Associate Professor Yao-zhong Zhang
Associate Professor

Yao-zhong Zhang

Email: 
Phone: 
+61 7 336 53256

Background

A/Prof Yao-Zhong Zhang's research interests are in: Algebraic structures, quantum (super)integrable systems, (quasi-)exactly solvable models, supersymmetry, and conformal field theory.

Yao-Zhong Zhang received his PhD from Northwest University, China, in 1988 under the supervision of Prof Bo-Yu Hou. He spent 12 years in Europe, Japan and Australia as Postdoctoral/Research Fellow, before becoming in 2001 a permament staff member as a Senior Lecturer in Mathematics of the University of Queensland. Since 2006, he has been Reader/Associate Professor in the School of Mathematics and Physics of the University of Queensland.

Availability

Associate Professor Yao-zhong Zhang is:
Available for supervision
Media expert

Fields of research

Mathematical physics

Qualifications

  • Bachelor (Honours) of Science (Advanced), Xidian University
  • Masters (Research) of Science, Sichuan University
  • Doctor of Philosophy, Northwest University (西北大学)

Research interests

  • Integrable, superintegrable, exactly solvable and quasi-exactly solvable systems

  • Spin-boson systems, quantum Rabi model and generalizations

  • Algebraic Bethe ansatz, quantum inverse scattering method and related algebraic structures

  • Lie (super)algebras, quantum algebras, representations, correlation functions, supersymmetry and conformal field theory

Search Professor Yao-zhong Zhang’s works on UQ eSpace

262 works between 1986 and 2025
All (262) Journal Article (243) Book Chapter (6) Conference Publication (11) Book (2)

181 - 200 of 262 works

2000

Journal Article

Uq[sl(2|1)] vertex operators, screen currents and correlation functions at arbitrary level

Zhang, Yao-Zhong and Gould, M. D. (2000). Uq[sl(2|1)] vertex operators, screen currents and correlation functions at arbitrary level. Journal of Mathematical Physics, 41, 5277-5291.

Uq[sl(2|1)] vertex operators, screen currents and correlation functions at arbitrary level

2000

Journal Article

U-q[(sl(2)over-cap vertical bar 1)] vertex operators, screen currents, and correlation functions at an arbitrary level

Zhang, YZ and Gould, MD (2000). U-q[(sl(2)over-cap vertical bar 1)] vertex operators, screen currents, and correlation functions at an arbitrary level. Journal of Mathematical Physics, 41 (8), 5277-5291. doi: 10.1063/1.533409

U-q[(sl(2)over-cap vertical bar 1)] vertex operators, screen currents, and correlation functions at an arbitrary level

2000

Journal Article

Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras

Links, JR, Gould, MD and Zhang, YZ (2000). Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras. Journal of Mathematical Physics, 41 (7), 5020-5032. doi: 10.1063/1.533390

Twisting invariance of link polynomials derived from ribbon quasi-Hopf algebras

2000

Journal Article

Vertex operators of Uq[gl[(N|N)] and highest weight representations of Uq[gl(2|2)]

Yang, Wen-Li and Zhang, Yao-Zhong (2000). Vertex operators of Uq[gl[(N|N)] and highest weight representations of Uq[gl(2|2)]. Journal of Mathematical Physics, 41 (4), 2460-2481. doi: 10.1063/1.533252

Vertex operators of Uq[gl[(N|N)] and highest weight representations of Uq[gl(2|2)]

2000

Journal Article

Casimir invariants from quasi-Hopf (super)algebras

Gould, Mark D., Zhang, Yao-Zhong and Isaac, Phillip S. (2000). Casimir invariants from quasi-Hopf (super)algebras. Journal of Mathematical Physics, 41 (1), 547-568. doi: 10.1063/1.533151

Casimir invariants from quasi-Hopf (super)algebras

1999

Journal Article

Drinfeld basis and free boson representation of twisted quantum affine superalgebra Uq[osp(2 | 2)(2)]

Yang, Wen-Li and Zhang, Yao-Zhong (1999). Drinfeld basis and free boson representation of twisted quantum affine superalgebra Uq[osp(2 | 2)(2)]. Physics Letters A, 261 (5-6), 252-258. doi: 10.1016/S0375-9601(99)00644-1

Drinfeld basis and free boson representation of twisted quantum affine superalgebra Uq[osp(2 | 2)(2)]

