Takahashi Group

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Numerical solution of thermodynamic Bethe ansatz equations by Newton' method
 

Magnetization curve of 1D Ferromagnet

Magnetization curve calculated by Bethe ansatz method.

y-axis is magnetization and x-axis is h/T^2. As temperature
goes down it approaches universal scaling function.
 

Members
 

• Professor Minoru Takahashi
• Research associate: Masahiro Shiroishi
• Graduate cource: Jun Sato

Main Subject

• Application of quantum Monte Carlo method to Many-body problem
• Spin-wave theory for low-dimensional magnet
• Investigation of quantum one-dimensional system by Bethe ansatz

Recent Publication

THERMODYNAMICS OF ONE-DIMENSIONAL SOLVABLE MODELS

Magnetic Properties of low-dimensional quantum spin systems made of stable organic biradicals PNNNo,F₂PNNNO,and PIMNO
Y.Hosokoshi,Y.Nakazawa,K.Inoue,K.Tanizawa,H.Nakano,M.Takahashi and T.Goto
Phys.Rev.B60 12924-12932(1999)

Metamagnetism of antiferromagnetic XXZ quantum spin chains
T.Sakai and M.Takahashi
Phys.Rev.B60 7295-7298(1999)

"Spin-Gap Phases in Tomonaga-Luttinger Liquids"
M.Nakamura and M.Takahashi
Phys.Rev.B60 7850-7862(1999)

"Mechanism of CDWSDW Transition in One Dimension"
M.Nakamura
J.Phys.Soc.Jpn68 3123-3126(1999)

Exact Ground States in Spin Systems with Orbital Degeneracy
K.Itoh
J.Phys.Soc.Jpn68 322-325(1999)

Integrable Magnetic Model of Two Chains Coupled by Four-Body Interactions
N. Muramoto and M. Takahashi
J. Phys. Soc. Jpn. 68 2098-2164 (1999)

Thermodynamics of One-Dimensional Solvable Models
Minoru Takahashi
Cambridge University Press (1999)

Metamagnetism of antiferromagnetic XXZ quantum spin chains
T. Sakai and M. Takahashi
Phys. Rev. B 60　(1999) 7295-7298

Simplification of thermodynamic Bethe-ansatz equations
Minoru Takahashi
cond-mat/0010486
Proceeding of the Nagoya 2000 International Workshop, World Scientific (2001)
P299-304, Physics and Combinatrix.

Equivalence of TBA and QTM
Minoru Takahashi, Masahiro Shiroishi and Andreas Kluemper
cond-mat/0102027
J. Phys. A. Math. Gen.  34　(2001) L187-L194

High-field magnetization of an S=1/2 zigzag chain compound
 (N₂H₅)CuCl₃
M. Hagiwara, Y. Narumi, K. Kindo, N. Maeshima, K. Okunishi, T. Sasaki,
M. Takahashi
Physica B 294-295, 83-86 (2001)

Emptiness Formation Probability for the One-Dimensional Isotropic XY Model
Masahiro Shiroishi, Minoru Takahashi, Yoshihiro Nishiyama
cond-mat/0106062
J. Phys. Soc. Jpn, 70, 3535-3543 (2001)

Thermodynamic Bethe ansatz eqations of one-dimensional Hubbard model and
high temperature expansion
Minoru Takahashi, and Masahiro Shiroisi
Phys. Rev. B 65, 165104-1-9(2002)

Integral Equation Generates High-Temperature Expansion of the Heisenberg Chain
Masahiro Shiroisi, and Minoru Takahashi
cond-mat/0205180, Phys. Rev. Letters, 89, 117201-1-4 (2002)

Magnetic properties of spin-1 antiferromagnetic chains with bond alternation
M. Hagiwara, Y. Narumi, K. Kindo, M. Kohno, H. Nakano, R. Sato and M. Takahashi
RIKEN Review 46, 14-17 2002

Next Nearest-Neighbor Correlation Functions of the Spin-1/2 XXZ
Chain at Critical Region
G. Kato, M. Shiroisi, M. Takahashi, K. Sakai
cont-mat/0304475: J.Phys. A: Math. Gen. 36 No 23 L337-L344 (2003)

Third Neighbor Correlators of Spin-1/2 Heisenberg Antiferromagnet
K. Sakai, M. Shiroisi, Y. Nishiyama, M. Takahashi
cond-mat/0302564 , Phys. Rev. E  67 065101(R) 1-4 (2003).
 
Thermodynamics and Correlation Functions of XXZ Chain;
M. Takahashi, Czechoslovak Journal of Physics,  53 1125-1130 (2003).

Next Nearest Neighbor Correlation Functions of the Spin-1/2 XXZ Chain at Massive Region,
M. Takahashi, G. Kato, M. Shiroishi: cond-mat/0308589,   J. Phys. Soc. Jpn.  73  245-253 (2004).

Third-neighbour and other four-point correlation functions of spin-1/2 XXZ chain,  
G. Kato, M. Shiroishi, M. Takahashi, K. Sakai: J. Phys. A: Math. Gen. 37  1-27 (2004).

Publication list of 1996-1998