Papers based on CCCM

If you wrote a paper based on the CCM code published here, please send us a notice. So we can add it to the following list. This will help to get a list of standart results for the code and avoid repeat of particular calculations.
We'd be grateful if you would acknowledge the use of this CCCM package in your publication.

The Coupled-Cluster Method Applied to the XXZ Model Using a Planar Model
State, R.F. Bishop, D.J.J. Farnell, J.B. Parkinson, J. Phys.: Condens.
Matter 8, 11153 (1996).

Coupled Cluster Treatment of the XY Model, D.J.J. Farnell, S.E. Krueger, and
J.B. Parkinson, J. Phys.: Condens. Matter 9, 7601 (1997); cond-mat/9706299.

An Efficient Implementation of High-Order Coupled-Cluster Techniques Applied
to Quantum Magnets, Chen Zeng, D.J.J. Farnell, and R.F. Bishop, J. Stat.
Phys. 90, 327 (1998); cond-mat/9611012. 

An Ab Initio Coupled Cluster Theory of Quantum Spin Lattices and Their
Quantum Critical Behaviour, R.F. Bishop and D.J.J. Farnell, Mol. Phys. 94,
73 (1998).

Ab Initio Calculations For The Square-Lattice Anisotropic Heisenberg Model,
R.F. Bishop and D.J.J. Farnell, Int. J. Mod. Phys. 13, 709 (1999); also in
The Proceedings of the Ninth International Conference on Recent Progress in
Many-Body Theories, edited by D. Neilson and R.F. Bishop, Advances in
Quantum Many-Body Theory, Vol. 1, (World Scientific, Singapore, 1998),
p.433.

Phase Transitions in the Spin-Half J1-J2 Model, R.F. Bishop, D.J.J. Farnell,
and J.B. Parkinson, Phys. Rev. B 58, 6394 (1998); cond-mat/9804079.

Ab Initio Simulation of the Nodal Surfaces of Antiferromagnets, R.F. Bishop,
D.J.J. Farnell, and Chen Zeng, Phys. Rev. B 59, 1000 (1999);
cond-mat/9806324. 

Analytische Methoden zur Untersuchung von niedrigdimensionalen
Quantenspinsystemen: Coupled-Cluster-Methode und spinwellentheorie
Dissertation von Sven E. Krüger 24.11.1999, Uni-Magdeburg
PDF-1.2 (101 pages, 903kB, german language)

Quantum Phase Transitions of a Square Lattice Heisenberg Antiferromagnet
with Two Kinds of Nearest-Neighbour Bonds: A High-Order Coupled Cluster
Treatment, S.E. Krueger, J. Richter, J. Schulenburg, R.F. Bishop, and D.J.J.
Farnell, Phys. Rev. B 61 14607 (2000); cond-mat/0003126. 

Ab Initio Treatments of the Ising Model in a Transverse Field, R.F. Bishop,
D.J.J. Farnell, and M.L. Ristig, Int. J. Mod. Phys. B 14, 1517 (2000);
cond-mat/0011043.  

%%
 R.F. Bishop, D.J.J. Farnell, S.E. Krueger, J.B. Parkinson,
 J.Richter and C. Zeng:
  High-order coupled cluster method calculations for the
  ground- and excited-state properties of the spin-half XXZ model,
   J. Phys.: Condens. Matter 12 (2000) 6887-6902
   % http://xxx.lanl.gov/abs/cond-mat/0011008

CCM Treatment Of An Interpolating Triangle/Kagome' Antiferromagnet, D.J.J.
Farnell, K.A. Gernoth, and R.F.Bishop, Phys. Rev. B 63, R220402 (2001);
cond-mat/0010477. 

A High-Order Coupled Cluster Method for General Spin-Lattice Problems: An
Illustration Via the Anisotropic Heisenberg Model, D.J.J. Farnell, K.A.
Gernoth, and R.F. Bishop, Phys. Rev. B 64, 172409 (2001); cond-mat/0103321. 

Marshall-Peierls Sign Rules, the Quantum Monte Carlo Method, and
Frustration, R.F. Bishop and D.J.J. Farnell, Int. J. Mod. Phys. 15, 1736
(2001).

