Raymond F. Bishop

2022

Frustrated spin-[Formula presented] Heisenberg magnet on an AA-stacked honeycomb bilayer: High-order study of the collinear magnetic phases of the J₁–J₂–J₁^⊥ model

Li, P. H. Y. & Bishop, R. F., 1 Aug 2022, In: Journal of Magnetism and Magnetic Materials. 555, 169307 (11pp).

Research output: Contribution to journal › Article › peer-review

Open Access

Generalized Phase-Space Techniques to Explore Quantum Phase Transitions in Critical Quantum Spin Systems

Millen, N. M., Rundle, R. P., Samson, J. H., Tilma, T., Bishop, R. F. & Everitt, M. J., 23 Mar 2022.

Research output: Working paper › Preprint

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2020

Non-Hermitian coupled cluster method for non-stationary systems and its interaction-picture reinterpretation

Bishop, R. F. & Znojil, M., 2020, In: European Physical Journal Plus. 135, 374 (35pp).

Research output: Contribution to journal › Article › peer-review

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2019

Collinear antiferromagnetic phases of a frustrated spin-½ J₁–J₂–J₁^⊥ Heisenberg model on an AA-stacked bilayer honeycomb lattice

Li, P. H. Y. & Bishop, R. F., 2019, In: Journal of Magnetism and Magnetic Materials. 482, p. 262-273 12 p.

Research output: Contribution to journal › Article › peer-review

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Frustrated spin-½ Heisenberg magnet on a square-lattice bilayer: High-order study of the quantum critical behavior of the J₁-J₂-J₁^⊥ model

Bishop, R. F., Li, P. H. Y., Götze, O. & Richter, J., 2019, In: Physical Review B. 100, 024401 (14pp).

Research output: Contribution to journal › Article › peer-review

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General approach to quantum mechanics as a statistical theory

Rundle, R. P., Tilma, T., Samson, J. H., Dwyer, V. M., Bishop, R. F. & Everitt, M. J., 2019, In: Physical Review A. 99, 012115 (13pp).

Research output: Contribution to journal › Article › peer-review

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Non-coplanar model states in quantum magnetism applications of the high-order coupled cluster method

Farnell, D. J. J., Bishop, R. F. & Richter, J., 2019, In: Journal of Statistical Physics. 176, p. 180-213 34 p.

Research output: Contribution to journal › Article › peer-review

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2018

Gapped paramagnetic state in a frustrated spin-½ Heisenberg antiferromagnet on the cross-striped square lattice

Li, P. H. Y. & Bishop, R. F., 2018, In: Journal of Magnetism and Magnetic Materials. 449, p. 127-132 6 p.

Research output: Contribution to journal › Article › peer-review

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Interplay between lattice topology, frustration, and spin quantum number in quantum antiferromagnets on Archimedean lattices

Farnell, D. J. J., Gōtze, O., Schulenburg, J., Zinke, R., Bishop, R. F. & Li, P. H. Y., 2018, In: Physical Review B. 98, 224402 (11pp).

Research output: Contribution to journal › Article › peer-review

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Low-energy parameters and spin gap of a frustrated spin-s Heisenberg antiferromagnet with s ≤ ³/₂ on the honeycomb lattice

Bishop, R. F. & Li, P. H. Y., 2018, In: Journal of Physics: Conference Series. 1041, 012001 (18pp).

Research output: Contribution to journal › Article › peer-review

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2017

Frustrated honeycomb-bilayer Heisenberg antiferromagnet: The spin-½ J₁- J₂-J₁^⊥ model

Bishop, R. F. & Li, P. H. Y., 2017, In: Physical Review B. 95, 134414 (15pp).

Research output: Contribution to journal › Article › peer-review

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High-order study of the quantum critical behavior of a frustrated spin-½ antiferromagnet on a stacked honeycomb bilayer

Bishop, R. F. & Li, P. H. Y., 2017, In: Physical Review B. 96, 224416 (14pp).

Research output: Contribution to journal › Article › peer-review

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The spin-half XXZ antiferromagnet on the square lattice revisited: A high-order coupled cluster treatment

Bishop, R. F., Li, P. H. Y., Zinke, R., Darradi, R., Richter, J., Farnell, D. J. J. & Schulenburg, J., 2017, In: Journal of Magnetism and Magnetic Materials. 428, p. 178-188 11 p.

