Publications in refereed journals

Last modified: February 4, 1998

1. Takashi Hara and Hal Tasaki.
   Fisher's inequality revisited.
   Phys. Lett., 100A:1666-1668, 1984.
2. Hal Tasaki and Takashi Hara.
   Mean field bound and GHS inequality.
   J. Stat. Phys., 35:99-107, 1984.
3. Takashi Hara, Tetsuya Hattori, and Hal Tasaki.
   Skeleton inequalities and mean field properties for lattice spin systems.
   J. Math. Phys., 26:2922-2929, 1985.
4. Hal Tasaki.
   Gaussian bounds for correlations in lattice spin systems.
   J. Stat. Phys., 38:873-890, 1985.
5. Hal Tasaki and Takashi Hara.
   Collapse of random surface in connected plaquette model.
   Phys. Lett., 112A:115-118, 1985.
6. Hiroyuki Ito and Hal Tasaki.
   Stability theory for nonlinear Klein-Gordon kinks and the Morse's index theorem.
   Phys. Lett., 113A:179-182, 1985.
7. Takashi Hara and Hal Tasaki.
   A rigorous control of logarithmic correction in four dimensional \varphi^4 spin systems II. critical behavior of susceptibility and correlation length.
   J. Stat. Phys., 47:92-121, 1987.
8. Hal Tasaki.
   On the motion of the first Lee-Yang zero.
   288:1164-1166, 1987.
9. Hal Tasaki.
   Critical phenomena in fractal spin systems.
   J. Phys., A20:4521-4529, 1987.
10. Hal Tasaki and Takashi Hara.
    Critical behavior in a system of branched polymers.
    Prog. Theor. Phys. Suppl., 92:14-25, 1987.
11. Takashi Hara and Hal Tasaki.
    Rigorous renormalization group analysis of \varphi^4 field theory.
    Prog. Theor. Phys. Suppl., 92:26-45, 1987.
12. Hal Tasaki.
    Geometric critical exponent inequalities for general random cluster models.
    J. Stat. Phys., 113:841-847, 1987.
13. Hal Tasaki.
    Hyperscaling inequalities for percolation.
    Commun. Math Phys., 113:49-65, 1987.
14. Ian Affleck, Tom Kennedy, Elliott H. Lieb, and Hal Tasaki.
    Rigorous results on valence-bond ground states in antiferromagnets.
    Phy. Rev. Lett., 59:899-902, 1987.
15. Ian Affleck, Tom Kennedy, Elliott H. Lieb, and Hal Tasaki.
    Valence-bond ground states in isotropic quantum antiferromagnets.
    Commun. Math Phys., 115:477-528, 1988.
16. Hideki Takayasu and Ikuko Nishikawa andHal Tasaki.
    Power law mass distribution of aggregation systems with injection.
    Phy. Rev., A37:3110-3117, 1988.
17. Tom Kennedy, Elliott H. Lieb, and Hal Tasaki.
    A two dimensional isotropic quantum antiferromagnet with unique disordered ground state.
    J. Stat. Phys., 53:383-415, 1988.
18. Hal Tasaki.
    On the upper critical dimensions of random spin systems.
    J. Stat. Phys., 54:163-170, 1989.
19. Hal Tasaki.
    Order and disorder in the resonating-valence-bond state.
    Phy. Rev., B40:9183-9191, 1989.
20. Hal Tasaki.
    Extension of Nagaoka's theorem on the large-U Hubbard model.
    Phy. Rev., B40:9192-9193, 1989.
21. Hal Tasaki.
    Haldane gap in three dimensions: A rigorous example.
    Phy. Rev. Lett., 64:2066-2069, 1990.
22. Hal Tasaki.
    Marshall-Lieb-Mattis theorem for a class of t-J model.
    J.Phys., A23:L557-L560, 1990.
23. Hal Tasaki and Mahito Kohmoto.
    Resonating-valence-bond ground state in a large-n t-J model.
    Phy. Rev., B42:2547-2550, 1990.
24. Hal Tasaki.
    Quantum liquid in antiferromagnets: A stochastic geometric approach to the Haldane gap.
    Phy. Rev. Lett., 66:798-801, 1991. (Erratum in Phy. Rev. Lett., 75:354, 1995.)
25. Hal Tasaki.
    Haldane gap antiferromagnets in a transverse magnetic field.
    J. Phys.: Condens. Matter, 3:5875-5880, 1991.
26. Tom Kennedy and Hal Tasaki.
    Hidden Z2×Z2 symmetry breaking in Haldane gap antiferromagnets.
    Phy. Rev., B45:304-307, 1992.
27. Tom Kennedy and Hal Tasaki.
    Hidden symmetry breaking and the Haldane phase in S=1 quantum spin chains.
    Commun. Math Phys., 147:431-484, 1992.
28. Mahito Kohmoto and Hal Tasaki.
    Hidden Z2×Z2 symmetry breaking and the Haldane phase in S = 1/2 quantum spin chain with bond alternation.
