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Professor
Chen,Hsin-Hsiung
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Office¡G886-3-5731110 (PHYS R520)
Fax¡G886-3-5723052
E-mail¡Gchen@phys.nthu.edu.tw
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Education |
- 1967-1970 Ph.D. in Electrical Engineering, Johns Hopkins University, U.S.A.
- 1962-1966 B.E. in Electrical Engineering, National Cheng Kung University,R.O.C.
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Professional Experience |
Current
position¡G
1974-present, Professor
of Physics, National Tsing Hua University, R.O.C.
Experience¡G
- 1982-1983, Visiting Scholor in Physics Dept., UC San Diego
- 1971-1974, Adjunct Professor of Physics Dept., National Tsing Hua University, R.O.C.
- 1970-1971, Research Associate of Physics Dept., New York University
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Honors and
Awards |
- 2001 Outstanding Teacher Award
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Research Fields |
- Statistical Physics
- Solid State Physics
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Research Interests
and achievement |
Updated
on September 3, 2006
My research work
focused on phase transitions and critical phenomena of
spin models. Systems studied included the Ising model,
Potts model, Heisenberg model, etc. Methods used to investigate
these systems were mainly various effective-field approximations
and high temperature series expansions. Other techniques
such as Monte Carlo simulations, the renormalization
group approach were also applied.
When the exact solution is not available, it is generally
believed that the high temperature series expansion method
predicts most accurate critical properties of a spin
model. We had calculated series expansions for the exchange
interaction model, anisotropic Heisenberg model, planar
classical Heisenberg model, etc. Reliable estimates of
critical properties were obtained. In these studies,
we developed a simple technique to represent and identify
graphs numerically. We also proposed a unified definition
of lattice constants such that various lattice constant
systems previously studied are special cases of the generalized
lattice constants.
For systems with first-order phase transitions or having
complicated interactions, we determined thermodynamic
properties qualitatively by various effective-field approximations.
We developed a systematic approach to improve the effective-field
approximations. We found that some antiferromagnetic
systems with multipole interactions would have two or
more successive phase transitions.
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Selected Publications |
- [2000] T.C. King and H.H. Chen, Cluster variation studies of the anisotropic exchange interaction model, Physica A 267 153 (1999), 359(2000)
- [1995] H.H. Chen, F. Lee and Y.M. Kao, Variational analyses of series expansions of the Potts model, Phys. Rev. B52, 39 (1995)
- [1993] H.H. Chen, S.C. Gou and Y.C. Chen, Antiferromagnetic ordering and phase transitions in the exchange interaction model and the Potts model on general lattices, Phys. Lett. A177, 248 (1993)
- [1991] Y.C. Chen, H.H. Chen and F. Lee, Quantum Monte Carlo study of the spin-1/2 Heisenberg model, Phys. Rev. B43, 11082 (1991)
- [1989] H.C. Tseng and H.H. Chen, A real-space renormalization group study of a semi-infinite Ising model, J. Phys. A22, 3351 (1989)
- [1981] F. Lee and H.H. Chen, Low temperature series expansions for lattices of non-integral dimensions, Phys. Lett., 82A, 140 (1981)
- [1973] H.H. Chen and P.M. Levy, Dipole and quadrupole phase transitions in spin-1 models, Phys. Rev. B7, 4267 (1973)
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- All
Publications (Expansible)
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- H.H. Chen, R.I. Joseph, "Spin S Exchange Ineraction Model of Ferromagnetism", Phys. Lett., 30A, 449-450 (1969).
- H.H. Chen, R.I. Joseph, "Possibility of Multipolar Ordering in the Exchange-Interaction Model of Ferromagnetism", Phys. Rev. B2, 2706-2709 (1970).
- H.H. Chen, R.I. Joseph, "Thermodynamic Properties of the Exchange Interaction Model of Ferromagnetism", Phys. Lett., 31A, 251-252 (1970).
- H.H. Chen, R.I. Joseph, "Critical Properties of the Exchange Interaction Model of Ferromagnetisms", Solid State Comm. 8, 459-460 (1970).
- H.H. Chen, P.M. Levy, "Quadrupole Phase Transitions in Magnetic Solids", Phys. Rev. Lett., 27, 1383-1385 (1971).
- P.M. Levy and H.H. Chen, "Structural and Magnetic Phase Transitions in Rare-Earth Pnictides", Phys. Rev. Lett., 27, 1385-1388 (1971).
