damaged symmetry.
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Extra resources for Concepts in solids: lectures on the theory of solids
1 When temperature is increased even further, thermal motion completely overcomes binding forces, and the liquid vaporizes. In substances built up of large nonspherical molecules transition from solid to liquid phase may not occur in a single step but through intermediate, socalled mesomorphic phases. In such phases substances are less rigid than in their solid phase; in many respects they are closer to liquids. A clear distinction from gases is oﬀered by the collective term condensed phases for the solid, mesomorphic, and liquid phases.
D. Landau12 (1937) showed that in one-dimensional systems short-range forces cannot give rise to such a long-range order: thermal ﬂuctuations are so strong that they will always destroy the order. This is the so-called Landau–Peierls instability. Thus, strictly speaking, the sequence of smectic layers cannot show long-range order. A quasi-long-range order can, nevertheless exist. Experiments have revealed that along the direction of the layers the periodicity in the variations of the pair-correlation function is not perfect: the periodic function is multiplied by a function that decreases with a temperature-dependent power of distance.
The system is homogeneous in the sense that the neighborhoods of any two equivalent atoms are identical no matter how far they are separated. The crystal is then said to possess long-range order. In such cases atomic densities show strong correlations even for large spatial and temporal separations. At ﬁnite (nonzero) temperatures positions are always slightly smeared out by thermal motion, thus correlations are reduced but they are not destroyed. Long-range order is preserved in the crystal up to the melting point.