Field Induced Chiral Soliton Phase in the Kitaev Spin Chain

Autor: Sørensen, Erik S., Gordon, Jacob, Riddell, Jonathon, Wang, Tianyi, Kee, Hae-Young
Rok vydání: 2022
Předmět:
Zdroj: Phys. Rev. Research 5, L012027 (2023)
Druh dokumentu: Working Paper
DOI: 10.1103/PhysRevResearch.5.L012027
Popis: The bond-dependent Ising interaction present in the Kitaev model has attracted considerable attention. The appearance of an unexpected intermediate phase under a magnetic field is particularly intriguing, and one may wonder if a similar phase occurs in the Kitaev spin chain with alternating $x$- and $y$-bond Ising interactions. Previous studies have focused on a transverse field, $h_z$, and reported a direct transition to the polarized state. Here, we investigate phases with arbitrary angle of two longitudinal fields, $h_x$ and $h_y$. For a magnetic field applied along the diagonal, $h_x$=$h_y$, the chain remains gapless up to a critical field $h^{c_1}_{xy}$. Surprisingly, above $h^{c1}_{xy}$ it enters an unusual intermediate phase before reaching the polarized state at $h^{c_2}_{xy}$. This phase is characterized by a staggered vector chirality and for periodic boundary conditions, a two-fold degeneracy with a finite gap. For open boundary systems the ground-state exhibits a single soliton, lowering the energy, and gapless excitations. However, the corresponding anti-soliton raises the energy sufficiently that a gap appears for soliton and anti-soliton pairs in periodic systems. An intuitive variational picture is developed describing the soliton phase.
Comment: 6 pages, 5 figures
Databáze: arXiv