High-Order Coupled Cluster Results for Antiferromagnets and their Phase
Transitions, R.F. Bishop and D.J.J. Farnell, Int. J. Mod. Phys. 15, 1385
(2001).

Coupled Cluster Method Calculations of Quantum Magnets Of General Quantum
Spin Number, D.J.J. Farnell, K.A. Gernoth, and R.F. Bishop, J. Stat. Phys.
108, 401 (2002). 

Magnetic phases of the mixed-spin J1J2 Heisenberg model on a square lattice,
N.B. Ivanov, J. Richter, D.J.J. Farnell, Phys. Rev B 66, 014421 (2002);
cond-mat/0112295.

CCM Treatments of Quantum Magnets: Two Examples, S.E. Kr�ger, D.J.J.
Farnell, and J. Richter, Int. J. Mod. Phys. B 17, 5347-5365 (2003). 

High-Order Coupled Cluster Method (CCM) Calculations Via Parallel
Processing: An Application To The Kagome' Antiferromagnet, 
D.J.J. Farnell and R.F. Bishop, cond-mat/0311126

Influence of the spin quantum number s on the zero-temperature phase
transition in the square-lattice J-J model, R. Darradi, J. Richter and
D.J.J. Farnell, J. Phys.: Condens. Matter 17, 341-350 (2005);
cond-mat/0410397.

CCM for Quantum Spin Systems by Sven E. Krueger
PDF (overview J1-J2, GAP, stiffness)
MAMBT Manchester 31.08.2005

Coupled Cluster Treatment of the Shastry-Sutherland Antiferromagnet, by R.
Darradi, J. Richter, and K.A. Gernoth, and D.J.J. Farnell, Phys. Rev. B. 72,
104425 (2005); cond-mat/0504283.

High-Order Coupled Cluster Calculations via Parallel Processing: An
Illustration for Ca4VO9, by D.J.J. Farnell, J. Schulenberg, J. Richter, and
K.A. Gernoth, Phys. Rev. B. 72, 172408 (2005); cond-mat/0511544.

Direct Calculation of the Spin Stiffness using the Coupled Cluster Method,
S. Krueger, R. Darradi, J. Richter, and DJJ Farnell Phys. Rev. B 73, 094404
(2006); cond-mat/0601691.

The Coupled Cluster Method Applied to the XXZ model on the Square Lattice,
D.J.J. Farnell and R.F. Bishop, cond-mat/0606060 

Odd and Even Behaviour with LSUBm Approximation Level in High-Order Coupled
Cluster Method (CCM) Calculations, D.J.J. Farnell  accepted for publication
in Int. J. Mod. Phys. B. (2008).

R. F. Bishop, P. H. Y. Li, R. Darradi, J. Schulenburg, and J. Richter        
Effect of anisotropy on the ground-state magnetic ordering of the spin-half  
quantum J[sub 1][sup XXZ]--J[sub 2][sup XXZ] model on the square lattice
Physical Review B (Vol.78, No.5)
% URL: http://link.aps.org/abstract/PRB/v78/e054412
% DOI: 10.1103/PhysRevB.78.054412

Magnetic order in a spin-half interpolating square-triangle Heisenberg antiferromagnet
Authors: R.F. Bishop, P.H.Y. Li, D.J.J. Farnell, C.E. Campbell 
Journal-ref: Phys. Rev. B 79, 174405 (2009) 
http://arxiv.org/abs/0812.3821

High-Order Coupled Cluster Method (CCM) Calculations for Quantum Magnets with Valence-Bond Ground States
Authors: D.J.J. Farnell, J. Richter, R. Zinke, R.F. Bishop 
Journal-ref: J Stat Phys (2009) 135: 175-198
http://arxiv.org/abs/0908.1376

High-Order Coupled Cluster Method Study of Frustrated and Unfrustrated Quantum Magnets in External Magnetic Fields
Authors: D. J. J. Farnell, R. Zinke, J. Richter, J. Schulenburg 
J. Phys.: Condens. Matter 21 (2009) 406002.
http://stacks.iop.org/0953-8984/21/406002
http://arxiv.org/abs/0908.2881

