title: Spontaneous magnetization and anomalous Hall effect in an emergent Dice lattice.
abstract: Ultracold atoms in optical lattices serve as a tool to model different physical phenomena appearing originally in condensed matter. To study magnetic phenomena one needs to engineer synthetic fields as atoms are neutral. Appropriately shaped optical potentials force atoms to mimic charged particles moving in a given field. We present the realization of artificial gauge fields for the observation of anomalous Hall effect. Two species of attractively interacting ultracold fermions are considered to be trapped in a shaken two dimensional triangular lattice. A combination of interaction induced tunneling and shaking can result in an emergent Dice lattice. In such a lattice the staggered synthetic magnetic flux appears and it can be controlled with external parameters. The obtained synthetic fields are non-Abelian. Depending on the tuning of the staggered flux we can obtain either anomalous Hall effect or its quantized version. Our results are reminiscent of Anomalous Hall conductivity in spin-orbit coupled ferromagnets.
authors.affiliation: Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, ulica Łojasiewicza 11, PL-30-348 Kraków, Poland.
authors.forename: Omjyoti
authors.initials: O
authors.lastname: Dutta
authors.affiliation: 1] Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, ulica Łojasiewicza 11, PL-30-348 Kraków, Poland [2] Institute of Theoretical Physics and Astrophysics, University of Gdańsk, Wita Stwosza 57, 80-952 Gdańsk, Poland [3] National Quantum Information Centre of Gdańsk, Andersa 27, 81-824 Sopot, Poland.
authors.forename: Anna
authors.initials: A
authors.lastname: Przysiężna
authors.affiliation: 1] Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, ulica Łojasiewicza 11, PL-30-348 Kraków, Poland [2] Mark Kac Complex Systems Research Center, Uniwersytet Jagielloński, Kraków, Poland.
authors.forename: Jakub
authors.initials: J
authors.lastname: Zakrzewski