Publications: 5. Interactions, Disorder, Anderson Localization
(Sunset, Akademgorodok)
1994
5.1. D.L.Shepelyansky,
"Coherent propagation of two interacting
particles in a random potential", Phys. Rev. Lett. v.73 (1994) p.2607-2610
(here)
1995
5.2. F.Borgonovi, D.L.Shepelyansky,
"Enhancement of localization
length for two interacting kicked rotators",
Nonlinearity v.8 (1995) p. 877-890 (cond-mat/9503075)
(here)
5.3. Ph. Jacquod, D.L.Shepelyansky,
"Hidden Breit-Wigner
distribution and other properties of random matries with preferential
basis", Phys. Rev. Lett. v.75 (1995) p.3501-3504
(here)
1996 -1997
5.4. F.Borgonovi, D.L.Shepelyansky,
"Two interacting particles in an
effective 2-3-d random potential", J. de Physique I France
v.6 (1996) p.287-299 (cond-mat/9507107)
(here) ;
update D.L.Shepelyansky, "Anderson transition in three and four effective
dimensions for the frequency modulated kicked rotator",
(arXiv:1102.4450[cond-mat.dis-nn] Feb 22 (2011)
(here) )
5.5. D.L.Shepelyansky, O.P.Sushkov,
"Few interacting particles
in a random potential", Europhys. Lett. v.37 (1997) p.121-125;
(cond-mat/9603023)
(here)
5.6. D.L.Shepelyansky,
"Interactions and localization: two
interacting particles approach", in "Correlated fermions and
transport in mesoscopic systems", Eds. T.Martin, G.Montambaux
and J.Tr\^an Thanh V\^an, Editions Frontieres, Gif-sur-Yvette,
p.201-210 (1996) (Proc. XXXI Moriond Workshop "Rencontres de Moriond",
Les Arcs, 1996 (here) ); (cond-mat/9603086)
(here)
5.7. F.Borgonovi, D.L.Shepelyansky,
"Effect of noise for
two interacting particles in a random potential",
Europhys. Lett. v.35 (1996) p.517-521 (cond-mat/9603171)
(here)
5.8. Ph.Jacquod, D.L.Shepelyansky
and O.P.Sushkov, "Breit-Wigner width
for two interacting particles in a one-dimensional random potential",
Phys. Rev. Lett. v.78 (1997) p.923 - 926, 21 May 1996 (cond-mat/9605141)
(here)
5.9. D.L.Shepelyansky,
"Two interacting particles in
the Harper model", Phys. Rev. B v.54 (1996) p.14896 - 14898
(cond-mat/9609134)
(here)
5.10. A.Barelli, J.Bellissard,
Ph.Jacquod and D.L.Shepelyansky,
"Double butterfly for two interacting particles in
the Harper model", Phys. Rev. Lett. v. 77 (1996) p.4752 - 4755,
15 Sept 1996 (cond-mat/9609135)
(here)
5.11. A.Barelli, J.Bellissard,
Ph.Jacquod and D.L.Shepelyansky,
"Two interacting Hofstadter butterflies", Phys. Rev. B v.55 (1997)
p.9524 - 9533 (cond-mat/9610182)
(here)
5.12. Ph.Jacquod and D.L.Shepelyansky,
"Two intercting quasiparticles
above the Fermi sea", Phys. Rev. Lett. v. 78 (1997) p.4986 - 4989
(cond-mat/9612006)
(here)
5.13. Ph.Jacquod and D.L.Shepelyansky,
"Emergence of quantum chaos
in finite interacting Fermi systems", Phys. Rev. Lett. v.79 (1997)
p.1837-1840 (cond-mat/9706040)
(here)
5.14. B.Georgeot and D.L.Shepelyansky,
"Breit-Wigner width and
inverse participation ratio in finite interacting Fermi systems",
Phys. Rev. Lett. v.79 (1997) p.4365-4368 (cond-mat/9707231)
(here)
1998
5.15. B.Georgeot and D.L.Shepelyansky, "Integrability
and quantum chaos in spin glass shards", Phys. Rev. Lett.,
v. 81 (1998) p. 5129 - 5132 (cond-mat/9807123)
(here)
1999 - 2000
5.16. D.L.Shepelyansky,
"Three-dimensional Anderson transition for
two electrons in two dimensions", Phys. Rev. B, v.61 (2000) p. 4588 - 4591
(cond-mat/9902246)
(here)
5.17. G.Benenti, X.Waintal,