- H.H. Chen and P.M. Levy, "Quadrupole Coupling in the Rare-Earth Pnictides", AIP Conf. Proc. 5, 373-377 (1972).
- H.H. Chen, R.I. Joseph, "Exchange Interaction Model of Ferromagnetism", J. Math. Phys., 13, 725-739 (1972).
- D.C. Jou, H.H. Chen, "Critical Temperatures of the Anisotropic Heisenberg Antiferromagnets", Phys. Lett., 45A, 239-240 (1973).
- H.H. Chen, P.M. Levy, "High Temperature Series Expansions for a Spin-One Model of Ferromagnetism", Phys. Rev. B7, 4282-4289 (1973).
- L.F. Uffer, P.M. Levy, H.H. Chen, "Cooperative Jahn-Teller Effect in Dysprosium Antimonide", AIP Conf. Proc. 10, 553-557 (1973).
- T.J. Moran, R.L. Thomas, P.M. Levy and H.H. Chen, "Elastic Properties of DySb Near the Magnetic and Structural Phase Transition", Phys. Rev. B7, 3238-3241 (1973).
- H.H. Chen, P.M. Levy, "Dipole and Quadrupole Phase Transitions in Spin-l Models", Phys. Rev. B7, 4267-4284 (1973).
- D.C. Jou, H.H. Chen, "High Temperature Susceptibility Series for the Spin-l/2 Anisotropic Heisenberg Model", J. Phys. C, 6, 2713-2720 (1973).
- D.C. Jou, H.H. Chen, "Critical Temperatures of the Anisotropic Heisenberg Ferromagnets", Phys. Lett., 43A, 79-80 (1973).
- H.H. Chen, "On Biquaradatic Exchange Interactions in Spin-l System", Phys. Lett., 50A, 363-364 (1974).
- H.H. Chen and C.S. Hsue, "Surface Properties of a Ferromagnet Near the Critical Temperature: Molecular-Field Approximation", J. Phys. C, 7, 4104-4112 (1974).
- D.C. Jou and H.H. Chen, "Phase Transitions in Two-Dimensional Anisotropic Heisenberg Ferromagnets", Proc. NSC, Part 1, 39-44 (1975).
- H.H. Chen, "On Surface Phase Transitions of Ferromagnetic System: Oguchi Method and Constant-Coupling Approximation", J. Phys. C, 9, 2395-2399 (1976).
- K.G. Chen, H.H. Chen, C.S. Hsue, F.Y. Wu, "Planar Classical Heisenberg Model with Biquadratic Interactions", Physica, 87A, 629-632 (1977).
- K.G. Chen, H.H. Chen, C.S. Hsue, "Quadrupole Phase Transition of a Planar Classical Heisenberg Model", Physica, 93A, 526-530 (1978).
- H.H. Chen, "Application of Landau's Theory of Second-Order Phase Transition to System with Two Order Parameters", IL Nuovo Cimento, 43B, 277-282 (1978).
- H.H. Chen, F. Lee, "An Equivalent Neighbor Model for a Lattice of Arbitrary Dimensionality, Having Any Anisotropy and Range of Interaction", Phys. Lett., 70A, 77-80 (1979).
- H.H. Chen, F. Lee, "A Generalised Equivalent Neighbor Model I. Derivation of the High-Temperature Lattice Constants", J. Phys. C, 13, 2817-2831 (1980).
- F. Lee, H.H. Chen, "Low Temperature Series Expansions for Lattices of Non-Integral Dimensions", Phys. Lett., 82A, 140-142 (1981).
- H.H. Chen, A.P. Sun and F. Lee, "Critical Properties of Heisenberg Model on the Generalized Equivalent Neighbor Lattice", Proc. NSC, 5B, 277-281 (1981).
- H.H. Chen, F. Lee, "Numerical Representation and Identification of Graphs", J. Math. Phys., 22, 2727-2731 (1981).
- H.H. Chen and F. Lee, "Series Analysis of High-Temperature Susceptibility for the Four-Dimensional Ising Model", Proc. NSC, 6B, 257-261(1982).
- H.H. Chen, S. Ma, "Low Temperature Behavior of a One-Dimensional Random Ising Model", J. Stat. Phys., 29, 717-746 (1982).
- H.H. Chen, "Weak Lattice Constants and the Virial Expansion for a Classical Gas", J. Phys. A, 17, 197-209 (1984).
