Yuta Akutsu - INSPIRE

Vertical density matrix algorithm: A Higher dimensional numerical renormalization scheme based on the tensor product state ansatz

#1

(Jan, 2001)

Published in:
- Phys.Rev.E 64 (2001) 016705
•
e-Print:
- cond-mat/0101360 [cond-mat]

pdfDOI

reference search36 citations

Self-consistent tensor product variational approximation for 3D classical models

#2

(Jan 8, 2000)

Published in:
- Nucl.Phys.B 575 (2000) 504-512
•
e-Print:
- cond-mat/0001083 [cond-mat.stat-mech]

pdfDOI

reference search40 citations

Colored vertex models, colored IRF models and invariants of trivalent colored graphs

#3

Tetsuo Deguchi
(
- Tokyo U.
)
,
Yasuhiro Akutsu
(
- Osaka U.
)

(Jul 13, 1992)

Published in:
- J.Phys.Soc.Jap. 62 (1993) 19
•
e-Print:
- hep-th/9206057 [hep-th]

pdfDOI

reference search11 citations

Colored braid matrices from infinite dimensional representations of U-q(g)

#4

Tetsuo Deguchi
(
- Tokyo U.
)
,
Yasuhiro Akutsu
(
- Osaka U.
)

(Dec 28, 1991)

Published in:
- Mod.Phys.Lett.A 7 (1992) 767-780

DOI

reference search6 citations

Color representations of U-q(sl(n))

#5

Tetsuo Deguchi
(
- Tokyo U.
)
,
Yasuhiro Akutsu
(
- Osaka U.
)

(Dec 27, 1991)

reference search0 citations

Colored braid matrices and invariants of colored oriented links

#6

Tetsuo Deguchi
(
- Tokyo U.
)
,
Yasuhiro Akutsu
(
- Osaka U.
)

(Dec 17, 1991)

reference search0 citations

Invariants of colored links

#7

Yasuhiro Akutsu
(
- Osaka U.
)
,
Tetsuo Deguchi
(
- Tokyo U.
)
,
Tomotada Ohtsuki
(
- Tokyo U., Math. Sci.
)

(Nov, 1991)

reference search0 citations

A General formula for colored Z(n) graded braid matrices and the fusion braid matrices

#8

Tetsuo Deguchi
(
- Tokyo U.
)
,
Yasuhiro Akutsu
(
- Osaka U.
)

(Jul 29, 1991)

Published in:
- J.Phys.Soc.Jap. 60 (1991) 2559-2570

DOI

reference search12 citations

A New hierarchy of colored vertex models

#9

Tetsuo Deguchi
(
- Tokyo U.
)
,
Yasuhiro Akutsu
(
- Osaka U.
)

(Jul 29, 1991)

reference search0 citations

A New hierarchy of colored braid group representations

#10

Yasuhiro Akutsu
(
- Osaka U.
)
,
Tetsuo Deguchi
(
- Tokyo U.
)

(Jul 29, 1991)

Published in:
- Phys.Rev.Lett. 67 (1991) 777-780

DOI

reference search24 citations

Graded Solutions of the {Yang-Baxter} Relation and Link Polynomials

#11

Tetsuo Deguchi
(
- Tokyo U., Komaba
)
,
Yasuhiro Akutsu
(
- Kanagawa U.
)

(Nov, 1989)

Published in:
- J.Phys.A 23 (1990) 1861-1876

DOI

reference search35 citations

LINK POLYNOMIALS AND EXACTLY SOLVABLE MODELS

#12

(Apr 25, 1989)

reference search0 citations

KNOT THEORY BASED ON SOLVABLE MODELS AT CRITICALITY

#13

(Apr 14, 1989)

Published in:
- Adv.Stud.Pure Math. 19 (1989) 193-286
•
Contribution to:
- Symposium on Integrable Models in Quantum Field Theory and Statistical Mechanics (and also held in Kyoto, Japan, Oct 24-28, 1988), 193-286,
- Symposium on Integrable Models in Quantum Field Theory and Statistical Mechanics: Tanaguchi Conference (and also held in Kyuzesco, Japan, Oct 17-21, 1988)

reference search8 citations

THE YANG-BAXTER RELATION: A NEW TOOL FOR KNOT THEORY

#14

(Feb 13, 1989)

reference search0 citations

Exactly Solvable Models and Knot Theory

#15

(Feb 7, 1989)

Published in:
- Phys.Rept. 180 (1989) 247

DOI

reference search168 citations

EXACTLY SOLVABLE MODELS AND NEW LINK POLYNOMIALS

#16

(Jul, 1988)

Contribution to:
- Conference on Nonlinear Evolution Equations: Integrability and Spectral Methods

reference search0 citations

LINK POLYNOMIALS CONSTRUCTED FROM SOLVABLE MODELS IN STATISTICAL MECHANICS

#17

(Apr 28, 1988)

reference search0 citations

From Solitons to Knots and Links

#18

Miki Wadati
(
- Tokyo U., Komaba
)
,
Yasuhiro Akutsu
(
- Kanagawa U.
)

(Mar 29, 1988)

Published in:
- Prog.Theor.Phys.Suppl. 94 (1988) 1

DOI

reference search21 citations

Exactly Solvable Models and New Link Polynomials. 5. {Yang-Baxter} Operator and Braid Monoid Algebra

#19

(Feb 5, 1988)

Published in:
- J.Phys.Soc.Jap. 57 (1988) 1905-1923

DOI

reference search48 citations

Exactly Solvable Models and New Link Polynomials: 4. Irf Models

#20

(Dec 21, 1987)

Published in:
- J.Phys.Soc.Jap. 57 (1988) 1173-1185

DOI

reference search42 citations

Exactly Solvable Models and New Link Polynomials. 3. Two Variable Topological Invariants

#21

(Oct 13, 1987)

Published in:
- J.Phys.Soc.Jap. 57 (1988) 757-776

DOI

reference search45 citations

Knots, Links, Braids and Exactly Solvable Models in Statistical Mechanics

#22

Yasuhiro Akutsu
(
- Kanagawa U.
)
,
Miki Wadati
(
- Tokyo U., Komaba
)

(Aug 28, 1987)

Published in:
- Commun.Math.Phys. 117 (1988) 243

DOI

reference search40 citations

Exactly Solvable Models and New Link Polynomials. 1.

N

State Vertex Models

#23

Yasuhiro Akutsu
(
- Kanagawa U.
)
,
Miki Wadati
(
- Tokyo U., Komaba
)

(May 4, 1987)

Published in:
- J.Phys.Soc.Jap. 56 (1987) 3039-3051

DOI

reference search99 citations

EXACTLY SOLVABLE MODELS IN STATISTICAL MECHANICS

#24

Miki Wadati
(
- Tokyo U., Komaba
)
,
Yasuhiro Akutsu
(
- Kanagawa U.
)

(Jan, 1987)

reference search0 citations

Knot invariants and the critical statistical systems

#25

Y. Akutsu
(
- Kanagawa U.
)
,
M. Wadati
(
- Tokyo U., Komaba
)

(1987)

Published in:
- J.Phys.Soc.Jap. 56 (1987) 839-842

DOI

reference search71 citations

Yuta Akutsu(
Tsukuba U.
)

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Yuta Akutsu(Tsukuba U.)

Date of paper

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Yuta Akutsu(
Tsukuba U.
)