J.-L.Pichard and D.L.Shepelyansky,
"Quantum opening of the Coulomb gap in two dimensions",
(cond-mat/9903339); "Compressibility crossover and quantum opening
of a gap for two dimensional disordered clusters with Coulomb repulsion",
Europhys. J. B v.17 (2000) p.515-521 (cond-mat/0003208)
(here)
5.18. P.H.Song and D.L.Shepelyansky,
"Low energy transition
in spectral statistics of two-dimensional interacting fermions",
Phys. Rev. B v. 61 (2000) 15546 (cond-mat/9904229)
(here)
5.19. D.L.Shepelyansky,
"Two electron view on metal-insulator
transition in two dimensions", Proc. XXXIV Rencontres de Moriond,
"Quantum Physics at the Mesoscopic Scale", Les Arcs, 1999,
(Eds. C.Glattli, M.Sanquer and J.Tr\^an Thanh V\^an,
EDP Sciences, Les Ulis 2000, p.99 (here) );
(cond-mat/9905231)
(here)
5.20. D.L.Shepelyansky and P.H.Song,
"Quantum ergodicity
for electrons in two dimensions", Proc. Localisation 99,
Ann. Phys. (Leipzig) v. 8 (1999) N 7-9, pp. 665-673 (cond-mat/9907444)
(here)
5.21. J.Lages and D.L.Shepelyansky,
"Cooper problem in
the vicinity of the Anderson transition",
Phys. Rev. B v.62 (2000) p. 8665 - 8668 (cond-mat/9911461)
(here)
5.22. J.Lages and D.L.Shepelyansky,
"Delocalization of
two-particle ring near the Fermi level of 2d Anderson model",
Eur. Phys. J. B v.21 (2001) p.129-133 (cond-mat/0002296)
(here)
(color version (here) )
5.23. G.Caldara, B.Srinivasan and
D.L.Shepelyansky,
"Ground-state properties of the two-dimensional disordered Hubbard model"
Phys. Rev. B v.62 (2000) 10680 (cond-mat/0004092)
(here)
2001
5.24. D.L.Shepelyansky,
"Quantum chaos & quantum computers" Nobel Symposium on Quantum Chaos Y2K,
June 2000, Sweden, Physica Scripta v. T90 (2001) p.112 - 120
(quant-ph/0006073) +
(here) ;
[proofs (here) ;
other (here) ]
5.25. G.Benenti and D.L.Shepelyansky,
"Magnetic field effect for two electrons in a two-dimensional potential",
Phys. Rev. B v.63 (2001) p.235103 (cond-mat/0011461)
(here)
5.26. J.Lages, G.Benenti and
D.L.Shepelyansky, ``Disordered Hubbard model with attraction:
coupling energy of Cooper pairs in small clusters'',
Phys. Rev. B v.63 (2001) p.214516 (cond-mat/0101265)
(here)
5.27. B.Srinivasan and D.L.Shepelyansky,
``Disorder and superconductivity: a new phase
of bi-particle localized states'',
Eur. Phys. J. B v.24 (2001) p.469-473 (cond-mat/0102055)
(here)
5.28. G.Benenti, G.Caldara and
D.L.Shepelyansky, "Spin-polarized ground state for interacting electrons
in two dimensions", Phys. Rev. Lett. v.86 (2001) p. 5333-5336
(cond-mat/0102326)
(here)
5.29. J.Lages and D.L.Shepelyansky,
"Phase of bi-particle localized states for the Cooper problem
in two-dimensional disordered systems",
Phys. Rev. B v. 64 (2001) p.094502 (cond-mat/0104194)
(here)
2002 - 2003
5.30. B.Srinivasan, G.Benenti and
D.L.Shepelyansky,
"Transition to an Insulating Phase Induced by Attractive Interactions
in the Disordered Three-Dimensional Hubbard Model ",
Phys. Rev. B v.66 (2002) p.172506 (cond-mat/0203508)
(here)
5.31. B.Srinivasan, G.Benenti and
D.L.Shepelyansky,
``Delocalizing effect of the Hubbard repulsion for electrons
on a two-dimensional disordered lattice'',
Phys. Rev. B v.67 (2003) p.205112 (cond-mat/0301623)
(here)
2007
5.32. 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)
2009
5.33. O.Giraud, B.Georgeot
and D.L.Shepelyansky,
"Delocalization transition for the Google matrix",