- H.H. Chen, F. Lee, "Lattice Constant Systems and Some of Their Properties", J. Phys. A, 17, 2225-2232 (1984).
- F. Lee, H.H. Chen, "Free Multipicities and Weak Lattice Constants", Phys. Rev. B30, 2724-2728 (1984).
- H.H. Chen, T.C. Leung, "Three-Spin Correlations of the Ising Model on q = 3 Lattices", Chinese J. Phys. 23, 1-3 (1985).
- W.H. Huang, H.H. Chen, "A Spin System with Coupled Ising and Heisenberg Interactions", Chinese J. Phys. 24, 81-96 (1986).
- H.H. Chen, F. Lee and H.C. Tseng, "Modified Migdal-Kadanoff Renormalization for the Ports Model", Phys. Rev. B34, 6448-6452 (1986).
- H.H. Chen, Y.C. Chen, F. Lee, "Migdal-Kadanof Renormalization for the Exchange Interaction Model", Phys. Lett. A125, 235-236 (1987).
- H.H. Chen, C.K. Peng, "Size Dependence of Virial Coefficients for Classical Gases", J. Phys. A, 21, 419-426 (1988).
- F. Lee, H.H. Chen, H.C. Tseng, "Preservation of the Free Energy in a Migdal-Kadanoff Approximation for the Spin-l/2 Anisotropic Heisenberg Model", Phys. Rev. B37, 5371-5374 (1988).
- F. Lee, H.H. Chen, H.C. Tseng, "Modified Migdal-Kadanoff Renormalization for the Spin-l/2 Anisotropic Heisenberg Model", Phys. Rev. B38, 508-511 (1988).
- Y.C. Chen, H.H. Chen, F. Lee, "Quantum Monte Carlo Study of the One-Dimensional Exchange Interaction Model", Phys. Lett. A130, 257-259 (1988).
- H.C. Tseng, H.H. Chen, "A Real-Space Renormalization Group Study of a Semi-Infinite Ising Model", J. Phys. A, 22, 3351-3359 (1989).
- F. Lee, H.H. Chen, F.Y. Wu, "Exact Duality-Decimation Transformations and Real-Space Renormalization for the Ising Model on a Square Lattice", Phys. Rev. B40, 4871-4876 (1989).
- H.H. Chen, F. Lee, "Real-Space Renormalization-Group Study of the Exchange Interaction Model", Phys. Rev. B42, 10540-10544 (1990).
- Y.C. Chen, H.H. Chen, F. Lee, "Quantum Monte Carlo Study of the Spin-l/2 Heisenberg Model", Phys. Rev. B43, 11082-11087 (1991).
- F. Lee, H.H. Chen, "Renormalization Study of Self-Avoiding Walks by Using the Centered-Rule Weight Functions", Int. J. Mod. Phys. B5, 3267-3274 (1991).
- H.H. Chen, S.C. Gou, Y.C. Chen, "Polarization of the Spin-S Exchange Interaction Model", Phys. Rev. B46, 8323-8328 (1992).
- H.H. Chen, S.C. Gou, Y.C. Chen, "Antiferromagnetic Ordering and Phase Transitions in the Exchange Interaction Model and the Potts Model on General Lattices", Phys. Lett. A177, 248-252 (1993).
- H.H. Chen and F. Lee, "Constant-Coupling Approximation of the Exchange-Interaction Model of Ferromagnetism", Phys. Rev. B48, 9456-9461 (1993).
- S.-C. Gou and H. H. Chen, "Exhcnage-interaction Model on the Simple-cubic Lattice", Phys. Rev. B49, 1450-1453 (1994).
- T.C. King and H.H. Chen, The Anisotropic Exchange Interaction Model : From the Potts Model to the Exchange-Interaction Model, Phys. Rev. B51, 8617-8620 (1995).
- H.H. Chen, F. Lee and Y.M. Kao, Variational Analyses of Series Expansions of the Potts Model, Phys. Rev. B52, 39-41 (1995).
- Y. M. kao, F. Lee and H.H. Chen, Variational Analyses of Series Expansions for the Exchange Interaction Model, Phys. Rev. B53. 8192-8195 (1996).
- T. C. King and H. H. Chen, Cluster Variation Studies of the Anisotropic Exchange Interaction Model, Physica A267, 153-164(1999).
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