TY - JOUR

T1 - Anisotropy-mediated reentrant localization

AU - Deng, Xiaolong

AU - Burin, Alexander

AU - Khaymovich, Ivan

N1 - Funding Information: Funding information This research was supported by Russian Science Foundation, Grant No. 21-12-00409 (I. M. K.), by Carrol Lavin Bernick Foundation Research Grant (2020-2021) and by NSF CHE-2201027 grant (A. L. B.) by the DFG projects SA 1031/11, SFB 1227 DQ-mat, and by the Federal Ministry of Education and Research of Germany (BMBF) in the framework of DAQC. (X. D.). Funding Information: We thank V. E. Kravtsov for illuminating discussions. We also thank G. V. Shlyapnikov and Luis Santos for previous collaboration on related topics. This research was supported by Russian Science Foundation, Grant No. 21-12-00409 (I. M. K.), by Carrol Lavin Bernick Foundation Research Grant (2020-2021) and by NSF CHE-2201027 grant (A. L. B.) by the DFG projects SA 1031/11, SFB 1227 DQ-mat, by the Federal Ministry of Education and Research of Germany (BMBF) in the framework of DAQC. (X. D.), and by the European Research Council under the European Unions Seventh Framework Program Synergy HERO SYG-18 810451.

PY - 2022/11/24

Y1 - 2022/11/24

N2 - We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $\sim r^{-a}$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems via their interaction with cavity modes. We focus on the dilute dipolar excitation case when the problem can be effectively considered as single-particle with the interaction providing long-range dipolar-like hopping. We show that the spatially homogeneous tilt $\beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion, $a>a_{AT}$. 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.

AB - We consider a 2d dipolar system, $d=2$, with the generalized dipole-dipole interaction $\sim r^{-a}$, and the power $a$ controlled experimentally in trapped-ion or Rydberg-atom systems via their interaction with cavity modes. We focus on the dilute dipolar excitation case when the problem can be effectively considered as single-particle with the interaction providing long-range dipolar-like hopping. We show that the spatially homogeneous tilt $\beta$ of the dipoles giving rise to the anisotropic dipole exchange leads to the non-trivial reentrant localization beyond the locator expansion, $a>a_{AT}$. 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.

UR - http://www.scopus.com/inward/record.url?scp=85145962695&partnerID=8YFLogxK

U2 - 10.21468/SciPostPhys.13.5.116

DO - 10.21468/SciPostPhys.13.5.116

M3 - Article

VL - 13

JO - SciPost Physics

JF - SciPost Physics

IS - 5

M1 - 116

ER -