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
B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Nauky Ave., Kharkiv 61103, Ukraine
Max-Planck-Institut für Physik komplexer Systeme, 38 Nöthnitzer Str., D-01187, Dresden, Germany
Received May 15, 2018, published online October 26, 2018
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.