    Phy. Rev., B46:3486-3495, 1992.
29. Tohru Koma and Hal Tasaki.
    Decay of superconducting and magnetic correlations in one and two dimensional Hubbard models.
    Phy. Rev. Lett., 68:3248-3251, 1992.
    (Archived as cond-mat/9709068. Link to server in US, Italy, Japan.)
30. Hal Tasaki.
    Ferromagnetism in the Hubbard model with degenerate single-electron ground states.
    Phy. Rev. Lett., 69:1608-1611, 1992.
31. Tohru Koma and Hal Tasaki.
    Symmetry breaking and long range order in Heisenberg antiferromagnets.
    Phy. Rev. Lett., 70:93-95, 1993.
32. Hal Tasaki.
    Exact resonating-valence-bond ground state and possibility of superconductivity in repulsive Hubbard model.
    Phy. Rev. Lett., 70:3303-3306, 1993.
33. Tohru Koma and Hal Tasaki.
    Symmetry breaking and long range order.
    Commun. Math Phys., 158:191-214, 1993.
34. Andreas Mielke and Hal Tasaki.
    Ferromagnetism in the Hubbard model -- examples from models with degenerate single-electron ground states.
    Commun. Math Phys., 158:341-371, 1993.
    (Archived as cond-mat/9305026. Link to server in US, Italy, Japan.)
35. Hal Tasaki.
    Uniqueness of ground states in exactly solvable Hubbard, periodic Anderson, and Emery models.
    Phy. Rev., B49:7763-7766, 1994.
36. Tohru Koma and Hal Tasaki.
    Symmetry breaking and finite size effects in quantum many-body systems.
    J. Stat. Phys., 76:745-803, 1994.
    (Archived as cond-mat/9708132. Link to server in US, Italy, Japan.)
37. Hal Tasaki.
    Stability of ferromagnetism in the Hubbard model.
    Phy. Rev. Lett., 73:1158-1161, 1994.
38. Tohru Koma and Hal Tasaki.
    Classical XY-model in 1.99 dimensions.
    Phy. Rev. Lett., 74:3916-3919, 1995. (Erratum in Phy. Rev. Lett., 75:984, 1995.)
    (Archived as cond-mat/9708126. Link to server in US, Italy, Japan.)
39. Hal Tasaki.
    Ferromagnetism in Hubbard models.
    Phy. Rev. Lett., 75:4678-4681, 1995.
    (Archived as cond-mat/9509063. Link to server in US, Italy, Japan.)
40. Hal Tasaki.
    Stability of ferromagnetism in Hubbard models with nearly-flat bands.
    J. Stat. Phys., 84:535-653, 1996.
41. Hal Tasaki
    From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
    Phys. Rev. Lett., 80:1373-1376, 1998.
    (Archived as cond-mat/9707253. Link to server in US, Italy, Japan.)
42. Hal Tasaki
    From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
    Prog. Theor. Phys., 99:489--548, 1998.
    (Archived as cond-mat/9712219. Link to server in US, Italy, Japan.)
43. Hal Tasaki
    The Hubbard Model: Introduction and Selected Rigorous Results
    J. Phys. Cond. Matt. 10:4353--4378, 1998.
    (Archived as cond-mat/9512169. Link to server in US, Italy, Japan.)
44. Hal Tasaki
    Ferromagnetism in the Hubbard model --- a constructive approach
    Commun. Math. Phys. 242, 445--472 (2003)
45. Rapahel Lefevere and Hal Tasaki
    High-Temperature Expansion for Nonequilibrium Steady States in Driven Lattice Gases
    Phys. Rev. Lett. 94, 200601 (2005)
46. Hal Tasaki
    The Coefficient of Restitution Does Not Exceed Unity
    J. Stat. Phys. 123, 1361--1374 (2006)
47. Shin-ichi Sasa and Hal Tasaki
    Steady State Thermodynamics
    J. Stat. Phys. 125, 125--227 (2006)
48. Christian Maes and Hal Tasaki
    Second Law of Thermodynacmis for Macroscopic Mechanics Coupled to Thermodynamic Degrees of Freedom
    Lett. Math. Phys. 79, 251--261 (2007)
49. Akinori Tanaka and Hal Tasaki
    Meatallic Ferromagnetism in the Hubbard Model: A Rigorous Example
    Phys. Rev. Lett. 98, 116402 (2007)
50. Teruhisa S. Komatsu, Naoko Nakagawa, Shin-ichi Sasa, and Hal Tasaki
    Steady State Thermodynamics for Heat Conduction: Microscopic Derivation
    Phys. Rev. Lett. 100, 230602 (2008), archived as 0711.0246.
51. Teruhisa S. Komatsu, Naoko Nakagawa, Shin-ichi Sasa, and Hal Tasaki
    Representation of nonequilibrium steady states in large mechanical systems
    J. Stat. Phys., in press