Ferromagnetic clouds caused by hole motion in a one-dimensional $t$-$J$ mode

Abstract

The one-dimensional $t_1$-$t_2$-$J_1$-$J_2$ model is examined in the one-hole case, in which the total number of electrons is one less than the number of the lattice sites. The ground-state phase diagram includes a series of partial ferromagnetic phases, which are stacked in a regime of positive and small $J_1$. We find that the ground state in each of these partial ferromagnetic phases includes a ferromagnetic cloud, which is a multiple-spin bound state together with the hole. The ferromagnetic cloud is a large magnetic polaron with a heavy mass in a single-band electronic system and is supposedly formed as a result of Nagaoka ferromagnetism which locally works around the hole.

References in corpus (3)

• A dynamical mean-field theory study of Nagaoka ferromagnetism
• Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Effective approach to the Nagaoka regime of the two dimensional t-J model

Cited by in corpus (1)

• On the possibility of many-body localization in a doped Mott insulator