By Philip W Anderson
Those lecture notes represent a path on a couple of valuable thoughts of sturdy country physics: class of solids; band thought; the advancements in one-electron band idea with the presence of perturbation; potent Hamiltonian conception; simple excitations and a few of the forms of collective ordinary excitation; the Fermi liquid; ferromagnetic spin waves; the antiferromagnetic spin wave; and the speculation of damaged symmetry.
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Extra info for Concepts in solids: lectures on the theory of solids
36 Exactly Solved Models I have also spent time in locating Potts critical points for other lattices. These efforts will be described in Chapter 6. Potts Partition Function Zeroes One way to gain insight into lattice models is to look into the partition function zeroes (see page 29). In the case of the Potts model, numerous authors have studied its partition function zeroes since the 1980s, but failed to draw definite conclusions. I was visiting the Institute of Physics at the Academia Sinica in Taipei in 1994 where Chi-Ning Chen and Chin-Kun Hu had developed a fast algorithm for simulating the Potts model (Chen and Hu, 1991).
H. and F. Y. Wu (1991), P19, The 0(3) gauge transformation and 3-state vertex models, J. Phys. A 24, L503-L507. Hilbert, D. (1890), Math. Ann. 36, 473. Jacobsen, J. L. (1997), Comment on "Duality relation for Potts correlation functions" by Wu, Phys. Lett. A 223, 489-492. Kelland, S. B. (1974a), Twenty-vertex model on a triangular lattice, Aust. J. Phys. 27, 813-829. Kelland, S. B. (1974b), Ferroelectric ice model on a triangular lattice, J. Phys. A 7, 1907-1912. King, C. and F. Y. Wu (2002), New correlation duality relations for the planar Potts model, J.
1982), Private communication to the author. Temperley, H. N. V. and E. H. Lieb (1971), Relation between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattice: some exact results for the 'percolation' problem, Proc. Roy. Soc. A 322, 251-280. Wu, F. Y. (1982), P28, The Potts model, Rev. Mod. Phys. 54, 235-268. Wu, F. Y. (1984), P29, Potts model of magnetism, J. Appl. Phys. 55, 2421-2425. Wu, F. Y. and R. K. P. Zia, (1981), Critical point of the triangular Potts model with two-and three-site interactions, J.
Concepts in solids: lectures on the theory of solids by Philip W Anderson