120 citations · 2.1k across the 75 of their papers we have counts for
6 papers · 1 filter
Ab Initio Treatments of the Ising Model in a Transverse Field
R. F. Bishop, D. J. J. Farnell, M. L. Ristig
In this article, new results are presented for the zero-temperature ground-state properties of the spin-half transverse Ising model on various lattices using three different approx…
High-Order Coupled Cluster Method Calculations for the Ground- and Excited-State Properties of the Spin-Half XXZ Model
R. F. Bishop, D. J. J. Farnell, S. E. Krueger +3
In this article, we present new results of high-order coupled cluster method (CCM) calculations, based on a Néel model state with spins aligned in the -direction, for both the g…
Coupled Cluster Treatment Of An Interpolating Triangle/Kagome Antiferromagnet
D. J. J. Farnell, R. F. Bishop, K. A. Gernoth
The coupled cluster method (CCM) is applied to a spin-half model at zero temperature which interpolates between a triangular lattice antiferromagnet (TAF) and a Kagome lattice anti…
Quantum Phase Transitions and the Extended Coupled Cluster Method
N. E. Ligterink, N. R. Walet, R. F. Bishop
We discuss the application of an extended version of the coupled cluster method to systems exhibiting a quantum phase transition. We use the lattice O(4) non-linear sigma model in…
Quantum Phase Transitions of a Square-Lattice Heisenberg Antiferromagnet with Two Kinds of Nearest-Neighbour Bonds: A High-Order Coupled-Cluster Treatment
Sven E. Krüger, Johannes Richter, Jörg Schulenburg +2
We study the zero-temperature phase diagram and the low-lying excitations of a square-lattice spin-half Heisenberg antiferromagnet with two types of regularly distributed nearest-n…
Towards a Many-Body Treatment of Hamiltonian Lattice SU(N) Gauge Theory
N. E. Ligterink, N. R. Walet, R. F. Bishop
We develop a consistent approach to Hamiltonian lattice gauge theory, using the maximal-tree gauge. The various constraints are discussed and implemented. An independent and comple…