Thermoelectricity Modeling with Cold Dipole Atoms in Aubry Phase of Optical Lattice

Abstract

We study analytically and numerically the thermoelectric properties of a chain of cold atoms with dipole-dipole interactions placed in an optical periodic potential. At small potential amplitudes the chain slides freely that corresponds to the Kolmogorov-Arnold-Moser phase of integrable curves of a symplectic map. Above a certain critical amplitude the chain is pinned by the lattice being in the cantori Aubry phase. We show that the Aubry phase is characterized by exceptional thermoelectric properties with the figure of merit ZT = 25 being ten times larger than the maximal value reached in material science experiments. We show that this system is well accessible for magneto-dipole cold atom experiments that opens new prospects for investigations of thermoelectricity. PACS numbers:arXiv:1911.06413v1 [cond-mat.quant-gas]

An Analysis of Some Properties and the Use of the Twist Map for the Finite Frenkel–Kontorova Model

“…It is clear that the result is not helpful for an original finite FK chain, see Figure 1. We note that many researchers have treated finite chains [9,33,35,54,[57][58][59][60][61][62][63][64][65] (to name a few); however, they use a useless contrast of rational with irrational numbers in the finite FK model.…”