Zhidkost' Lattinzhera s prityazheniem i odnoy primes'yu: tochnoe reshenie

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Abstract

The exact solution to the problem of scattering of one-dimensional attracted fermions on a point impurity, which exists in the Kane–Fisher model is analyzed for a Luttinger parameter equal to 2. The expression obtained for the frequency dependence of the coefficient of fermion reflection from an impurity demonstrates impossibility of extrapolation of results for a relatively weak fermion–fermion interaction to the range of coupling constants on the order of unity.

About the authors

V. V Afonin

Ioffe Institute, Russian Academy of Sciences

Author for correspondence.
Email: vasili.afonin@mail.ioffe.ru
194021, St. Petersburg, Russia

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