Research output: Contribution to journal › Article › peer-review

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Transverse magnetic susceptibility of a frustrated spin-½ J₁-J₂-J₁^⊥ Heisenberg antiferromagnet on a bilayer honeycomb lattice

Li, P. H. Y. & Bishop, R. F., 2017, AIP Conference Proceedings. Vol. 1912. 020011 (12pp)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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2016

Frustrated Heisenberg antiferromagnet on the honeycomb lattice with spin quantum number s ≥ 1

Li, P. H. Y., Bishop, R. F. & Campbell, C. E., 2016, In: Journal of Physics: Conference Series. 702, 012001 (19 pp).

Research output: Contribution to journal › Article › peer-review

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Ground-state phases of the spin-1 J₁- J₂ Heisenberg antiferromagnet on the honeycomb lattice

Li, P. H. Y. & Bishop, R. F., 2016, In: Physical Review B. 93, 214438 (17pp).

Research output: Contribution to journal › Article › peer-review

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Large-s expansions for the low-energy parameters of the honeycomb-lattice Heisenberg antiferromagnet with spin quantum number s

Bishop, R. F. & Li, P. H. Y., 2016, In: Journal of Magnetism and Magnetic Materials. 407, p. 348-357 10 p.

Research output: Contribution to journal › Article › peer-review

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2015

Foundations of quantum optics: a basis for the new quantum technologies

Bishop, RF., 2015, In: Contemporary Physics. 56, p. 381-384 4 p.

Research output: Contribution to journal › Article › peer-review

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Frustrated Heisenberg antiferromagnet on the honeycomb lattice: Spin gap and low-energy parameters

Bishop, RF., Li, PHY., Götze, O., Richter, J. & Campbell, CE., 2015, In: Physical Review B (Condensed Matter and Materials Physics). 92, 224434 (14pp).

Research output: Contribution to journal › Article › peer-review

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Ground-state phase structure of the spin-½ anisotropic planar pyrochlore

Li, PHY. & Bishop, RF., 2015, In: Journal of Physics: Condensed Matter. 27, 386002 (12pp).

Research output: Contribution to journal › Article › peer-review

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Quasiclassical magnetic order and its loss in a spin-½ Heisenberg antiferromagnet on a triangular lattice with competing bonds

Li, PHY., Bishop, RF. & Campbell, CE., 2015, In: Physical Review B (Condensed Matter and Materials Physics). 91, 014426 (11pp).

Research output: Contribution to journal › Article › peer-review

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Spin-gap study of the spin-½ J₁-J₂ model on the triangular lattice

Bishop, RF. & Li, PHY., 2015, In: Europhysics Letters. 112, 67002 (6pp).

Research output: Contribution to journal › Article › peer-review

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2014

A frustrated spin-1 J₁-J₂ Heisenberg antiferromagnet: An anisotropic planar pyrochlore model

Li, P. H. Y., Bishop, R. F. & Campbell, C. E., 2014, In: Journal of Physics: Conference Series. 529, 012008 (17pp).

Research output: Contribution to journal › Article › peer-review

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Frustrated spin-½ J₁-J₂ isotropic XY model on the honeycomb lattice

Bishop, R. F., Li, P. H. Y. & Campbell, C. E., 2014, In: Physical Review B (Condensed Matter and Materials Physics). 89, 214413 (15pp).

Research output: Contribution to journal › Article › peer-review

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Highly frustrated spin-lattice models of magnetism and their quantum phase transitions: A microscopic treatment via the coupled cluster method

Bishop, RF., Li, PHY. & Campbell, CE., 2014, In: AIP Conference Proceedings. 1619, p. 40-50 11 p.

Research output: Contribution to journal › Article › peer-review

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Phase diagram of a frustrated spin-½ J₁-J₂ XXZ model on the honeycomb lattice

Li, P. H. Y., Bishop, R. F. & Campbell, C. E., 2014, In: Physical Review B (Condensed Matter and Materials Physics). 89, 220408(R) (5pp).

