¡Nos trasladamos! E-Prints cerrará el 7 de junio.

En las próximas semanas vamos a migrar nuestro repositorio a una nueva plataforma con muchas funcionalidades nuevas. En esta migración las fechas clave del proceso son las siguientes:

Es muy importante que cualquier depósito se realice en E-Prints Complutense antes del 7 de junio. En caso de urgencia para realizar un depósito, se puede comunicar a docta@ucm.es.

Robust nonequilibrium surface currents in the three-dimensional Hofstadter model



Downloads per month over past year

Mitchison, Mark T. and Rivas Vargas, Ángel and Martín Delgado, Miguel Ángel (2022) Robust nonequilibrium surface currents in the three-dimensional Hofstadter model. Physical review research, 4 (4). ISSN 2643-1564

[thumbnail of Martín Delgado MÁ 133 LIBRE+CC.pdf]
Creative Commons Attribution.


Official URL: http://dx.doi.org/10.1103/PhysRevResearch.4.043032


Genuinely two-dimensional robust crosscurrents-which flow against the natural direction of heat flux- have been missing since the discovery of their one-dimensional counterpart. We provide a setup to realize them on a cubic three-dimensional (3D) lattice hosting a Hofstadter model coupled to two heat baths with different temperatures. We show that these currents exhibit dissipative robustness; they are stable against the presence of impurities and tilting of the gauge field in certain nonequilibrium configurations. Moreover, we find protected boundary currents with genuinely 3D robustness, i.e., they are only stable if tunneling can occur in all three spatial directions. The model also presents generic surface currents, which are robust for both bosonic and fermionic systems. We identify the underlying qualitative mechanism responsible for the robustness of the surface currents and the crucial role played by certain discrete symmetries.

Item Type:Article
Additional Information:

© The Author(s) 2022
M. T. M. is supported by a Royal Society-Science Foundation Ireland University Research Fellowship, and acknowledges funding from the ERC Starting Grant ODYSSEY (Grant Agreement No. 758403) and the Engineering and Physical Sciences Research Council-Science Foundation Ireland Joint Funding of Research project QuamNESS. A. R. and M. A. M.-D. acknowledge financial support from the Spanish MINECO grants MINECO/FEDER Projects No. FIS2017-91460-EXP, No. PGC2018-099169-B-I00FIS-2018 and from CAM/FEDER Project No. S2018/TCS-4342 (QUITEMAD-CM) . The research of A. R. and M. A. M.-D. has been partially supported by the U.S. Army Research Office through Grant No. W911NF-14-1-0103. Calculations were performed on the GICC cluster at UCM and the Lonsdale cluster maintained by the Trinity Centre for High Performance Computing, which was funded through grants from Science Foundation Ireland.

Uncontrolled Keywords:Berry phase; Quantum; Insulator; States
Subjects:Sciences > Physics > Physics-Mathematical models
Sciences > Physics > Mathematical physics
ID Code:75724
Deposited On:30 Nov 2022 15:41
Last Modified:30 Nov 2022 15:41

Origin of downloads

Repository Staff Only: item control page