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)

181 - 200 of 235 works

1997

Journal Article

Super-Yangian double and its central extension

Zhang, YZ (1997). Super-Yangian double and its central extension. Physics Letters A, 234 (1), 20-26. doi: 10.1016/S0375-9601(97)00560-4

Super-Yangian double and its central extension

1997

Journal Article

Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model

Gould, MD, Links, JR, Zhang, YZ and Tsohantjis, I (1997). Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model. Journal of Physics A-mathematical And General, 30 (12), 4313-4325. doi: 10.1088/0305-4470/30/12/018

Twisted quantum affine superalgebra U-q[sl(2/2)((2))], U-q[osp(2/2)] invariant R-matrices and a new integrable electronic model

1997

Journal Article

Comments on the Drinfeld realization of the quantum affine superalgebra U-q[gl(m backslash n)(1)] and its Hopf algebra structure

Zhang, YZ (1997). Comments on the Drinfeld realization of the quantum affine superalgebra U-q[gl(m backslash n)(1)] and its Hopf algebra structure. Journal of Physics A-mathematical And General, 30 (23), 8325-8335. doi: 10.1088/0305-4470/30/23/028

Comments on the Drinfeld realization of the quantum affine superalgebra U-q[gl(m backslash n)(1)] and its Hopf algebra structure

1996

Journal Article

Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n))

Delius, GW, Huffmann, A, Gould, MD and Zhang, YZ (1996). Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n)). Journal of Physics A-Mathematical and General, 29 (17), 5611-5617. doi: 10.1088/0305-4470/29/17/031

Quantum Lie algebras associated to U-q(gl(n)) and U-q(sl(n))

1996

Journal Article

Twisted quantum affine algebras and solutions to the Yang-Baxter equation

Delius, GW, Gould, MD and Zhang, YZ (1996). Twisted quantum affine algebras and solutions to the Yang-Baxter equation. International Journal of Modern Physics a, 11 (19), 3415-3437. doi: 10.1142/S0217751X96001632

Twisted quantum affine algebras and solutions to the Yang-Baxter equation

1996

Journal Article

Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms

Inami, T, Odake, S and Zhang, YZ (1996). Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms. Nuclear Physics B, 470 (3), 419-432. doi: 10.1016/0550-3213(96)00133-2

Reflection K-matrices of the 19-vertex model and XXZ spin-1 chain with general boundary terms

1996

Journal Article

Integrable four-Fermi models with a boundary and boson-fermion duality

Inami, Takeo, Konno, Hitoshi and Zhang, Yao-Zhong (1996). Integrable four-Fermi models with a boundary and boson-fermion duality. Physics Letters B, 376 (1-3), 90-96. doi: 10.1016/0370-2693(96)00295-X

Integrable four-Fermi models with a boundary and boson-fermion duality

1996

Journal Article

Eigenvalues of casimir invariants for type I quantum superalgebras

Gould, MD, Links, JR and Zhang, YZ (1996). Eigenvalues of casimir invariants for type I quantum superalgebras. Letters in Mathematical Physics, 36 (4), 415-425. doi: 10.1007/BF00714406

Eigenvalues of casimir invariants for type I quantum superalgebras

1996

Journal Article

Integrable electron model with correlated hopping and quantum supersymmetry

Gould, Mark D., Hibberd, Katrina E., Links, Jon R. and Zhang, Yao-Zhong (1996). Integrable electron model with correlated hopping and quantum supersymmetry. Physics letters A, 212 (3), 156-160. doi: 10.1016/0375-9601(96)00042-4

Integrable electron model with correlated hopping and quantum supersymmetry

1996

Journal Article

Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials

Gould, MD, Links, JR and Zhang, YZ (1996). Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials. Journal of Mathematical Physics, 37 (2), 987-1003. doi: 10.1063/1.531422

Type-I quantum superalgebras, q-supertrace, and two-variable link polynomials

1995

Journal Article

An extended supersymmetric t-J model

Zhang, YZ (1995). An extended supersymmetric t-J model. Acta Physica Polonica a, 88 (6), 1119-1122. doi: 10.12693/APhysPolA.88.1119

