Dressed S matrices in models with long-range interactions.
نویسنده
چکیده
The dressed Scattering matrix describing scattering of quasiparticles in various models with long-range interactions is evaluated by means of Korepin’s method. For models with 1 sin2(r) -interactions the S-matrix is found to be a momentum-independent phase, which clearly demonstrates the ideal gas character of the quasiparticles in such models. We then determine S-matrices for some models with 1 sinh(r) -interaction and find them to be in general nontrivial. For the 1 r2 -limit of the 1 sinh(r) -interaction we recover trivial S-matrices, thus exhibiting a crossover from interacting to noninteracting quasiparticles. The relation of the S-matrix to fractional statistics is discussed. Pacs: 75.10.Jm , 05.50.q ♭e-mail: [email protected] 1
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ورودعنوان ژورنال:
- Physical review. B, Condensed matter
دوره 51 19 شماره
صفحات -
تاریخ انتشار 1995