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學歷 |
- 美國約翰霍普金斯大學物理系博士 1967/09-1970/09
- 國立成功大學物理系學士 1962/09-1966/06
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現職與經歷 |
現職：國立清華大學物理系教授 (1974/08- )
經歷：
- 美國加州大學 物理系 訪問研究員 (1982/02-1983/01)
- 國立清華大學 物理系 副教授 (1971/08-1974/07)
- 美國紐約大學 物理系 副研究員 (1970/09-1971/07)
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榮譽 |
- 90年度傑出教學獎
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研究領域 |
- 統計物理
- 固態物理
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研究興趣與成果 |
Updated
on September 3, 2006 本人之研究工作專注在自旋系統之相變化及臨界性質。探討之系統包含Ising模型、Potts模型、Heisenberg模型等。研究方法主要使用高溫數列展開法以及各種等效場近似法，其他如蒙地卡羅模擬法及再歸元群法等亦曾使用。
當一自旋系統之準確解未知時，一般認為以高溫數列展開法求得之臨界性質最為可靠。我們曾計算exchange interaction模型、各向異性Heisenberg模型、平面古典Heisenberg模型等系統之高溫數列展開式，並求得相當可靠之臨界性質。在研究中，我們發展出以數值來代表及辨識圖形的簡單方法。我們也定義一晶格常數系統，以往使用之晶格常數均為本系統之特例。
當模型之相變化為一階相變，或當模型較複雜高溫數列之計算困難時，我們以各種等效場近似解來計算其熱力性質。我們發展出有系統的改進等效場近似解的方法。我們發現一些具有多極矩交互作用的反鐵磁性模型可有二次以上之相變。
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代表著作 |
- [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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- 全部著作
(Click 展開/隱藏)
- 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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