2011
DOI: 10.1103/physrevb.84.134508
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Renormalization group approach to spinor Bose-Fermi mixtures in a shallow optical lattice

Abstract: We study a mixture of ultracold spin-half fermionic and spin-one bosonic atoms in a shallow optical lattice where the bosons are coupled to the fermions via both density-density and spin-spin interactions. We consider the parameter regime where the bosons are in a superfluid ground state, integrate them out, and obtain an effective action for the fermions. We carry out a renormalization group analysis of this effective fermionic action at low temperatures, show that the presence of the spinor bosons may lead t… Show more

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Cited by 7 publications
(10 citation statements)
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“…On the other hand, Chern-Simons term becomes important in the description of fractional quantum Hall effect (FQHE) in graphene [35,36,37,39,40,41,42,43]. A way to understand the nature of these states is provided by the composite Fermion(CF) theory [44] in which the state of the system is described in terms of CF quasiparticles which correspond to electrons bound to an even number (2k) of vortices of flux quantum Φ 0 = hc e .…”
Section: The Soliton Solutionmentioning
confidence: 99%
“…On the other hand, Chern-Simons term becomes important in the description of fractional quantum Hall effect (FQHE) in graphene [35,36,37,39,40,41,42,43]. A way to understand the nature of these states is provided by the composite Fermion(CF) theory [44] in which the state of the system is described in terms of CF quasiparticles which correspond to electrons bound to an even number (2k) of vortices of flux quantum Φ 0 = hc e .…”
Section: The Soliton Solutionmentioning
confidence: 99%
“…The first member of the 4f mono-nitride series, CeN, has identical f occupancy and an anomalously short lattice constant, similar to PaN, yet is observed 15 to undergo a B1-B2 structural transition at high pressure similar to that observed in ThN. 14…”
mentioning
confidence: 91%
“…Recent works [30][31][32][33][34][35] incorporate GB term with a dynamical coupled scalar field in the Einstein-Hilbert action in 4-dimension. Further there are several generalizations [36][37][38][39][40][41] including higher order string curvature corrections or even modifying theory of gravity with F (R, G) term to study dynamics of dark energy.…”
Section: Introductionmentioning
confidence: 99%
“…In most of the works, viz., [30,31] and [32] exponential scalar coupling as well as potential yield either quintessence or de-Sitter era or phantom era of late time acceleration. The scalar-Einstein Gauss Bonnet gravity have been investigated [30][31][32][33][34][35][36][37][38][39][40][41] extensively in the literature, however the GB interaction in the generalized scalar-tensor theory (or in the Jorden Brans-Dicke theory ) have not yet been explored except a few, viz. [42,43].…”
Section: Introductionmentioning
confidence: 99%