Hal Tasaki

(田﨑晴明)

Profile Information

Affiliation: Professor, Faculty of Science Department of Physics, Gakushuin University

Degree: 理学博士

J-GLOBAL ID: 201301011914383202
researchmap Member ID: 7000005963

External link: http://www.gakushuin.ac.jp/~881791/halJ.htm

Research Interests

Research Areas

Natural sciences / Mathematical physics and basic theory /

Research History

Awards

1997

第一回久保亮五記念賞
1997

1st Kubo memorial prize

Misc.

102

HIDDEN Z(2)XZ(2) SYMMETRY-BREAKING AND THE HALDANE PHASE IN THE S=1/2 QUANTUM SPIN CHAIN WITH BOND ALTERNATION

M KOHMOTO, H TASAKI

PHYSICAL REVIEW B, 46(6) 3486-3495, Aug, 1992
HIDDEN SYMMETRY-BREAKING AND THE HALDANE PHASE IN S=1 QUANTUM SPIN CHAINS

T KENNEDY, H TASAKI

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 147(3) 431-484, Jul, 1992
Decay of superconducting and magnetic correlations in one and two dimensional Hubbard models.

田﨑晴明, Tohru Koma, Hal Tasaki

Phy. Rev. Lett., 68 3248-3251, 1992
HIDDEN Z2XZ2 SYMMETRY-BREAKING IN HALDANE-GAP ANTIFERROMAGNETS

T KENNEDY, H TASAKI

PHYSICAL REVIEW B, 45(1) 304-307, Jan, 1992
Ferromagnetism in the Hubbard model with degenerate single-electron ground states.

Tasaki Hal, Hal Tasaki

Phy. Rev. Lett., 69 1608-1611, 1992
Decay of superconducting and magnetic correlations in one and two dimensional Hubbard models.

Tasaki Hal, Tohru Koma, Hal Tasaki

Phy. Rev. Lett., 68 3248-3251, 1992
HIDDEN Z2XZ2 SYMMETRY-BREAKING IN HALDANE-GAP ANTIFERROMAGNETS

T KENNEDY, H TASAKI

PHYSICAL REVIEW B, 45(1) 304-307, Jan, 1992
HALDANE GAP ANTIFERROMAGNETS IN A TRANSVERSE MAGNETIC-FIELD

H TASAKI

JOURNAL OF PHYSICS-CONDENSED MATTER, 3(31) 5875-5880, Aug, 1991
Quantum liquid in antiferromagnets: A stochastic geometric approach to the Haldane gap.

田﨑晴明, Hal Tasaki

Phy. Rev. Lett., 66 798-801, 1991
Haldane gap antiferromagnets in a transverse magnetic field

H. Tasaki

Journal of Physics: Condensed Matter, 3(31) 5875-5880, 1991
Quantum liquid in antiferromagnets: A stochastic geometric approach to the Haldane gap.

Tasaki Hal, Hal Tasaki

Phy. Rev. Lett., 66 798-801, 1991
Resonating-valence-bond ground state in a large-n t-J model.

田﨑晴明, Hal Tasaki, Mahito Kohmoto

Phy. Rev., B42 2547-2550, 1990
Marshall-Lieb-Mattis theorem for a class of t-J model.

田﨑晴明, Hal Tasaki

J.Phys., A23 L557-L560, 1990
Haldane gap in three dimensions: A rigorous example.

田﨑晴明, Hal Tasaki

Phy. Rev. Lett., 64 2066-2069, 1990
Resonating-valence-bond ground state in a large-n t-J model.

Tasaki Hal, Hal Tasaki, Mahito Kohmoto

Phy. Rev., B42 2547-2550, 1990
Marshall-Lieb-Mattis theorem for a class of t-J model.

Tasaki Hal, Hal Tasaki

J.Phys., A23 L557-L560, 1990
Haldane gap in three dimensions: A rigorous example

Hal Tasaki

Physical Review Letters, 64(17) 2066-2069, 1990
Extension of Nagaoka's theorem on the large-U Hubbard model.

田﨑晴明, Hal Tasaki

Phy. Rev., B40 9192-9193, 1989
Order and disorder in the resonating-valence-bond state.

田﨑晴明, Hal Tasaki

Phy. Rev., B40 9183-9191, 1989
ON THE UPPER CRITICAL DIMENSIONS OF RANDOM SPIN SYSTEMS

H TASAKI

JOURNAL OF STATISTICAL PHYSICS, 54(1-2) 163-170, Jan, 1989
Extension of Nagaoka's theorem on the large-U Hubbard model.

Tasaki Hal, Hal Tasaki

Phy. Rev., B40 9192-9193, 1989
Order and disorder in the resonating-valence-bond state

Hal Tasaki

Physical Review B, 40(13) 9183-9191, 1989
On the upper critical dimensions of random spin systems.

Tasaki Hal, Hal Tasaki

J. Stat. Phys., 54 163-170, 1989
A TWO-DIMENSIONAL ISOTROPIC QUANTUM ANTIFERROMAGNET WITH UNIQUE DISORDERED GROUND-STATE

T KENNEDY, EH LIEB, H TASAKI

JOURNAL OF STATISTICAL PHYSICS, 53(1-2) 383-415, Oct, 1988
Power law mass distribution of aggregation systems with injection.

田﨑晴明, Hideki Takayasu, Ikuko Nishikawa, dHal Tasaki

Phy. Rev., A37 3110-3117, 1988
Power law mass distribution of aggregation systems with injection.

