https://doi.org/10.1140/epjb/s10051-024-00777-2
Regular Article - Solid State and Materials
Orbital antiferromagnetic currents in a frustrated fermionic ladder
1
Ilia State University, 0162, Tbilisi, Georgia
2
The Andronikashvili Institute of Physics, 0177, Tbilisi, Georgia
3
The Abdus Salam International Centre for Theoretical Physics, 34151, Trieste, Italy
Received:
18
June
2024
Accepted:
27
August
2024
Published online:
18
September
2024
We consider a spinless t-
ionic Hubbard chain at 1/2 filling and large hopping ratio 
. In this limit, the model adequately maps onto a weakly coupled triangular ladder with a potential interchain bias. The low-energy properties of the system are formed due to the interplay of geometrical frustration, correlations and charge imbalance. We derive the effective field-theoretical model to study universal properties of the model in the scaling limit. We show that at full dynamical frustration, the ground state of the ladder represents a repulsive version of the Luther–Emery liquid with dominant orbital antiferromagnetic correlations exhibiting the slowest power law decay in the ground state. Pairing correlations also display algebraic order but are subdominant. At an incomplete dynamical frustration, a finite commensurability gap is dynamically generated, and the fluctuating OAF transforms to a long-range ordered state with a spontaneously broken time-reversal symmetry. The mass gap in the spectrum of relative density fluctuations gets suppressed upon increasing the potential bias.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
