Atomic Fermi gas in the trimerized Kagom\'e lattice at the filling 2/3
B. Damski, H.-U. Everts, A. Honecker, H. Fehrmann, L. Santos, M., Lewenstein
TL;DR
This paper investigates a spinless Fermi gas in a trimerized Kagomé lattice at 2/3 filling, revealing a quantum spin-liquid crystal state with unique magnetic and low-energy properties.
Contribution
It introduces a novel quantum spin-liquid crystal phase in a trimerized Kagomé lattice, characterized by combined antiferromagnetic order and abundant low-energy excitations.
Findings
Identification of a quantum spin-liquid crystal phase
Combination of planar antiferromagnetic order with many low-energy states
Use of exact diagonalization to analyze the system
Abstract
We study low temperature properties of an atomic spinless interacting Fermi gas in the trimerized Kagom\'e lattice for the case of two fermions per trimer. The system is described by a quantum spin 1/2 model on the triangular lattice with couplings depending on bonds directions. Using exact diagonalizations we show that the system exhibits non-standard properties of a {\it quantum spin-liquid crystal}, combining a planar antiferromagnetic order with an exceptionally large number of low energy excitations.
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