Selected publications

Last modified: August 17, 1997

Ferromagnetism in the Hubbard model

• 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.)
• Hal Tasaki.
  Stability of ferromagnetism in Hubbard models with nearly-flat bands.
  J. Stat. Phys., 84:535-653, 1996.
• 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.)

Haldane gap

• 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.
• 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.
• 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.)
• 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.

Symmetry breaking and long-range order in quantum-many body systems

• 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.)
• Tohru Koma and Hal Tasaki.
  Symmetry breaking and long range order.
  Commun. Math Phys., 158:191-214, 1993.
• 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.)

Critical phenomena and phase transitions in classical spin systems and stocahstic geometric models

• 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.
• Hal Tasaki.
  Hyperscaling inequalities for percolation.
  Commun. Math Phys., 113:49-65, 1987.
• Hal Tasaki.
  On the upper critical dimensions of random spin systems.
  J. Stat. Phys., 54:163-170, 1989.
• 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.)