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 Z T = 25 being 10 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.
Highlights
The phenomenon of Aubry transition describes the transport properties of a chain of particles linked by linear springs in a periodic potential
A significant interest for a Wigner crystal transport in a periodic potential is related to the recent results showing that the Aubry phase is characterized by remarkable thermoelectric properties with high Seebeck coefficient S and high figure of merit ZT [9,15]
To find a more suitable experimental realization of Aubry transition we study here a chain of magneto-dipole atoms placed in an optical periodic potential
Summary
The phenomenon of Aubry transition describes the transport properties of a chain of particles linked by linear springs in a periodic potential. Sci. 2020, 10, 2090 transition from the sliding KAM phase to the Aubry pinned phase takes place at a certain critical potential amplitude Kc. The dependence of Kc on the density ν is obtained by a local description in terms of the Chirikov standard map [8,9]. For an experimental realization of the Aubry-like transition it was proposed to use cold ions placed in both a periodic potential and a global harmonic trap [8]. A significant interest for a Wigner crystal transport in a periodic potential is related to the recent results showing that the Aubry phase is characterized by remarkable thermoelectric properties with high Seebeck coefficient S and high figure of merit ZT [9,15]. To find a more suitable experimental realization of Aubry transition we study here a chain of magneto-dipole atoms placed in an optical periodic potential. The experimental investigations of quantum properties of cold magneto-dipole atoms allowed to observe a number of interesting many-body effects (see e.g., [25,26,27])
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