Abstract:
The localization and propagation of excitations in the Ising model in a transverse field are studied. For the case of a long-range exchange potential, a calculation is made of the localization boundary and the relaxation rate of spin excitations in the paramagnetic phase. The results are compared with those of other authors.
Citation:
A. L. Burin, K. N. Kontor, L. A. Maksimov, “Localization and delocalization in the paramagnetic phase of the transverse Ising model”, TMF, 85:2 (1990), 302–312; Theoret. and Math. Phys., 85:2 (1990), 1223–1230
This publication is cited in the following 6 articles:
Alexander L. Burin, “Exact solution of the minimalist Stark many-body localization problem in terms of spin-pair hopping”, Phys. Rev. B, 105:18 (2022)
Giuseppe De Tomasi, “Algebraic many-body localization and its implications on information propagation”, Phys. Rev. B, 99:5 (2019)
Alexander Burin, Andrii Maksymov, Ma'ayan Schmidt, Il'ya Polishchuk, “Chaotic Dynamics in a Quantum Fermi–Pasta–Ulam Problem”, Entropy, 21:1 (2019), 51
I. V. Gornyi, A. D. Mirlin, D. G. Polyakov, A. L. Burin, “Spectral diffusion and scaling of many‐body delocalization transitions”, Annalen der Physik, 529:7 (2017)
Alexander L. Burin, “Localization in a random XY model with long-range interactions: Intermediate case between single-particle and many-body problems”, Phys. Rev. B, 92:10 (2015)
V. B. Kokshenev, A. S. T. Pires, “Lattice distortion effects within the generalized transverse Ising model”, Physica Status Solidi (b), 197:2 (1996), 333