Stochastic Cluster Series expansion for quantum spin systems

TL;DR

This paper introduces a cluster-variant of the Stochastic Series expansion method, improving efficiency for quantum spin systems with longer-range interactions at low temperatures, demonstrated through conductance calculations.

Contribution

The paper develops a new cluster-variant of the SSE method, enhancing computational efficiency for systems with longer-range interactions.

Findings

SCSE outperforms standard SSE at low temperatures for certain systems

Efficient calculation of T=0 conductance in a linear chain with next nearest neighbor interactions

Demonstrates applicability to quantum spin systems with complex interactions

Abstract

In this paper we develop a cluster-variant of the Stochastic Series expansion method (SCSE). For certain systems with longer-range interactions the SCSE is considerably more efficient than the standard implementation of the Stochastic Series Expansion (SSE), at low temperatures. As an application of this method we calculated the T=0-conductance for a linear chain with a (diagonal) next nearest neighbor interaction.