Flat bands without twists: periodic holey graphene DOI Creative Commons
Abdiel de Jesús Espinosa-Champo, Gerardo G. Naumis

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

\textit{Holey Graphene} (HG) is a widely used graphene material for the synthesis of high-purity and highly crystalline materials. In this work, we explore electronic properties periodic distribution lattice holes, demonstrating emergence flat bands with compact localized states. It shown that holes break bipartite sublattice inversion symmetries, inducing gaps nonzero Berry curvature. Moreover, folding Dirac cones from hexagonal Brillouin zone (BZ) to holey superlattice rectangular BZ HG sizes proportional an integer $n$ times graphene's parameter leads periodicity in gap formation such $n \equiv 0$ (mod $3$). Meanwhile, it if \pm 1$ $3$), emerges where points are folded along $\Gamma-X$ path. The low-energy hamiltonian three central also obtained, revealing system behaves as effective $\alpha-\mathcal{T}_{3}$ material. Therefore, simple protocol presented here allows obtaining at will. Such known increase electron-electron correlated effects. This work provides alternative system, much easier build than twisted systems, obtain quantum phases.

Language: Английский

Flat bands without twists: periodic holey graphene DOI Creative Commons
Abdiel de Jesús Espinosa-Champo, Gerardo G. Naumis

Journal of Physics Condensed Matter, Journal Year: 2024, Volume and Issue: 36(27), P. 275703 - 275703

Published: April 2, 2024

Abstract Holey Graphene (HG) is a widely used graphene material for the synthesis of high-purity and highly crystalline materials. The electronic properties periodic distribution lattice holes are explored here, demonstrating emergence flat bands. It established that such bands arise as consequence an induced sublattice site imbalance, i.e. by having more sites in one graphene’s bipartite than other. This equivalent to breaking path-exchange symmetry. By further inversion symmetry, gaps nonzero Berry curvature induced, leading topological In particular, folding Dirac cones from hexagonal Brillouin zone (BZ) holey superlattice rectangular BZ HG, with sizes proportional integer n times parameter, leads periodicity gap formation n ≡ 0 (mod 3). A low-energy hamiltonian three central also obtained revealing system behaves effective $\alpha-\mathcal{T}_{3}$?> α − T 3 material. Therefore, simple protocol presented here allows obtaining at will. Such known increase electron-electron correlation effects. present work provides alternative much easier build twisted systems, allowing production potentially correlated quantum phases.

Language: Английский

Citations

2
Fubini–Study metric and topological properties of flat band electronic states: the case of an atomic chain with s − p orbitals DOI Creative Commons
Abdiel de Jesús Espinosa-Champo, Gerardo G. Naumis

Journal of Physics Condensed Matter, Journal Year: 2023, Volume and Issue: 36(1), P. 015502 - 015502

Published: Sept. 20, 2023

The topological properties of the flat band states a one-electron Hamiltonian that describes chain atoms withs - porbitals are explored. This model is mapped onto Kitaev-Creutz type model, providing useful framework to understand topology through nontrivial winding number and geometry introduced by theFubini-Study (FS)metric. metric allows us distinguish between pure systems with same thus provides suitable tool for obtaining fingerprint bands. Moreover, it an appealing geometrical picture describing bands as can be associated local conformal transformation over circles in complex plane. In addition, presented relate formation compact localized pseudo-Bogoliubov modes. Also, squared investigated order provide better understanding localization spectrum. equivalent two coupled SSH chains under change basis.

Language: Английский

Citations

4
Emerging flat bands and spin polarization in nanodiamond island superlattices with varying carrier effective masses DOI
G.T. Oyeniyi, Iuliia Melchakova, D.R. Engelgardt

et al.

Applied Surface Science, Journal Year: 2024, Volume and Issue: 672, P. 160825 - 160825

Published: July 31, 2024

Language: Английский

Citations

1
Thermodynamics of the Resonating Valence Bond States Toward the Understanding of Quantum Spin Liquid Phenomena DOI
Florentino López‐Urías, A. Rubio‐Ponce, Emilio Muñoz‐Sandoval

et al.

Physical Chemistry Chemical Physics, Journal Year: 2024, Volume and Issue: 26(24), P. 16955 - 16962

Published: Jan. 1, 2024

The Hubbard model was used to investigate the thermodynamic properties of centered hexagon nanoclusters. systems showed resonating valence bond states and inverse magnetocaloric effect.

Language: Английский

Citations

1
Flat-bands in translated and twisted bilayer Penrose quasicrystals DOI Creative Commons
Uriel Alberto Díaz-Reynoso, Ernesto Huipe-Domratcheva, O. Navarro

et al.