Research output: Contribution to journal › Article › peer-review

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Quantum s= ½ antiferromagnets on Archimedean lattices: The route from semiclassical magnetic order to nonmagnetic quantum states

Farnell, D. J. J., Götze, O., Richter, J., Bishop, R. F. & Li, P. H. Y., 2014, In: Physical Review B (Condensed Matter and Materials Physics). 89, 184407 (7pp).

Research output: Contribution to journal › Article › peer-review

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The coupled-cluster approach to quantum many-body problem in a three-Hilbert-space reinterpretation

Bishop, R. F. & Znojil, M., 2014, In: Acta Polytechnica. 54, p. 85-92 8 p.

Research output: Contribution to journal › Article › peer-review

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2013

Frustrated spin-½ Heisenberg antiferromagnet on a chevron-square lattice

Li, P. H. Y., Bishop, R. F. & Campbell, C. E., 2013, In: Physical Review B (Condensed Matter and Materials Physics). 88, 144423 (15pp).

Research output: Contribution to journal › Article › peer-review

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Spin-½ J₁-J₂ Heisenberg model on a cross-striped square lattice

Bishop, R. F., Li, P. H. Y. & Campbell, C. E., 2013, In: Physical Review B (Condensed Matter and Materials Physics). 88, 214418 (15pp).

Research output: Contribution to journal › Article › peer-review

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Valence-bond crystalline order in the s = 1/2 J₁-J₂ model on the honeycomb lattice

Bishop, R. F., Li, P. H. Y. & Campbell, C. E., 2013, In: Journal of Physics: Condensed Matter. 25, 306002 (7pp).

Research output: Contribution to journal › Article › peer-review

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2012

Complete phase diagram of the spin-½ J₁-J₂-J₃model (with J₃ = J₂) on the honeycomb lattice

Bishop, R. F. & Li, P. H. Y., 2012, In: Physical Review B (Condensed Matter and Materials Physics). 85, 155135 (4pp).

Research output: Contribution to journal › Article › peer-review

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Frustrated Heisenberg antiferromagnet on the checkerboard lattice: J₁-J₂ model

Bishop, R. F., Li, P. H. Y., Farnell, D. J. J., Richter, J. & Campbell, C. E., 2012, In: Physical Review B (Condensed Matter and Materials Physics). 85, 205122 (11pp).

Research output: Contribution to journal › Article › peer-review

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Ground-state phases of the frustrated spin-½ J₁-J₂-J₃ Heisenberg ferromagnet (J₁ < 0) on the honeycomb lattice with J₃ = J₂ > 0,

Li, P. H. Y., Bishop, R. F., Farnell, D. J. J., Richter, J. & Campbell, C. E., 2012, In: Physical Review B (Condensed Matter and Materials Physics). 85, 085115 (11pp).

Research output: Contribution to journal › Article › peer-review

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Magnetic order in spin-1 and spin-3/2 interpolating square-triangle Heisenberg antiferromagnets

Li, P. H. Y. & Bishop, R. F., 2012, In: European Physical Journal B. 85, 25 (15pp).

Research output: Contribution to journal › Article › peer-review

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Phase diagram of a frustrated Heisenberg antiferromagnet on the honeycomb lattice: The J₁-J₂-J₃ model

Li, P. H. Y., Bishop, R. F., Farnell, D. J. J. & Campbell, C. E., 2012, In: Physical Review B (Condensed Matter and Materials Physics). 86, 144404 (12pp).

Research output: Contribution to journal › Article › peer-review

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Spin-½ Heisenberg antiferromagnet on an anisotropic kagome lattice

Li, P. H. Y., Bishop, R. F., Campbell, C. E., Farnell, D. J. J., Götze, O. & Richter, J., 2012, In: Physical Review B (Condensed Matter and Materials Physics). 86, 214403 (15pp).

Research output: Contribution to journal › Article › peer-review

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The frustrated Heisenberg antiferromagnet on the honeycomb lattice: J₁-J₂model

Bishop, R. F., Li, P. H. Y., Farnell, D. J. J. & Campbell, C. E., 2012, In: Journal of Physics: Condensed Matter. 24, 236002 (7pp).

