EFFECTS OF THE NEXT-NEAREST-NEIGHBOR HOPPING IN OPTICAL LATTICES
2008 ◽
Vol 22
(01)
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pp. 33-44
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Keyword(s):
Introducing the next-nearest-neighbor hopping t′ into the Bose–Hubbard model, we study its effects on the phase diagram, on the ground-state energy, and on the quasiparticle and quasihole dispersion relations of the Mott insulating phase in optical lattices. We have found that a negative value of t′ enlarges the Mott-insulating region on the phase diagram, while a positive value of t′ acts oppositely. We have also found that the effects of t′ are dependent on the dimensionality of optical lattices with its effects largest in three-dimensional optical lattices.
2012 ◽
Vol 26
(29)
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pp. 1250156
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1992 ◽
Vol 06
(20)
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pp. 1245-1253
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Keyword(s):
2019 ◽
Vol 31
(45)
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pp. 455601
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Keyword(s):
2010 ◽
Vol 162
(1-2)
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pp. 34-39
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Keyword(s):
The ground state energy of the three dimensional Ginzburg–Landau functional. Part II: Surface regime
2013 ◽
Vol 99
(3)
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pp. 343-374
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Keyword(s):
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Keyword(s):
2008 ◽
Vol 131
(6)
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pp. 1139-1154
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