Spin Gaps in a Frustrated Heisenberg model for CaV$_4$O$_9$

TL;DR

This paper uses advanced DMRG techniques to study the two-dimensional spin-gapped system CaV$_4$O$_9$, achieving large lattice sizes and enabling thermodynamic limit extrapolation for the first time.

Contribution

It introduces significant improvements to DMRG algorithms, allowing large-scale 2D system analysis and providing new insights into the spin gaps of CaV$_4$O$_9$.

Findings

Successful large-lattice DMRG calculations for 2D systems.

First thermodynamic limit extrapolation for CaV$_4$O$_9$.

Enhanced DMRG algorithms for 2D systems.

Abstract

I report results of a density matrix renormalization group (DMRG) study of a model for the two dimensional spin-gapped system CaV$_4$O$_9$. This study represents the first time that DMRG has been used to study a two dimensional system on large lattices, in this case as large as $24\times 11$, allowing extrapolation to the thermodynamic limit. I present a substantial improvement to the DMRG algorithms which makes these calculations feasible.