Exactly solvable spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins

TL;DR

This paper provides an exact solution for a spin-1 Ising-Heisenberg diamond chain with second-neighbor interactions, revealing new ground states and thermal behaviors, enhancing understanding of quantum spin systems.

Contribution

It introduces an exact analytical solution for the model with second-neighbor interactions, identifying new ground states and analyzing thermodynamic properties.

Findings

Discovery of three novel ground states with broken translational symmetry

Second-neighbor interaction does not increase magnetization plateaus

Specific heat exhibits single- or double-peak thermal structures

Abstract

The spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between the nodal spins is rigorously solved using the transfer-matrix method. Exact results for the ground state, magnetization process and specific heat are presented and discussed in particular. It is shown that the further-neighbor interaction between the nodal spins gives rise to three novel ground states with a translationally broken symmetry, but at the same time, it does not increases the total number of intermediate plateaus in a zero-temperature magnetization curve compared with the simplified model without this interaction term. The zero-field specific heat displays interesting thermal dependencies with a single- or double-peak structure.