Kondo effect in Lieb's minimal ferrimagnetic system on the T-shaped bipartite lattice

Tokuda, Masashi; Nishikawa, Yunori

doi:10.1103/physrevb.105.195120

Cited by 1 publication

(1 citation statement)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this regard, the single‐orbital tight‐binding (TB) model is reliable for capturing the physics of itinerant electrons. [ 28 ] In addition, considering the nearest neighbor approximation in the TB model introduces the benzenoid quantum dots as a bipartite system, [ 29 ] that is, it can be decomposed into two interpenetrating triangular sublattices A and B. In this scheme, the total spin of the ground state can be predicted through Ovchinnikov's rule [ 30 ] or more strictly by Lieb's theorem [ 31 ] given by

S = \frac{N_{normalA} - N_{normalB}}{2}

where

N_{normalA}

and

N_{normalB}

are the number of carbon atoms in A and B sublattices, respectively.…”

Section: Introductionmentioning

confidence: 99%

Antiferromagnetic Ordering in Bowtie and AA‐Stacking Bilayer Trapezoidal Graphene Nanoflakes: A Comparison Study

Khodadadi

Sharifian

2023

Physica Rapid Research Ltrs

View full text Add to dashboard Cite

Herein, a comparative computational study inquiring about ground state magnetic properties of a nanometer‐size bowtie graphene quantum dot with an AA‐stacking bilayer trapezoid counterpart based on the single‐orbital Hubbard model and density functional theory (DFT) is presented. The structures have an antiferromagnetic ground state with a 1‐to‐1 correspondence between the local spin polarizations of the two systems. The tight‐binding energy spectra look different. However, a similar fashion in the energy spectra emerges after considering the Hubbard interaction term. A comparison between the spatial distributions of edge states shows that the wave functions in both structures are sublattice polarized by proposing a specific unit cell in the bilayer case. In addition, the on‐site coulombic repulsion consequence on the rising of magnetization and the size of the local magnetic moment has been considered.

show abstract