High-Order Coupled Cluster Method (CCM) Formalism 1:
Ground- and Excited-State Properties of
Lattice Quantum Spin Systems s>=1/2
Authors: D. J. J. Farnell
http://arxiv.org/abs/0909.1226v1

High-Order Coupled Cluster Method (CCM) Formalism 2:
"Generalised" Expectation Values: Spin-Spin Correlation Functions for
Frustrated and Unfrustrated 2D Antiferromagnets
Authors: D. J. J. Farnell
http://arxiv.org/abs/0911.5150v1

The frustrated spin-1/2 J1-J2 Heisenberg ferromagnet on the square lattice:
Exact diagonalization and Coupled-Cluster study. J. Richter, R. Darradi, J.
Schulenburg, D.J.J. Farnell, H. Rosner. Phys. Rev. B 81, 174429 (2010).
arXiv:1002.2299v1. (7 pages)

High-Order Coupled Cluster Method Calculations of Spontaneous Symmetry
Breaking in the Spin-Half One-Dimensional J1-J2 Model, D.J.J. Farnell -
accepted for publication by Condensed Matter Theories as a special edition
on Spin Systems (2009).

Magnetic Ordering of Antiferromagnets on a Spatially Aniscotropic Triangular
Lattice,   R.F. Bishop, P.H.Y. Li, D.J.J. Farnell, and C.E. Campbell. To
appear in Condensed Matter Theories 33 (2010).

High-Order Coupled Cluster Method (CCM) Formalism 3: Finite-Size CCM. D.J.J.
Farnell. arXiv:1002.4396

Magnetic order on a frustrated spin-1/2 Heisenberg antiferromagnet on the
Union Jack lattice. R.F. Bishop, P.H.Y. Li, D.J.J. Farnell, C.E. Campbell.
arXiv:1004.2339v1. (Accepted for publication by Phys. Rev. B).

Magnetic order in a spin-1/2 interpolating kagome-square Heisenberg
antiferromagnet. R.F. Bishop, P.H.Y. Li, D.J.J. Farnell, C.E. Campbell.
arXiv:1005.0526v1. (Accepted for publication by Physical Review B).

Note: large section on the CCM (especially for the 2D XXZ model) in:
http://www.springer.com/physics/quantum+physics/book/978-3-642-13289-6 

Magnetic ordering on a spatially anisotropic triangular lattice.
R.F. Bishop, P.H.Y. Li, D.J.J. Farnell, and C.E. Campbell. International
Journal of Modern Physics B 24, 5011–5026 (2010)

The frustrated Heisenberg antiferromagnet on the honeycomb lattice:
A candidate for deconfined quantum criticality, D. J. J. Farnell, R. F.
Bishop, P. H. Y. Li, J. Richter, and C. E. Campbell. Physical Review B 84,
012403 (2011). arXiv:1103.3856

The spin-half Heisenberg antiferromagnet on two Archimedian
lattices: From the bounce lattice to the maple-leaf lattice and beyond.
D.J.J. Farnell, R. Darradi, R. Schmidt, and J. Richter. Physical Review B.
84, 104406 (2011). arXiv: 1104.2572v1

Ground-state phases of the frustrated spin-½ J1-J2-J3 Heisenberg
ferromagnet (J1<0) on the honeycomb lattice with J3=J2>0. P.H.Y. Li, R.F.
Bishop, D.J.J. Farnell, J. Richter, C.E. Campbell. Submitted to Phys. Rev. B
(Sept. 2011). arXiv:1109.62295

The Heisenberg antiferromagnet on the kagome lattice with arbitrary spin:
A high-order coupled cluster treatment.
O. Goetze, D.J.J. Farnell, R.F. Bishop, P.H.Y. Li, and J. Richter. Phys.
Rev. B 84, 224428 (2011). arXiv:0338065

The frustrated Heisenberg antiferromagnet on the honeycomb lattice:
J1-J2 model, P.H.Y. Li, R.F. Bishop, D.J.J. Farnell and C.E. Campbell.
Submitted to Euro. Phys. Letts. (January 2012). arXiv: 0399190