Tasaki Hal, Hideki Takayasu, Ikuko Nishikawa, dHal Tasaki

Phy. Rev., A37 3110-3117, 1988
VALENCE BOND GROUND-STATES IN ISOTROPIC QUANTUM ANTIFERROMAGNETS

AFFLECK, I, T KENNEDY, EH LIEB, H TASAKI

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 115(3) 477-528, 1988
Rigorous results on valence-bond ground states in antiferromagnets.

田﨑晴明, Ian Affleck, Tom Kennedy, Elliott H. Lieb, Hal Tasaki

Phy. Rev. Lett., 59 899-902, 1987
HYPERSCALING INEQUALITIES FOR PERCOLATION

H TASAKI

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 113(1) 49-65, 1987
Geometric critical exponent inequalities for general random cluster models.

田﨑晴明, Hal Tasaki

J. Stat. Phys., 113 841-847, 1987
RIGOROUS RENORMALIZATION-GROUP ANALYSIS OF PHI-4 FIELD-THEORY

T HARA, H TASAKI

PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 92(92) 26-45, 1987
Critical phenomena in fractal spin systems.

田﨑晴明, Hal Tasaki

J. Phys., A20 4521-4529, 1987
On the motion of the first Lee-Yang zero.

田﨑晴明, Hal Tasaki

J. Math. Phys., 288 1164-1166, 1987
A rigorous control of logarithmic correction in four dimensionall φ⁴ spin systems II. critical behavior of susceptibility and correlation length.

田﨑晴明, Takashi Hara, Hal Tasaki

J. Stat. Phys., 47 92-121, 1987
Rigorous results on valence-bond ground states in antiferromagnets.

Tasaki Hal, Ian Affleck, Tom Kennedy, Elliott H. Lieb, Hal Tasaki

Phy. Rev. Lett., 59 899-902, 1987
Hyperscaling inequalities for percolation.

Tasaki Hal, Hal Tasaki

Commun. Math Phys., 113 49-65, 1987
Geometric critical exponent inequalities for general random cluster models.

Tasaki Hal, Hal Tasaki

J. Stat. Phys., 113 841-847, 1987
RIGOROUS RENORMALIZATION-GROUP ANALYSIS OF PHI-4 FIELD-THEORY

T HARA, H TASAKI

PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 92(92) 26-45, 1987
CRITICAL-BEHAVIOR IN A SYSTEM OF BRANCHED POLYMERS

H TASAKI, T HARA

PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 92(92) 14-25, 1987
Critical phenomena in fractal spin systems

H. Tasaki

Journal of Physics A: General Physics, 20(13) 4521-4529, 1987
On the motion of the first Lee-Yang zero

Hal Tasaki

Journal of Mathematical Physics, 28(5) 1164-1166, 1987
A rigorous control of logarithmic correction in four dimensionall φ⁴ spin systems II. critical behavior of susceptibility and correlation length.

Tasaki Hal, Takashi Hara, Hal Tasaki

J. Stat. Phys., 47 92-121, 1987
Collapse of random surfaces in the connected plaquettes model

Hal Tasaki, Takashi Hara

Physics Letters A, 112(3-4) 115-118, Oct 21, 1985
Stability theory for nonlinear Klein-Gordon kinks and the Morse's index theorem.

田﨑晴明, Hiroyuki Ito, Hal Tasaki

Phys. Lett., 113A 179-182, 1985
Collapse of random surface in connected plaquette model.

田﨑晴明, Hal Tasaki, Takashi Hara

Phys. Lett., 112A 115-118, 1985
GAUSSIAN BOUNDS FOR CORRELATIONS IN LATTICE SPIN SYSTEMS

H TASAKI

JOURNAL OF STATISTICAL PHYSICS, 38(5-6) 873-890, 1985
Stability theory for nonlinear Klein-Gordon kinks and the Morse's index theorem.

Tasaki Hal, Hiroyuki Ito, Hal Tasaki

Phys. Lett., 113A 179-182, 1985
Gaussian bounds for correlations in lattice spin systems.

Tasaki Hal, Hal Tasaki

J. Stat. Phys., 38 873-890, 1985
SKELETON INEQUALITIES AND MEAN FIELD PROPERTIES FOR LATTICE SPIN SYSTEMS

T HARA, T HATTORI, H TASAKI

JOURNAL OF MATHEMATICAL PHYSICS, 26(11) 2922-2929, 1985
Fisher's inequality revisited.

田﨑晴明, Takashi Hara, Hal Tasaki

Phys. Lett., 100A 1666-1668, 1984

Books and Other Publications

やっかいな放射線と向き合って暮らしていくための基礎知識

朝日出版社, 2012 (ISBN: 4255006768)
統計力学 II

培風館, 2008 (ISBN: 4563024384)
統計力学 I

培風館, 2008 (ISBN: 4563024376)
くりこみ群の方法

岩波書店, 2000
熱力学：現代的な視点から

培風館, 2000 (ISBN: 4563024325)

Presentations

Hubbard Model and the Origin of Ferromagnetism

第 23 回統計力学国際会議, 2007
ハバード模型と強磁性の起源

研究会「量子解析におけるミクロマクロ双対性」, 2006
定常状態の熱力学

日本物理学会, 2005
力学的な系における熱力学第二法則

研究会「量子解析におけるミクロマクロ双対性」, 2005

Professional Memberships

Research Projects

非平衡統計力学、強磁性の起源

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