# Ferrimagnetism in the Spin-1/2 Heisenberg Antiferromagnet on a Distorted Triangular Lattice

## TL;DR

This study investigates the ground state of a spin-1/2 Heisenberg antiferromagnet on a distorted triangular lattice, revealing intermediate states with spontaneous magnetization between known magnetic configurations.

## Contribution

It introduces a numerical approach to explore how lattice distortion affects magnetic states, uncovering new intermediate ferrimagnetic phases.

## Key findings

- Discovery of intermediate states with partial magnetization.
- Identification of a continuous transition between known magnetic phases.
- Observation of spontaneous magnetization smaller than one-third saturation.

## Abstract

The ground state of the spin-$1/2$ Heisenberg antiferromagnet on a distorted triangular lattice is studied using a numerical-diagonalization method. The network of interactions is the $\sqrt{3}\times\sqrt{3}$ type; the interactions are continuously controlled between the undistorted triangular lattice and the dice lattice. We find new states between the nonmagnetic 120-degree-structured state of the undistorted triangular case and the up-up-down state of the dice case. The intermediate states show spontaneous magnetizations that are smaller than one third of the saturated magntization corresponding to the up-up-down state.