The escape rate of S → R switching (from superconducting S state to resistive R state) in Josephson junction formed by s-wave single-band (SB) and three-band (ThB) superconductors (SB/ThB junctions) in macroscopic quantum tunneling regime is investigated. We use the effective critical current approximation in SB/ThB junctions. It was shown that escape rate can exhibit qualitative features in the case of frustration effects in ThB superconductors. Inclusion of Leggett modes in ThB superconductors leads to enhancement of escape rate in three-channel Josephson junction in comparison with single-channel junctions.

1.
C. C.
Tsuei
and
J. R.
Kirtley
,
Rev. Mod. Phys.
72
,
969
(
2000
).
2.
Y.
Kamihara
,
T.
Watanabe
,
M.
Hirano
, and
H.
Hosono
,
J. Am. Phys. Soc.
130
,
3296
(
2008
).
3.
I. N.
Askerzade
,
Unconventional Superconductors: Anisotropy and Multiband Effects
(
Springer
,
Berlin
,
2012
).
4.
M.
Rotter
,
M.
Tegel
, and
D.
Johrendt
,
Phys. Rev. Lett.
101
,
107006
(
2008
).
5.
J.
Paglione
and
R. L.
Greene
,
Nat. Phys.
6
,
645
(
2010
).
6.
T.
Koyama
,
Y.
Ota
, and
M.
Machida
,
Physica C
470
,
1481
(
2010
).
8.
I. N.
Askerzade
,
Physica C
574
,
1353647
(
2020
).
9.
T.
Yanagisawa
,
Y.
Tanaka
, and
K.
Yamaji
,
J. Phys. Soc. Jpn.
81
,
024712
(
2012
).
10.
Y.
Yerin
,
A.
Omelyanchouk
,
S.-L.
Drechsler
,
D. V.
Efremov
, and
J.
van den Brink
,
Phys. Rev. B
96
,
144513
(
2017
).
11.
Y.
Yerin
and
A. N.
Omelyanchouk
,
Fiz. Nizk. Temp.
43
,
1294
(
2017
) [
Low Temp. Phys.
43, 1013 (2017)].
12.
Y. S.
Yerin
,
A. N.
Omelyanchouk
, and
E.
Il’ichev
,
Super-cond. Sci. Technol.
28
,
095006
(
2015
).
13.
Y. S.
Yerin
and
A. N.
Omelyanchouk
,
Fiz. Nizk. Temp.
40
,
1206
(
2014
) [
Low Temp. Phys.
40, 943 (2014)].
14.
I. N.
Askerzade
,
Turkish J. Phys.
22
,
811
(
1998
).
15.
K. K.
Likharev
,
Introduction Into Dynamics of Josephson Junctions and Circuits
(
Gordon Breach
,
New York
,
1986
).
16.
I.
Askerzade
,
A.
Bozbey
, and
M.
Canturk
,
Modern Aspects of Josephson Dynamics and Superconductivity Electronics
(
Springer
,
Berlin
,
2017
).
17.
A. O.
Calderia
and
A. J.
Leggett
,
Ann. Phys.
149
,
374
(
1983
).
18.
M. H.
Devoret
,
J. M.
Martinis
, and
J.
Clarke
,
Phys. Rev. Lett.
55
,
1908
(
1985
).
19.
A.
Larkin
and
A.
Varlamov
,
Theory of Fluctuations in Super-Conductors
(
Oxford Univ. Press
,
2005
).
20.
L. D.
Jackel
,
J. P.
Gordon
,
E. L.
Hu
,
R. E.
Howard
,
L. A.
Fetter
,
D. M.
Tennant
,
R. W.
Epworth
, and
J.
Kurkijärvi
,
Phys. Rev. Lett.
47
,
697
(
1981
).
21.
R. F.
Voss
and
R. A.
Webb
,
Phys. Rev. Lett.
47
,
265
(
1981
).
22.
Y.
Yerin
,
S. L.
Drechsler
, and
G. J.
Fuchs
,
J. Low Temp. Phys.
173
,
247
(
2013
).
23.
I. N.
Askerzade
and
B.
Tanatar
,
Physica C
459
,
56
(
2007
).
24.
S.-Z.
Lin
and
X.
Hu
,
Phys. Rev. Lett.
108
,
177005
(
2012
).
25.
X.
Hu
and
Z.
Wang
,
Phys. Rev. B
85
,
064516
(
2012
).
26.
S. Z.
Lin
,
J. Phys. Cond Matt.
26
,
493202
(
2014
).
27.
E.
Goldobin
,
S.
Mironov
,
A.
Buzdin
,
R. G.
Mints
,
D.
Koelle
, and
R.
Kleiner
,
Phys. Rev. B
93
,
134514
(
2016
).
28.
Z.
Huang
and
X.
Hu
,
Appl. Phys. Lett.
104
,
162602
(
2014
).
29.
S.
Döring
,
S.
Schmidt
,
F.
Schmidl
,
V.
Tympel
,
S.
Haindl
,
F.
Kurth
,
K.
Iida
,
I.
Mönch
,
B.
Holzapfel
, and
P.
Seidel
,
Supercond. Sci. Technol.
25
,
084020
(
2012
).
30.
X. H.
Zhang
,
Y. S.
Oh
,
Y.
Liu
,
L. Q.
Yan
,
K. H.
Kim
,
R. L.
Greene
, and
I.
Takeuchi
,
Phys. Rev. Lett.
102
,
147002
(
2009
).
31.
A. V.
Burmistrova
,
I. A.
Devyatov
,
A. A.
Golubov
,
K.
Yada
,
Y.
Tanaka
,
M.
Tortello
,
R. S.
Gonnelli
,
V. A.
Stepanov
,
X.
Ding
,
H.-H.
Wen
, and
L. H.
Greene
,
Phys Rev. B
91
,
214501
(
2015
).
32.
A. A.
Kalenyuk
,
A.
Pagliero
,
E. A.
Borodianskyi
,
A. A.
Kordyuk
, and
V. M.
Krasnov
,
Phys. Rev. Lett.
120
,
067001
(
2018
).
33.
Y.
Ota
,
M.
Machida
, and
T.
Koyama
,
Phys. Rev. B
83
,
060503
(
2011
).
34.
A. J.
Leggett
,
Progr. Theor. Phys.
36
,
901
(
1966
).
35.
W.
Huang
,
T.
Scaffidi
,
M.
Sigrist
, and
C.
Kallin
,
Phys. Rev. B
94
,
064508
(
2016
).
36.
R.
Gati
,
B.
Hemmerling
,
J.
Fölling
,
M.
Albiez
, and
M. K.
Oberthaler
, arXiv:0601392 (
2006
).
37.
Y.
Tanaka
,
T.
Yanagisawa
, and
T.
Nishio
,
Physica C
485
,
64
(
2013
).
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