Anisotropy-mediated reentrant localization.

Motivated by the recently discovered localization in disordered dipolar quantum systems, which is robust against effective power-law hopping $r^{-a}$ of dipole-flip excitations induced by dipole-dipole interactions, we consider 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $\sim r^{-a}$, actual for experiments on trapped ions. We show that the homogeneous tilt $\beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial delocalization and reentrant localization. We find that the Anderson transitions occur at the finite values of the tilt parameter $\beta = a$, $0 a_{AT}$. This localization emerges due to the presence of the ergodic extended states at either spectral edge, which constitute a zero fraction of states in the thermodynamic limit, decaying though extremely slowly with the system size. The extended phase, $a

Keywords:

• Delocalized electron
• Ergodic theory
• Ergodicity
• Anisotropy
• Thermodynamic limit
• Dipole
• Condensed matter physics
• Quantum
• Ion
• Quantum mechanics
• Mathematics

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