Fizika Nizkikh Temperatur: Volume 44, Number 12 (December 2018), p. 1588-1597    ( to contents , go back )

Correlated electrons in a zig-zag chain with the spin-orbit interaction: Exact solution

A.A. Zvyagin

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Nauky Ave., Kharkiv 61103, Ukraine
V.N. Karazin Kharkiv National University, 4 Svobody sq., Kharkiv 61002, Ukraine

Max-Planck-Institut für Physik komplexer Systeme, 38 Nöthnitzer Str., D-01187, Dresden, Germany
E-mail: zvyagin@ilt.kharkov.ua

Received May 15, 2018, published online October 26, 2018

Abstract

The correlated electron model on a geometrically frustrated one-dimensional lattice with the spin-orbit coupling is studied. The exact solution is obtained using the Bethe ansatz. Zig-zag interaction can produce incommensurate charge and spin structures for large enough frustrating interactions. The spin-orbit coupling yields the behavior of correlation functions, reminiscent of the Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) features of real type-II superconductors.

Key words: integrable correlated electron model, geometrical frustration, spin-orbit coupling.

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