1999

Journal Article

The twisted quantum affine algebra Uq[A2(2)] and correlation function of the IK model

Hou, Bo-Yu, Yang, Wen-Li and Zhang, Yao-Zhong (1999). The twisted quantum affine algebra Uq[A2(2)] and correlation function of the IK model. Nuclear Physics B, 556 (3), 485-504. doi: 10.1016/S0550-3213(99)00348-X

The twisted quantum affine algebra Uq[A2(2)] and correlation function of the IK model

1999

Journal Article

Highest weight representation of Uq[sl(2 | 1)) and correlation function of the q-deformed supersymmetric t-J model

Yang, Wen-Li and Zhang, Yao-Zhong (1999). Highest weight representation of Uq[sl(2 | 1)) and correlation function of the q-deformed supersymmetric t-J model. Nuclear Physics B, 547 (3), 599-622. doi: 10.1016/S0550-3213(99)00050-4

Highest weight representation of Uq[sl(2 | 1)) and correlation function of the q-deformed supersymmetric t-J model

1999

Journal Article

Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N | N)]

Zhang, Yao-Zhong (1999). Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N | N)]. Journal of Mathematical Physics, 40 (11), 6110-6124. doi: 10.1063/1.533073

Level-one representations and vertex operators of quantum affine superalgebra Uq[gl(N | N)]

1999

Journal Article

Boundary two-parameter eight-state supersymmetric Fermion model and Bethe Ansatz solution

Bracken, A. J., Ge, X. Y., Zhang, Y. Z. and Zhou, H. Q. (1999). Boundary two-parameter eight-state supersymmetric Fermion model and Bethe Ansatz solution. Bulletin of the Australian Mathematical Society, 59 (3), 375-390. doi: 10.1017/S0004972700033050

Boundary two-parameter eight-state supersymmetric Fermion model and Bethe Ansatz solution

1999

Conference Publication

Drinfeld current realization and vertex operators of Uq[osp(1 | 2)(1)]

Zhang, Y.Z. (1999). Drinfeld current realization and vertex operators of Uq[osp(1 | 2)(1)]. XXII International Colloquium on Group Theoretical Method in Physics, Hobart, 13-17 Jul 1998. Boston: International Press.

Drinfeld current realization and vertex operators of Uq[osp(1 | 2)(1)]

1999

Book Chapter

Integrable models of correlated electrons

Bracken, Anthony R., Gould, Mark D., Links, Jon R. and Zhang, Yao-Zhong (1999). Integrable models of correlated electrons. Statistical Physics on the Eve of the 21st Century. (pp. 303-315) edited by Murry Batchelor and Luc Wille. River Ridge, New Jersey United States: World Scientific Publishing. doi: 10.1142/3964

Integrable models of correlated electrons

1999

Journal Article

Quasi-Hopf superalgebras and elliptic quantum supergroups

Zhang, YZ and Gould, MD (1999). Quasi-Hopf superalgebras and elliptic quantum supergroups. Journal of Mathematical Physics, 40 (10), 5264-5282. doi: 10.1063/1.533029

Quasi-Hopf superalgebras and elliptic quantum supergroups

1999

Conference Publication

On quasi-Hopf and elliptic superalgebras

Zhang, Y.Z. (1999). On quasi-Hopf and elliptic superalgebras. Gauge Theory and Integrable Models, Kyoto, 26-29 January, 1999. Kyoto, Japan: Kyoto University. doi: 10.1143/PTPS.135.182

On quasi-Hopf and elliptic superalgebras

1999

Journal Article

Quasispin graded-fermion formalism and gl(m vertical bar n)down arrow osp(m vertical bar n) branching rules

Gould, Mark D. and Zhang, Yao-Zhong (1999). Quasispin graded-fermion formalism and gl(m vertical bar n)down arrow osp(m vertical bar n) branching rules. Journal of Mathematical Physics, 40 (11), 5371-5386. doi: 10.1063/1.533075

Quasispin graded-fermion formalism and gl(m vertical bar n)down arrow osp(m vertical bar n) branching rules

1998

Journal Article

Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution

Ge, Xiang-Yu, Gould, Mark D., Zhang, Yao-Zhong and Zhou, Huan-Qiang (1998). Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution. Physics Letters, Section A: General, Atomic and Solid State Physics, 238 (4-5), 309-314. doi: 10.1016/S0375-9601(97)00959-6

Integrable eight-state supersymmetric U model with boundary terms and its Bethe ansatz solution

