Publications: 8. Frenkel-Kontorova Models
(Winter sun, Akademgorodok)
1989 - 1990
8.1. F.Borgonovi, I.Guarneri, D.L.Shepelyansky,
"Quantum Effects in the
Frenkel-Kontorova Model", Phys. Rev. Lett. v.63, p.2010-2012 (1989)
(here)
8.2. F.Borgonovi, I.Guarneri, D.L.Shepelyansky,
"Destruction of Classical
Cantori in the Quantum Frenkel-Kontorova Model", Z.Phys. B-Condensed
Matter, v.79, p.133-142 (1990)
(here)
(scan (here) )
1993
8.3. F.Borgonovi, D.L.Shepelyansky,
"Breaking of Analiticity in
2 Coupled Frenkel-Kontorova Chains", Europhys. Lett. v.21, N4 (1993)
p.413-418
(here)
2002 - 2003
8.4. O.V.Zhirov, G.Casati and
D.L.Shepelyansky,
``Fractal Spin Glass Properties of Low Energy Configurations in the
Frenkel-Kontorova chain '',
Phys. Rev. E v.65 (2002) 026220 (cond-mat/0107131)
(here)
(related ``Phonon modes in the Frenkel-Kontorova chain:
exponential localization and the number theory properties
of frequency bands'' (cond-mat/0501188)
(here) )
8.5. O.V.Zhirov, G.Casati
and D.L.Shepelyansky,
``Quantum phase transition in the Frenkel-Kontorova chain:
from pinned instanton glass to sliding phonon gas'',
Phys. Rev. E v.67 (2003) p.056209 (cond-mat/0210379)
(here)
2006
8.6. I.Garcia-Mata, O.V.Zhirov
and D.L.Shepelyansky, "Frenkel-Kontorova model with cold
trapped ions", Eur. Phys. J. D v.41, p.325-330 (2007)
(cond-mat/0606135)
(here)
2011
8.7. O.V.Zhirov and D.L.Shepelyansky,
"Wigner crystal in snaked nanochannels",
Eur. Phys. J. B v.82, pp.63-67 (2011)
(here)
(arXiv:1102.1277[cond-mat.mes-hall]
(here) )
8.8. O.V.Zhirov and D.L.Shepelyansky,
"Wigner crystal in snaked nanochannels: outlook ",
Physica B v. 407, p.1909-1911 (2012)
(here)
(arxiv:1110.1812[cond-mat.str-el]
(here) )
2013
8.9 O.V.Zhirov and D.L.Shepelyansky,
"Thermoelectricity of Wigner crystal
in a periodic potential",
Europhys. Lett. v.103, p.68008 (2013)
(here)
(arXiv:1308.2982 [cond-mat.mtrl-sci]
(here) ;
version2 (here) ))
2019
8.10 M.Y.Zakharov, D.Demidov and D.L.Shepelyansky,
"Wigner crystal diode"
(arXiv:1901.05231 [cond-mat.mes-hall]
(here) ;
v2 (here) );
"Transport properties of a Wigner crystal in one-
and two-dimensional asymmetric periodic potentials:
Wigner crystal diode" Phys. Rev. B v.99, p.155416 (2019)
(here)
8.11 O.V.Zhirov, J.Lages and D.L.Shepelyansky,
"Thermoelectricity of cold ions in optical lattices",
Eur. Phys. J. D v.73, p.149 (2019)
(here)
(arXiv:1901.09588[cond-mat.quant-gas]
(here) )
8.12. D.L.Shepelyansky,
"Quantum computer with cold ions in the Aubry pinned phase",
Eur. Phys. J. D v.73, p.148 (2019)
(here)
(arXiv:1902.09850[quant-ph] (here) ;
v2 (here) )
8.13. M.Y.Zakharov, D.Demidov and D.L.Shepelyansky,
"Thermoelectric properties of Wigner crystal
in two-dimensional periodic potential",
Eur. Phys. J. B v.93, p.31 (2020)
(here)
(arXiv:1910.12946[cond-mat.mes-hall]
(here) )
8.14. O.V..Zhirov, J.Lages and D.L.Shepelyansky,
"Thermoelectricity modeling with cold dipole atoms
in Aubry phase of optical lattice",
MDPI Appl. Sci. v.10, p.2090 (2020)
(here)
(arXiv:1911.06413[cond-mat.quant-gas]
(here) )
2020
8.15. J.Loye, J.Lages and D.L.Shepelyansky,
"Properties of phonon modes of ion trap quantum computer in
the Aubry phase",
Phys. Rev. A v.101, p.032349 (2020)
(here)
(arXiv:2002.03730[cond-mat.quant-gas]
(here) )