Stochastic Cluster Series expansion for quantum spin systems

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.

5 pages, 7 figures

References in corpus (9)

• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• Cluster Algorithm for Vertex Models
• Evidence for ideal insulating/conducting state in a 1D integrable system
• Accessing the dynamics of large many-particle systems using Stochastic Series Expansion
• One-dimensional spinless fermion model with competing interactions beyond half-filling
• Quantum Monte Carlo simulation for the conductance of one-dimensional quantum spin systems
• Breakdown of Luttinger liquid state in one-dimensional frustrated spinless fermion model
• The metal-insulator transition in one dimension

Cited by in corpus (25)

• Valence Bond Solids and Their Quantum Melting in Hard-Core Bosons on the Kagome Lattice
• Unusual liquid state of hard-core bosons on the pyrochlore lattice
• Machine learning of quantum phase transitions
• Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
• Spin liquid phase in a $S=1/2$ quantum magnet on the kagome lattice
• Continuous easy-plane deconfined phase transition on the kagome lattice
• Efficient Quantum Monte Carlo simulations of highly frustrated magnets: the frustrated spin-1/2 ladder
• A striped supersolid phase and the search for deconfined quantum criticality in hard-core bosons on the triangular lattice
• Simulations of Quantum XXZ Models on Two-Dimensional Frustrated Lattices
• Quantum Monte Carlo simulations in the trimer basis: first-order transitions and thermal critical points in frustrated trilayer magnets
• Diagnosing Fractionalization from the Spin Dynamics of $Z_2$ Spin Liquids on the Kagome Lattice by Quantum Monte Carlo Simulations
• Quantum domain walls induce incommensurate supersolid phase on the anisotropic triangular lattice
• Chiral edge states and fractional charge separation in interacting bosons on a Kagome lattice
• Magnetization plateaus of an easy-axis Kagomé antiferromagnet with extended interactions
• Exotic phase diagram of a cluster charging model of bosons on the kagome lattice
• Proposed low energy model Hamiltonian for spin-gapped system CuTe2O5
• Quantum cluster algorithm for frustrated Ising models in a transverse field
• Floquet-Induced Superfluidity with Periodically Modulated Interactions of Two-Species Hardcore Bosons in a One-dimensional Optical Lattice
• Nontrivial worldline winding in non-Hermitian quantum systems
• Tunable anisotropic superfluidity in an optical kagome superlattice
• Three-body interactions on a triangular lattice
• Bose-Hubbard model on a star lattice
• Commensurate lock-in and incommensurate supersolid phases of hardcore bosons on anisotropic triangular lattices
• Quantum order by disorder in a spin-one frustrated magnet on the kagome lattice
• Two-step melting of three-sublattice order in $S=1$ easy-axis triangular lattice antiferromagnets