Antikink dispersions of the J1–J2 sawtooth spin-1/2 anisotropic Heisenberg antiferromagnetic chain

Abstract

Antikink dispersion of the asymmetric J 1 -J 2 sawtooth spin-1/2 anisotropic Heisenberg antiferromagnetic chain has been derived. Value of spin-gap is obtained by estimating the minimum of dispersion relation variationally. The exact doubly-degenerate ground state energy has been derived at the symmetric point, J 1 = J 2 , for the whole anisotropic regime. Analytic form of dispersion relations of three different antikink states is obtained and their validity in the parameter space is discussed. The value of spin-gap, specific heat and susceptibility are estimated numerically by diagonalizing the Hamiltonian for chains of finite length. The inherent frustration of this antiferromagnetic model leads to the appearance of additional peak at low-temperatures in the specific heat. * Electronic address: suso.phy.

Enhancement of magnetization plateaus in low-dimensional spin systems

“…In this paper, we primarily focus on the sawtooth chain, but we keep the analysis as general as possible to simultaneously treat the frustrated chain and discuss the similarities as well as the differences between the two models. Although the sawtooth chain, as well as variants of it, have been studied theoretically early on [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], they remain of great interest today [45][46][47][48][49][50][51][52][53]. From an experimental point of view, the situation remains challenging, with only a limited number of compounds being reported up to today to materialize dominant magnetic interactions in a sawtooth pattern.…”

Enhancement of magnetization plateaus in low dimensional spin systems

“…In this work, we primarily focus on the sawtooth chain, but we keep the analysis as general as possible to simultaneously treat the frustrated chain and discuss the similarities as well as the differences between the two models. Although the sawtooth chain, as well as variants of it, have been studied theoretically early on [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] they remain of great interest until today [40][41][42][43][44][45]. From an experimental point of view, the situation remains challenging, with only a limited number of compounds being reported until this day to materialize dominant magnetic interactions in a sawtooth pattern.…”