Exploring Frustration Effects of Strongly Interacting Bosons via the Hall Response
ORAL · Invited
Abstract
Ladders constitute the simplest systems in which the combined effects of interactions, magnetic flux and transport can be studied simultaneously. For square ladders a magnetic flux leads to novel phases [1] which were recently observed in ultracold atoms systems [2].
With triangular ladders, there is in addition frustration that has drastic consequences, in particular for large flux. I will discuss in this presentation the case of triangular bosonic ladders with flux, both for soft core bosons and hard core ones. The hard core bosonic ladders can directly be connected to spin realizations. Due to the combined effects of interactions and magnetic flux a very rich behavior occurs, in particular at large flux [3].
If in addition a current is imposed along the legs of the ladder one can measure the Hall effect, which turns out to be a very sensitive probe for the transition between these various phases [4,5] in agreement with generic formulas connecting the Hall effect to charge stiffness in square ladders [6].
With triangular ladders, there is in addition frustration that has drastic consequences, in particular for large flux. I will discuss in this presentation the case of triangular bosonic ladders with flux, both for soft core bosons and hard core ones. The hard core bosonic ladders can directly be connected to spin realizations. Due to the combined effects of interactions and magnetic flux a very rich behavior occurs, in particular at large flux [3].
If in addition a current is imposed along the legs of the ladder one can measure the Hall effect, which turns out to be a very sensitive probe for the transition between these various phases [4,5] in agreement with generic formulas connecting the Hall effect to charge stiffness in square ladders [6].
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Publication: [1] E. Orignac and T. Giamarchi, Phys. Rev. B 64, 144515 (2001) <br>[2] M. Atala, M. Aidelsburger, M. Lohse, J. T. Barreiro, B. Paredes, I. Bloch, Nature Physics 10, 588-593 (2014)<br>[3] C. Halati, T. Giamarchi, Phys. Rev. Research 5, 013126 (2023).<br>[4] C. Halati, T. Giamarchi, https://arxiv.org/abs/2405.19030.<br>[5] C. Halati, T. Giamarchi, https://arxiv.org/abs/2409.15276.<br>[6] R. Citro, T. Giamarchi, E. Orignac, https://arxiv.org/abs/2404.16973.
Presenters
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Thierry Giamarchi
University of Geneva
Authors
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Thierry Giamarchi
University of Geneva