A Condition for first order phase transitions in quantum mechanical tunneling models

A criterion is derived for the determination of parameter domains of first order phase transitions in quantum mechanical tunneling models. The criterion is tested by application to various models, in particular to some which have been used recently to explore spin tunneling in macroscopic particles. In each case agreement is found with previously heuristically determined domains.

References(11)

Figures(0)

[1]

Phase transitions in the problem of the decay of a metastable state

Eugene M. Chudnovsky

- Phys.Rev.A 46 (1992) 12, 8011
•
DOI:
- 10.1103/PhysRevA.46.8011

[2]

and

D.A. Gorokhov
,
G. Blatter

- Phys.Rev.B 56 (1997) 3130

[3]

Periodic instantons and quantum classical transitions in spin systems

J.Q. Liang
(
- Kaiserslautern U.
)
,
H.J.W. Muller-Kirsten
(
- Kaiserslautern U.
)
,
D.K. Park
(
- Kaiserslautern U.
)
,
F. Zimmershied
(
- Kaiserslautern U.
)

- Phys.Rev.Lett. 81 (1998) 216-219
•
e-Print:
- cond-mat/9805209
•
DOI:
- 10.1103/PhysRevLett.81.216

[4]

Rev. B, Phys (1998) to appear

S.Y. Lee
,
H.J.W. Müller-Kirsten
,
D.K. Park
,
F. Zimmerschied

[5]

102

D.A. Garanin
,
E.M. Chudnovsky

- Phys.Rev.B 56 (1997) 11

[6]

First- and Second-Order Transitions between Quantum and Classical Regimes for the Escape Rate of a Spin System

E.M. Chudnovsky
(
- Lehman Coll.
)
,
D.A. Garanin
(
- Lehman Coll.
)

- Phys.Rev.Lett. 79 (1997) 4469-4472
•
e-Print:
- cond-mat/9805060
•
DOI:
- 10.1103/PhysRevLett.79.4469

[7]

Chang Park and Dal-Ho Yoon, Escape rate of the nanospin system in a magnetic field:The first order phase transition within quantum regime

Soo Park
,
D.K. S.-K. Yoo

e-Print:
- cond-mat/9807344

[8]

Skyrme sphalerons of an O(3) sigma model and the calculation of transition rates at finite temperature

F. Zimmerschied
(
- Kaiserslautern U.
)
,
D.H. Tchrakian
(
- NUIM, Maynooth and
- Dublin Inst.
)
,
H.J.W. Muller-Kirsten
(
- Kaiserslautern U.
)

- Fortsch.Phys. 46 (1998) 147-187
•
e-Print:
- hep-th/9708165
•
DOI:
- 10.1002/(SICI)1521-3978(199803)46:2<147::AID-PROP147>3.0.CO;2-H

[9]

Solitons, bounces and sphalerons on a circle

Jiu-Qing Liang
(
- Kaiserslautern U. and
- CCAST World Lab, Beijing and
- Shanxi U.
)
,
H.J.W. Muller-Kirsten
(
- Kaiserslautern U.
)
,
D.H. Tchrakian
(
- Kaiserslautern U. and
- NUIM, Maynooth and
- Dublin Inst.
)

- Phys.Lett.B 282 (1992) 105-110
•
DOI:
- 10.1016/0370-2693(92)90486-N

[10]

H.J.W. Müller-Kirsten
,
J.-Z. Zhang
,
D.H. Tchrakian

- Int.J.Mod.Phys.A 5 (1990) 1319

[11]

Zhou, F., Jian-Ge Zimmerschied and F.-C. Pu, Quantum tunneling of a spin system in a periodically recurring asymmetric potential, Report KL-TH96/13, unpublished. 12

J.-Q. Liang
,
H.J.W. Müller-Kirsten