Journal of Physics Condensed Matter, Journal Year: 2024, Volume and Issue: 36(39), P. 395502 - 395502

Published: June 21, 2024

Correlated phases in Moiré materials together with the flat-bands twisted systems play a central role to explain superconductivity new bilayer graphene. In this paper, are shown exist both translated and of quasicrystals. Such arise for different displacements twisting angles two-coupled Penrose lattices where patterns also shown. analyzed work have at least two inverted worms showing an interference pattern going along five-fold axes pentagon. order analyze behavior flat band, our study has been done fixed worm directions but increasing density, density number directions. case rotations, that occurs special such as

Language: Английский

Citations

0
Flat bands without twists through the use of a one harmonic moir'e system: topological nature of modes and electron-electron pairing in periodic uniaxial strained or crenellated graphene nanoribbons DOI Creative Commons
Elías Andrade, Florentino López‐Urías, Gerardo G. Naumis

et al.

2D Materials, Journal Year: 2024, Volume and Issue: 12(1), P. 015016 - 015016

Published: Nov. 28, 2024

Abstract Flat bands are known to produce highly correlated phases, leading superconductivity and charge fractionalization. In two-dimensional systems, they have been extensively studied in magic-angle twisted bilayer graphene (MATBG). However, from both theoretical experimental perspectives, MATBG remains a challenging system. Here, we present an alternative untwisted Moiré system avoid such difficult twists. This reproduces many of the interesting physical effects observed particularly flat electron–electron pairing via repulsive mechanism. The consists nanoribbon with periodic strain or corrugation, induced by suitable substrate, as crenellated h-BN substrate. is single harmonic, but key apply spatial frequency slightly detuned condition that changes sign between neighboring sites. produces deformation neighbors while introducing long-wavelength visible only on each graphene’s bipartite lattices. induces spatially dependent effective mass, obtained using one harmonic. maps onto Jackiw–Rebbi model, flat-band modes identified topological soliton modes. Electron–electron interactions included Hubbard Hamiltonian. main result emergence attraction electrons, accompanied spin polarization coupled electron pseudospin. These observations align Kohn–Luttinger theory other lattices, high-Tc cuprates. Since model exhibits fractionalization, similar phases also expected appear, MATBG.

Language: Английский

Citations

0
Fubini-Study metric and topological properties of flat band electronic states: the case of an atomic chain with $s-p$ orbitals DOI Creative Commons
Abdiel de Jesús Espinosa-Champo, Gerardo G. Naumis

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

The topological properties of the flat band states a one-electron Hamiltonian that describes chain atoms with $s-p$ orbitals are explored. This model is mapped onto Kitaev-Creutz type model, providing useful framework to understand topology through nontrivial winding number and geometry introduced by \textit{Fubini-Study (FS)} metric. metric allows us distinguish between pure systems same thus provides suitable tool for obtaining fingerprint bands. Moreover, it an appealing geometrical picture describing bands as can be associated local conformal transformation over circles in complex plane. In addition, presented relate formation Compact Localized States (CLS) pseudo-Bogoliubov modes. Also, squared investigated order provide better understanding localization spectrum. equivalent two coupled SSH chains under change basis.

Language: Английский

Citations

0
Flat bands without twists: periodic holey graphene DOI Creative Commons
Abdiel de Jesús Espinosa-Champo, Gerardo G. Naumis

arXiv (Cornell University), Journal Year: 2023, Volume and Issue: unknown

Published: Jan. 1, 2023

\textit{Holey Graphene} (HG) is a widely used graphene material for the synthesis of high-purity and highly crystalline materials. In this work, we explore electronic properties periodic distribution lattice holes, demonstrating emergence flat bands with compact localized states. It shown that holes break bipartite sublattice inversion symmetries, inducing gaps nonzero Berry curvature. Moreover, folding Dirac cones from hexagonal Brillouin zone (BZ) to holey superlattice rectangular BZ HG sizes proportional an integer $n$ times graphene's parameter leads periodicity in gap formation such $n \equiv 0$ (mod $3$). Meanwhile, it if \pm 1$ $3$), emerges where points are folded along $\Gamma-X$ path. The low-energy hamiltonian three central also obtained, revealing system behaves as effective $\alpha-\mathcal{T}_{3}$ material. Therefore, simple protocol presented here allows obtaining at will. Such known increase electron-electron correlated effects. This work provides alternative system, much easier build than twisted systems, obtain quantum phases.

Language: Английский

Citations

0