Bound state of a hole and a triplet spin in the $t_1$-$t_2$-$J_1$-$J_2$ model

Abstract

We show that a hole and a triplet spin form a bound state in a nearly half-filled band of the one- and two-dimensional $t_1$-$t_2$-$J_1$-$J_2$ models. Numerical calculation indicates that the bound state is a spatially small object and moves as a composite particle with spin 1 and charge $+e$ in the spin-gapped background. Two bound states repulsively interact with each other in a short distance and move independently as long as they keep their distance. If a finite density of bound states behave as bosons, the system undergoes the Bose-Einstein condensation which means a superconductivity with charge $+e$.

10 pages, 13 figures

References in corpus (4)

• Realization of Bose-Einstein condensation of dilute magnons in TlCuCl${}_3$
• Spontaneous plaquette dimerization in the $J_1-J_2$ Heisenberg model
• Nonlinear Sigma model method for the J1-J2 Heisenberg model: disordered ground state with plaquette symmetry
• Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping

Cited by in corpus (2)

• Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets
• Ferromagnetic clouds caused by hole motion in a one-dimensional $t$-$J$ mode