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

235 works between 1986 and 2025
All (235) Book (2) Journal Article (218) Conference Publication (9) Book Chapter (6)

141 - 160 of 235 works

2002

Journal Article

Twisted parafermions

Ding, Xiang-Mao, Gould, Mark D. and Zhang, Yao-Zhong (2002). Twisted parafermions. Physics Letters B, 530 (1-4), 197-201. doi: 10.1016/S0370-2693(02)01319-9

Twisted parafermions

2002

Journal Article

The q-deformed supersymmetric t-J model with a boundary

Hou, B. Y., Yang, W. L., Zhang, Y. Z. and Zhen, Y. (2002). The q-deformed supersymmetric t-J model with a boundary. Journal of Physics A-mathematical And General, 35 (11), 2593-2608. doi: 10.1088/0305-4470/35/11/306

The q-deformed supersymmetric t-J model with a boundary

2002

Journal Article

Supersymmetric t-J Gaudin models and KZ equations

Gould, M. D., Zhang, Y. Z. and Zhao, S. Y. (2002). Supersymmetric t-J Gaudin models and KZ equations. Journal of Physics A-mathematical And General, 35 (44), 9381-9393. doi: 10.1088/0305-4470/35/44/308

Supersymmetric t-J Gaudin models and KZ equations

2002

Journal Article

A(2)((2)) parafermions: a new conformal field theory

Ding, XM, Gould, MD and Zhang, YZ (2002). A(2)((2)) parafermions: a new conformal field theory. Nuclear Physics B, 636 (3) 8334, 549-567. doi: 10.1016/S0550-3213(02)00335-8

A(2)((2)) parafermions: a new conformal field theory

2002

Journal Article

Free field and parafermionic realizations of twisted su(3)(k)((2)) current algebra

Ding, X. M., Gould, M. D. and Zhang, Y. Z. (2002). Free field and parafermionic realizations of twisted su(3)(k)((2)) current algebra. International Journal of Modern Physics B, 16 (14 & 15), 2153-2159. doi: 10.1142/S0217979202011913

Free field and parafermionic realizations of twisted su(3)(k)((2)) current algebra

2002

Journal Article

R-matrices and the tensor product graph method

Gould, M. D. and Zhang, Y. Z. (2002). R-matrices and the tensor product graph method. International Journal of Modern Physics B, 16 (14 & 15), 2145-2151. doi: 10.1142/S0217979202011901

R-matrices and the tensor product graph method

2001

Journal Article

On Quasi-Hopf Superalgebras

Gould, Mark D., Zhang, Yao-Zhong and Isaac, Phillip S. (2001). On Quasi-Hopf Superalgebras. Communications in Mathematical Physics, 224 (2), 341-372. doi: 10.1007/s00220-001-0566-2

On Quasi-Hopf Superalgebras

2001

Journal Article

Drinfeld basis of the twisted quantum affine algebra Uq(A(2)((2))) from the Gauss decomposition of an L-operator

Yang, Wen-Li and Zhang, Yao-Zhong (2001). Drinfeld basis of the twisted quantum affine algebra Uq(A(2)((2))) from the Gauss decomposition of an L-operator. Journal of physics. A, Mathematical and general physics, 34 (13), L205-L211. doi: 10.1088/0305-4470/34/13/107

Drinfeld basis of the twisted quantum affine algebra Uq(A(2)((2))) from the Gauss decomposition of an L-operator

2001

Journal Article

Izergin-Korepin model with a boundary

Yang, WL and Zhang, YZ (2001). Izergin-Korepin model with a boundary. Nuclear Physics B, 596 (3), 495-512. doi: 10.1016/S0550-3213(00)00694-5

Izergin-Korepin model with a boundary

2001

Journal Article

Twisted sl(3, C)(k)((2)) current algebra: free field representation and screening currents

Ding, XM, Gould, MD and Zhang, YZ (2001). Twisted sl(3, C)(k)((2)) current algebra: free field representation and screening currents. Physics Letters B, 523 (3-4), 367-376. doi: 10.1016/S0370-2693(01)01361-2

Twisted sl(3, C)(k)((2)) current algebra: free field representation and screening currents

2000

Journal Article

Level-one highest weight representation of U-q[sl((N)over-cap vertical bar 1)] and Bosonization of the multicomponent Super t-J model

Yang, Wen-Li and Zhang, Yao-Zhong (2000). Level-one highest weight representation of U-q[sl((N)over-cap vertical bar 1)] and Bosonization of the multicomponent Super t-J model. Journal of Mathematical Physics, 41 (8), 5849-5869. doi: 10.1063/1.533441

Level-one highest weight representation of U-q[sl((N)over-cap vertical bar 1)] and Bosonization of the multicomponent Super t-J model

2000

Journal Article

Level-one highest weight representations of U-q[g1(1 vertical bar 1)] and associated vertex operators

Yang, Wen-Li and Zhang, Yao-Zhong (2000). Level-one highest weight representations of U-q[g1(1 vertical bar 1)] and associated vertex operators. Physics Letters A, 267 (2-3), 157-166. doi: 10.1016/S0375-9601(00)00085-2

Level-one highest weight representations of U-q[g1(1 vertical bar 1)] and associated vertex operators

2000

Journal Article

Twisted quantum affine superalgebra Uq[gl(m|n)(2)] and new Uq[osp(m|n)] invariant R-matrices

Gould, M. D. and Zhang, Yao-Zhong (2000). Twisted quantum affine superalgebra Uq[gl(m|n)(2)] and new Uq[osp(m|n)] invariant R-matrices. Nuclear Physics B, 566 (3), 529-546. doi: 10.1016/S0550-3213(99)00516-7

Twisted quantum affine superalgebra Uq[gl(m|n)(2)] and new Uq[osp(m|n)] invariant R-matrices

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

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

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

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

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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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