Series expansion analysis of a tetrahedral cluster spin chain

TL;DR

This paper uses series expansion methods to analyze the magnetic properties and phase diagram of a frustrated tetrahedral spin-1/2 chain, revealing multiple quantum phases and validating results with other techniques.

Contribution

It introduces a series expansion approach to study the phase diagram of a tetrahedral spin chain, identifying multiple quantum phases and comparing with other methods.

Findings

Identification of a quantum phase diagram with multiple phases

Agreement with DMRG, exact diagonalization, and bond-operator results

Analysis of ground state energy and triplet dispersion evolution

Abstract

Using series expansion by continuous unitary transformations we study the magnetic properties of a frustrated tetrahedral spin-1/2 chain. Starting from the limit of isolated tetrahedra we analyze the evolution of the ground state energy and the elementary triplet dispersion as a function of the inter-tetrahedral coupling. The quantum phase diagram is evaluated and is shown to incorporate a singlet product, a dimer, and a Haldane phase. Comparison of our results with those from several other techniques, such as density matrix renormalization group, exact diagonalization and bond-operator theory are provided and convincing agreement is found.