An extended supersymmetric t-J model

1995

Journal Article

Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N))

Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N)). Journal of Physics A-Mathematical and General, 28 (21), 6203-6210. doi: 10.1088/0305-4470/28/21/023

Solutions of the Yang-Baxter Equation with Extra Nonadditive Parameters .2. U-Q(gl(m-Vertical-Bar-N))

1995

Journal Article

Supersymmetric Extension of the Sine-Gordon Theory with Integrable Boundary Interactions

Inami, T, Odake, S and Zhang, YZ (1995). Supersymmetric Extension of the Sine-Gordon Theory with Integrable Boundary Interactions. Physics Letters B, 359 (1-2), 118-124. doi: 10.1016/0370-2693(95)01072-X

Supersymmetric Extension of the Sine-Gordon Theory with Integrable Boundary Interactions

1995

Journal Article

On Type-I Quantum Affine Superalgebras

Delius, GW, Gould, MD, Links, JR and Zhang, YZ (1995). On Type-I Quantum Affine Superalgebras. International Journal of Modern Physics a, 10 (23), 3259-3281. doi: 10.1142/S0217751X95001571

On Type-I Quantum Affine Superalgebras

1995

Journal Article

New Supersymmetric and Exactly Solvable Model of Correlated Electrons

Bracken, AJ, Gould, MD, Links, JR and Zhang, YZ (1995). New Supersymmetric and Exactly Solvable Model of Correlated Electrons. Physical Review Letters, 74 (14), 2768-2771. doi: 10.1103/PhysRevLett.74.2768

New Supersymmetric and Exactly Solvable Model of Correlated Electrons

1995

Journal Article

Finite-Dimensional Representations of Quantum Affine Algebras

Delius, GW and Zhang, YZ (1995). Finite-Dimensional Representations of Quantum Affine Algebras. Journal of Physics A-Mathematical and General, 28 (7), 1915-1927. doi: 10.1088/0305-4470/28/7/014

Finite-Dimensional Representations of Quantum Affine Algebras

1995

Journal Article

Quantized Affine Algebras and Parameter-Dependent R-Matrices

Bracken, AJ, Gould, MD and Zhang, YZ (1995). Quantized Affine Algebras and Parameter-Dependent R-Matrices. Bulletin of the Australian Mathematical Society, 51 (2), 177-194. doi: 10.1017/S0004972700014040

Quantized Affine Algebras and Parameter-Dependent R-Matrices

1995

Book Chapter

Infinite families of gauge-equivalent R-matrices and gradations of quantized affine algebras

Bracken, Anthony J., Gould, Mark D., Zhang, Yao-Zhong and Delius, Gustav W. (1995). Infinite families of gauge-equivalent R-matrices and gradations of quantized affine algebras. Perspectives on Solvable Models. (pp. 231-243) Singapore, Singapore: World Scientific. doi: 10.1142/9789812831279_0015

Infinite families of gauge-equivalent R-matrices and gradations of quantized affine algebras

1994

Journal Article

On the Construction of Trigonometric Solutions of the Yang-Baxter Equation

Delius, GW, Gould, MD and Zhang, YZ (1994). On the Construction of Trigonometric Solutions of the Yang-Baxter Equation. Nuclear Physics B, 432 (1-2), 377-403. doi: 10.1016/0550-3213(94)90607-6

On the Construction of Trigonometric Solutions of the Yang-Baxter Equation

1994

Journal Article

Quantum Affine Lie-Algebras, Casimir Invariants, and Diagonalization of the Braid Generator

Gould, MD and Zhang, YZ (1994). Quantum Affine Lie-Algebras, Casimir Invariants, and Diagonalization of the Braid Generator. Journal of Mathematical Physics, 35 (12), 6757-6773. doi: 10.1063/1.530641

Quantum Affine Lie-Algebras, Casimir Invariants, and Diagonalization of the Braid Generator

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

Looking for a supervisor? Read our advice on how to choose 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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