182 citations · 1.3k across the 35 of their papers we have counts for
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Quantized Lattice Dynamic Effects on the Peierls transition of the Extended Hubbard Model
Christopher J. Pearson, William Barford, Robert J. Bursill
The density matrix renormalization group method is used to investigate the Peierls transition for the extended Hubbard model coupled to quantized phonons. Following our earlier wor…
Quantized Lattice Dynamic Effects on the Spin-Peierls Transition
Christopher J. Pearson, William Barford, Robert J. Bursill
The density matrix renormalization group method is used to investigate the spin-Peierls transition for Heisenberg spins coupled to quantized phonons. We use a phonon spectrum that…
Computational Investigations of the Primary Excited States of Poly(para-phenylene vinylene)
Robert J. Bursill, William Barford
The Pariser-Parr-Pople model of pi-conjugated electrons is solved by the density matrix renormalization group method for the light emitting polymer, poly(para-phenylene vinylene).…
Can Quantum Lattice Fluctuations Destroy the Peierls Broken Symmetry Ground State?
William Barford, Robert J Bursill
The study of bond alternation in one-dimensional electronic systems has had a long history. Theoretical work in the 1930s predicted the absence of bond alternation in the limit of…
Spin Liquid Phase in Anisotropic Triangular Lattice Heisenberg Model: Exact diagonalization and density-matrix renormalization group calculations
M. Q. Weng, D. N. Sheng, Z. Y. Weng +1
Based on exact diagonalization and density matrix renormalization group (DMRG) method, we show that an anisotropic triangle lattice Heisenberg spin model has three distinct quantum…
Peierls transition in the quantum spin-Peierls model
William Barford, Robert J. Bursill
We use the density matrix renormalization group method to investigate the role of longitudinal quantized phonons on the Peierls transition in the spin-Peierls model. For both the X…
Relaxation energies and excited state structures of poly(para-phenylene)
Eric E. Moore, William Barford, Robert J. Bursill
We investigate the relaxation energies and excited state geometries of the light emitting polymer, poly(para-phenylene). We solve the Pariser-Parr-Pople-Peierls model using the den…
Dynamical model of the dielectric screening of conjugated polymers
William Barford, Robert Bursill, David Yaron
A dynamical model of the dielectric screening of conjugated polymers is introduced and solved using the density matrix renormalization group method. The model consists of a line of…
Persistent Currents in the Heisenberg chain with a weak link
T. M. R. Byrnes, R. J. Bursill, H. -P. Eckle +2
The Heisenberg chain with a weak link is studied, as a simple example of a quantum ring with a constriction or defect. The Heisenberg chain is equivalent to a spinless electron gas…
Numerical Studies of the two-leg Hubbard ladder
Zheng Weihong, J. Oitmaa, C. J. Hamer +1
The Hubbard model on a two-leg ladder structure has been studied by a combination of series expansions at T=0 and the density-matrix renormalization group. We report results for th…
Effect of Quantised Lattice Fluctuations on the Electronic States of Polyenes
W. Barford, R. J. Bursill, M. Yu Lavrentiev
We solve a model of interacting electrons coupled to longitudinal phonons using the density matrix renormalisation group method. The model is parametrised for polyenes. We calculat…