Phys. Rev. E v.80, p.026107 (2009)
(here) ;
(arxiv:0903.5172
(here) )
2010
5.34. O.V.Zhirov, A.S.Pikovsky
and D.L.Shepelyansky,
"Quantum compacton vacuum",
(arxiv:1005.0778[cond-mat]
(here) );
"Quantum vacuum of strongly nonlinear lattices",
Phys. Rev. E v.83, p.016202 (2011)
(here)
5.35. J.Lages and D.L.Shepelyansky,
"Superinsulator as a phase of bi-particle localized states",
Eur. Phys. J. B v.81, pp.237-244 (2011)
(here)
(arXiv:1011.6642v1 [cond-mat.supr-con]
(here) )
2015
5.36. K.M.Frahm and D.L.Shepelyansky,
"Freed by interaction kinetic states in the Harper model",
Eur. Phys. J. B v.88, p.337 (2015)
(here)
(arXiv:1509.02788 [cond-mat.quant-gas]
(here) ;
v2 (here) )
5.37. K.M.Frahm and D.L.Shepelyansky,
"Delocalization of two interacting particles
in the two-dimensional Harper model",
Eur. Phys. J. B v.89, p.8 (2016)
(here)
(arXiv:1510.01104 [cond-mat.quant-gas]
(here) )
5.38. P.Schlageck and D.L.Shepelyansky,
"Dynamical thermalization in Bose-Hubbard systems",
Phys. Rev. E v.93, p.012126 (2016)
(here)
(arXiv:1510.01864 [cond-mat.quant-gas]
(here) )
2016
5.39. D.L.Shepelyansky,
"Chaotic delocalization of two interacting particles
in the classical Harper model",
Eur. Phys. J. B v.89, p.157 (2016)
(here)
(arXiv:1604.03291 [cond-mat.quant-gas]
(here) )
5.39. A.R.Kolovsky and D.L.Shepelyansky,
"Dynamical thermalization in
isolated quantum dots and black holes",
Europhys. Lett. v.117, p.10003 (2017)
( (here)
only for private use);
(arXiv:1612.06630 [cond-mat.str-el]
(here) )
2018
5.40. K.M.Frahm and D.L.Shepelyansky,
"Dynamical decoherence of a qubit coupled to
a quantum dot or the SYK black hole"
Eur. Phys. J. B v.91, p.257 (2018)
( (here)
only for private use);
(arXiv:1804.10766 [cond-mat.str-el]
(here) )
2019
5.41. A.R.Kolovsky and D.L.Shepelyansky,
"Evaporative cooling and self-thermalization in an open system of
interacting fermions",
Ann. Physik (Berlin) 2019, 1900231 (2019),
DOI: 10.1002/andp.201900231
(here)
(arXiv:1902.06929[cond-mat.quant-gas] (here) )
5.42. K.M.Frahm, L.Ermann and D.L.Shepelyansky,
"Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap",
contribution to the Special Issue in memory of Shmuel Fishman to appear
at MDPI Condensed Matter journal, submitted 16 July (2019)
(here) ; published article
MDPI Condens. Matter v.4, p.76 (2019) (here)
(arXiv:1907.06711[cond-mat.quant-gas]] (here) )
2020
5.43. K.M.Frahm and D.L.Shepelyansky,
"Electron pairing by Coulomb repulsion in narrow band structures",
Phys. Rev. Research v.2, p.023354 (2020)
(here)
(arXiv:2002.06556[cond-mat.supr-con]
(here) )
5.44. K.M.Frahm and D.L.Shepelyansky,
"Coulomb electron pairing in a tight-binding model of La-based cuprate superconductors",
Eur. Phys. J. B v.94, p.29 (2021)
(here)
(doi.org/10.1140/epjb/s10051-020-00035-1);
bw copy (here) ;
proofs copy (here) ;
(arXiv:2007.12414[cond-mat.supr-con]
(here) )
2022
5.45. L.Ermann, K.M.Frahm and D.L.Shepelyansky,
"Loschmidt echo and Poincare recurrences of entanglement",
J. Phys. A: Math. Theor. v.55, p.234004 (2022)
(here);
(arXiv:2201.02600[quant.ph]
(here) )
5.46. K.M.Frahm and D.L.Shepelyansky,
"Cooper approach to pair formation in a tight-binding model
of La-based cuprate superconductors",
Eur. Phys. J. B v.95, p.187 (2022)
(here) (only for personal use);
(public link) ;
(arXiv:2209.09057[cond-mat.supr-con] (here) )