activity
20212026
most citedReduction of the Twisted Bilayer Graphene Chiral Hamiltonian into a matrix operator and physical origin of flat-bands at magic angles

37 citations · 90 across the 9 of their papers we have counts for

collaborators

10 papers

cond-mat.mes-hall2026

Theory of Magic Angles in Twisted Bilayer Graphene: from Non-Abelian Gauge Fields to Flat Bands

Leonardo A. Navarro-Labastida, Gerardo G. Naumis

At a discrete set of ``magic'' twist angles, twisted bilayer graphene develops two bands at charge neutrality that are almost perfectly flat. We present a unified theory of this ph…

cond-mat.mes-hall2026

The First Magic Angle Beyond the Chiral Limit in Twisted Bilayer Graphene

Leonardo A. Navarro-Labastida, Pierre A. Pantaleon, Francisco Guinea +1

We develop a squared-Hamiltonian description of twisted bilayer graphene beyond the chiral limit to explain why the first magic angle remains robust under lattice relaxation, while…

cond-mat.mes-hall2025★ 2 cited

Topological phase diagram of twisted bilayer graphene as a function of the twist angle

Leonardo A. Navarro-Labastida, Pierre A. Pantaleon, Francisco Guinea +1

Twisted bilayer graphene (TBG) hosts a rich landscape of electronic phases arising from the interplay between strong electron-electron interactions and nontrivial band topology. Wh…

quant-ph2024

Thermal quantum information capacity in a topological insulator

Leonardo A. Navarro-Labastida

Thermal effects in a one-dimensional Su-Schrieffer-Hegger (SSH) topological insulator are studied. Particularly, we focus on quantum information processing (QIP) capacity for therm…

cond-mat.mes-hall2023

Self-duality properties and localization centers of the electronic wave functions at high magic angles in twisted bilayer graphene

Leonardo A. Navarro-Labastida, Gerardo G. Naumis

Twisted bilayer graphene (TBG) is known for exhibiting highly correlated phases at magic angles due to the emergence of flat bands that enhance electron-electron interactions. In t…

cond-mat.mes-hall2022

Flat bands, quantum Hall effect and superconductivity in twisted bilayer graphene at magic angles

Leonardo A. Navarro-Labastida, Gerardo G. Naumis

Flat band electronic modes are responsible for superconductivity in twisted bilayer graphene (TBG) rotated at magic angles. From there other magic angles can be found for any multi…

cond-mat.mes-hall2022★ 27 cited

3/2 magic-angle quantization rule of flat bands in twisted bilayer graphene and relationship with the Quantum Hall effect

Leonardo A. Navarro-Labastida, Gerardo G. Naumis

Flat band electronic modes in twisted graphene bilayers are responsible for superconducting and other highly correlated electron-electron phases. Although some hints were known of…

cond-mat.mes-hall2021★ 24 cited

Why the first magic-angle is different from others in twisted graphene bilayers: interlayer currents, kinetic and confinement energy and wavefunction localization

Leonardo A. Navarro-Labastida, Abdiel Espinosa-Champo, Enrique Aguilar-Mendez +1

The chiral Hamiltonian for twisted graphene bilayers is analyzed in terms of its squared Hamiltonian which removes the particle-hole symmetry and thus one bipartite lattice, allowi…

quant-ph2021

Topological phases and entanglement in real space for 1D SSH topological insulator: effects of first and second neighbor-hoppings

Leonardo A. Navarro-Labastida, Francisco A. Domínguez-Serna, F. Rojas

The hybrid atoms-cell site entanglement in a one-dimensional Su-Schrieffer-Heeger (SSH) topological insulator with first and second neighbor hopping interaction in space representa…

cond-mat.mes-hall2021★ 37 cited

Reduction of the Twisted Bilayer Graphene Chiral Hamiltonian into a matrix operator and physical origin of flat-bands at magic angles

Gerardo G. Naumis, Leonardo A. Navarro-Labastida, Enrique Aguilar-Méndez +1

The chiral Hamiltonian for twisted graphene bilayers is written as a matrix operator by a renormalization of the Hamiltonian that takes into account the particle-hole sy…