1998

Journal Article

Eight-state supersymmetric U model of strongly correlated fermions

Gould, MD, Zhang, YZ and Zhou, HQ (1998). Eight-state supersymmetric U model of strongly correlated fermions. Physical Review B, 57 (16), 9498-9501. doi: 10.1103/PhysRevB.57.9498

Eight-state supersymmetric U model of strongly correlated fermions

1998

Journal Article

On the graded quantum Yang-Baxter and reflection equations

Zhang, YZ (1998). On the graded quantum Yang-Baxter and reflection equations. Communications In Theoretical Physics, 29 (3), 377-380. doi: 10.1088/0253-6102/29/3/377

On the graded quantum Yang-Baxter and reflection equations

1998

Journal Article

Quantum integrability and exact solution of the supersymmetric U model with boundary terms

Zhang, YZ and Zhou, HQ (1998). Quantum integrability and exact solution of the supersymmetric U model with boundary terms. Physical Review B, 58 (1), 51-53. doi: 10.1103/PhysRevB.58.51

Quantum integrability and exact solution of the supersymmetric U model with boundary terms

1998

Journal Article

Integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons

Bracken, AJ, Ge, XY, Zhang, YZ and Zhou, HQ (1998). Integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons. Nuclear Physics B, 516 (3), 588-602. doi: 10.1016/S0550-3213(98)00067-4

Integrable open-boundary conditions for the q-deformed supersymmetric U model of strongly correlated electrons

Current funding

  • 2019 - 2025
    From superintegrability to quasi-exact solvability: theory and application
    ARC Discovery Projects
    Open grant

Past funding

  • 2014 - 2016
    Constructive representation theory of classical and quantum Lie superalgebras
    ARC Discovery Projects
    Open grant
  • 2011 - 2013
    Mathematical models for disordered critical point theories
    ARC Discovery Projects
    Open grant
  • 2008
    Exact analytic methods for disordered critical point theories
    UQ External Support Enabling Grant
    Open grant
  • 2006 - 2008
    Quantum Integrable Systems and Applications: From Condensed Matter to Quantum Information
    ARC Discovery Projects
    Open grant
  • 2004
    Quantum Many-Body Systems Network: Breakthrough Science and Frontier Technologies
    ARC Seed Funding for Research Networks
    Open grant
  • 2004 - 2006
    Quantum many-body systems with long-range interactions
    ARC Linkage International
    Open grant
  • 2003 - 2004
    Quantum Groups and Boundary Integrable Field Theory
    Australian Academy of Science
    Open grant
  • 2003 - 2004
    Algebraic Structures and Correlations in Quantum Many-Body Systems
    ARC Discovery Projects
    Open grant
  • 2003 - 2005
    Metallic nanograins: superconducting correlations, Josephson tunneling and conformal field theory
    ARC Discovery Projects
    Open grant
  • 2002 - 2004
    Quantized Algebraic (Super) Structures and Applications
    ARC Linkage International
    Open grant
  • 2002
    Quantum correlations in degenerate Bose gases
    University of Queensland Research Development Grants Scheme
    Open grant
  • 2000
    Yangian Structures and Integrable Models with Long-Range Interactions.
    ARC Australian Research Council (Small grants)
    Open grant
  • 1999
    Boundary integrable models in condensed matter physics and quantum field theory
    ARC Australian Research Council (Small grants)
    Open grant
  • 1999
    Representations and Applications of Quantum Affine Superalgebras
    ARC Australian Research Council (Large grants)
    Open grant
  • 1999
    \-deformed (super) conformal field theory & q-(super) strings
    ARC International Research Exchange Program (IREX)
    Open grant
  • 1997
    Integrable quantum field theories with boundry interactons
    University of Queensland New Staff Research Grant
    Open grant
  • 1997
    Quantum groups and supersymmetry
    UQ External Support Enabling Grant
    Open grant

Availability

Associate Professor Yao-zhong Zhang is:
Available for supervision

Before you email them, read our advice on how to contact a supervisor.

Available projects

  • R-matrices without difference property and related integrable models

  • Superintegrable models and polynomial algebraic structures

  • Aspects of quantum Rabi type spin boson systems

Supervision history

Current supervision

Completed supervision

Enquiries

Contact Associate Professor Yao-zhong Zhang directly for media enquiries about:

  • Mathematical physics
  • Physics
  • Theoretical physics

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