Magnetic frustration and fractionalization in oligo(indenoindenes)

Ortiz, Ricardo; Giedke, G.; Frederiksen, Thomas

doi:10.1103/physrevb.107.l100416

Cited by 5 publications

(3 citation statements)

References 81 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Particularly, the usage of magnetic spinners to fabricate a macroscopic version of a quantum ladder provides an mechanical analog of the Kitaev chain with an adjustable onsite term [44]. Besides, unpaired electrons in carbon ladder polymers exhibit ferromagnetic and antiferromagnetic interactions such that effective t1,2 bonds are formed [45]. The discussed physics of an atomic chain featuring nearest and next nearest neighbor hopping is therefore experimentally accessible and allows the on-demand facilitation of complex wavevectors.…”

Section: Discussionmentioning

confidence: 99%

On symmetric Tetranacci polynomials in mathematics and physics

Leumer

2023

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

In this manuscript, we introduce (symmetric) Tetranacci polynomials $\xi_j$ as a twofold generalization of ordinary Tetranacci numbers, considering both non unity coefficients and generic initial values. We derive a complete closed form expression for any $\xi_j$ with the key feature of a decomposition in terms of generalized Fibonacci polynomials. For suitable conditions, $\xi_j$ can be understood as the superposition of standing waves. The issue of Tetranacci polynomials originated from their application in condensed matter physics. We explicitly demonstrate the approach for the spectrum, eigenvectors, Green's functions and transmission probability for an atomic tight binding chain exhibiting both nearest and next nearest neighbor processes. We demonstrate that in topological trivial models, complex wavevectors can form bulk states as a result of the open boundary conditions. We describe how effective next nearest neighbor bonding is engineered in state of the art theory/ experiment exploiting onsite degrees of freedom and close range hopping. We argue about experimental tune ability and on-demand complex wavevectors.

show abstract

Section: Discussionmentioning

confidence: 99%

On symmetric Tetranacci polynomials in mathematics and physics

Leumer

2023

J. Phys. A: Math. Theor.

View full text Add to dashboard Cite

show abstract

“…The potential open-shell character of indenofluorenes has led to several theoretical studies on their use as nonlinear optical materials 16 , 17 and as candidates for singlet fission in organic photovoltaics 18 , 19 . Recent theoretical work has also shown that indenofluorene-based ladder polymers may exhibit fractionalized excitations 20 . Fundamentally, indenofluorenes represent model systems to study the interplay between aromaticity and magnetism at the molecular scale 17 .…”

Section: Mainmentioning

confidence: 99%

Bistability between π-diradical open-shell and closed-shell states in indeno[1,2-a]fluorene

Mishra,

Vilas-Varela,

Lieske

et al. 2024

Nat. Chem.

Self Cite

View full text Add to dashboard Cite

Indenofluorenes are non-benzenoid conjugated hydrocarbons that have received great interest owing to their unusual electronic structure and potential applications in nonlinear optics and photovoltaics. Here we report the generation of unsubstituted indeno[1,2-a]fluorene on various surfaces by the cleavage of two C–H bonds in 7,12-dihydroindeno[1,2-a]fluorene through voltage pulses applied by the tip of a combined scanning tunnelling microscope and atomic force microscope. On bilayer NaCl on Au(111), indeno[1,2-a]fluorene is in the neutral charge state, but it exhibits charge bistability between neutral and anionic states on the lower-workfunction surfaces of bilayer NaCl on Ag(111) and Cu(111). In the neutral state, indeno[1,2-a]fluorene exhibits one of two ground states: an open-shell π-diradical state, predicted to be a triplet by density functional and multireference many-body perturbation theory calculations, or a closed-shell state with a para-quinodimethane moiety in the as-indacene core. We observe switching between open- and closed-shell states of a single molecule by changing its adsorption site on NaCl.

show abstract

“…The formation of supramolecular structures, such as dimers, , trimers, rings, chains, and two-dimensional arrays, , that preserve the open-shell nature of the building blocks has recently been demonstrated. This bottom-up approach permits one to design − two-dimensional carbon crystals with very narrow bands, linear combinations of carbon p z orbitals, and strong electron correlations, complementing the top-down approach of magic angle twisted bilayer graphene. , …”

mentioning

confidence: 99%

Designer Spin Models in Tunable Two-Dimensional Nanographene Lattices

Henriques,

Ferri-Cortés,

Fernández-Rossier

2024

Nano Lett.

View full text Add to dashboard Cite

Motivated by recent experimental breakthroughs, we propose a strategy for designing two-dimensional spin–lattices with competing interactions that lead to nontrivial emergent quantum states. We consider S = 1/2 nanographenes with C 3 symmetry as building blocks, and we leverage the potential to control both the sign and the strength of exchange with first neighbors to build a family of spin models. Specifically, we consider the case of a Heisenberg model in a triangle-decorated honeycomb lattice with competing ferromagnetic and antiferromagnetic interactions whose ratio can be varied in a wide range. On the basis of the exact diagonalization of both Fermionic and spin models, we predict a quantum phase transition between a valence bond crystal of spin singlets with triplon excitations living in a Kagomé lattice and a Néel phase of effective S = 3/2 in the limit of dominant ferromagnetic interactions.

show abstract

Magnetic frustration and fractionalization in oligo(indenoindenes)

Cited by 5 publications

References 81 publications

On symmetric Tetranacci polynomials in mathematics and physics

On symmetric Tetranacci polynomials in mathematics and physics

Bistability between π-diradical open-shell and closed-shell states in indeno[1,2-a]fluorene

Designer Spin Models in Tunable Two-Dimensional Nanographene Lattices

Contact Info

Product

Resources

About