Research output: Contribution to journal › Article › peer-review

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2011

A frustrated quantum spin-s model on the Union Jack lattice with spins s > 1/2

Bishop, R. F. & Li, P. H. Y., 2011, In: European Physical Journal B. 81, p. 37-48 12 p.

Research output: Contribution to journal › Article › peer-review

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Condensed matter theories: Volume 25

Ludeña, E. V. (ed.), Bishop, R. F. (ed.) & Iza, P. (ed.), Mar 2011, World Scientific Publishing Co. 416 p.

Research output: Book/Report › Book › peer-review

Condensed Matter Theories, Vol. 25

Ludeña, EV. (ed.), Bishop, RF. (ed.) & Iza, P. (ed.), 2011, World Scientific Publishing Co. Pte. Ltd. 395 p.

Research output: Book/Report › Anthology › peer-review

Coupled-cluster method: A lattice-path-based subsystem approximation scheme for quantum lattice models

Bishop, R. F. & Li, P. H. Y., 2011, In: Physical Review A (Atomic, Molecular and Optical Physics). 83, 042111 (12pp).

Research output: Contribution to journal › Article › peer-review

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Erratum: Magnetic ordering of antiferromagnets on a spatially anisotropic triangular lattice (International Journal of Modern Physics B (2010) 24:25 (5011-5026))

Bishop, R. F., Li, P. H. Y., Farnell, D. J. J. & Campbell, C. E., 2011, In: International Journal of Modern Physics B. 25, p. 2787-2788 2 p.

Research output: Contribution to journal › Article › peer-review

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Frustrated Heisenberg antiferromagnet on the honeycomb lattice: A candidate for deconfined quantum criticality

Farnell, D. J. J., Bishop, R. F., Li, P. H. Y., Richter, J. & Campbell, C. E., 2011, In: Physical Review B (Condensed Matter and Materials Physics). 84, 012403 (4pp).

Research output: Contribution to journal › Article › peer-review

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Heisenberg antiferromagnet on the kagome lattice with arbitrary spin: A higher-order coupled cluster treatment

Götze, O., Farnell, D. J. J., Bishop, R. F., Li, P. H. Y. & Richter, J., 2011, In: Physical Review B (Condensed Matter and Materials Physics). 84, 224428 (7pp).

Research output: Contribution to journal › Article › peer-review

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Magnetic ordering of antiferromagnets on a spatially anisotropic triangular lattice

Bishop, R. F., Li, P. H. Y., Farnell, D. . J. & Campbell, C. E., 1 Jan 2011, Condensed Matter Theories. Ludena, E. V., Bishop, R. F. & Iza, P. (eds.). World Scientific Publishing Co, Vol. 25. p. 127-142 16 p.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

2010

Magnetic order in a spin-½ interpolating kagome/square Heisenberg antiferromagnet

Bishop, R. F., Li, P. H. Y., Farnell, DJJ. & Campbell, C. E., 2010, In: Physical Review B (Condensed Matter and Materials Physics). 82, 104406 (9pp).

Research output: Contribution to journal › Article › peer-review

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Magnetic ordering of antiferromagnets on a spatially anisotropic triangular lattice

Bishop, R. F., Li, P. H. Y., Farnell, D. J. J. & Campbell, C. E., 2010, In: International Journal of Modern Physics B. 24, p. 5011-5026 16 p.

Research output: Contribution to journal › Article › peer-review

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Magnetic order on a frustrated spin-½ Heisenberg antiferromagnet on the Union Jack lattice

Bishop, R. F., Li, P. H. Y., Farnell, D. J. J. & Campbell, C. E., 2010, In: Physical Review B (Condensed Matter and Materials Physics). 82, 024416 (13pp).

Research output: Contribution to journal › Article › peer-review

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2009

High-order coupled cluster method (CCM) calculations for quantum magnets with valence-bond ground states

Farnell, D. J. J., Richter, J., Zinke, R. & Bishop, R. F., 2009, In: Journal of Statistical Physics. 135, p. 175-198 24 p.

Research output: Contribution to journal › Article › peer-review

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Raymond F. Bishop, MA (Oxon.), PhD (Stanford), CSci, CMath, CPhys, FIMA, FInstP, Fellow APS

Research output

Search results