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An uncertainty in studying twisted bilayer graphene (TBG) is the minimum energy geometry, which strongly affects the electronic structure. The minimum energy geometry is determined by the potential energy surface, which is dominated by van…

Mesoscale and Nanoscale Physics · Physics 2023-11-14 Kittithat Krongchon , Tawfiqur Rakib , Shivesh Pathak , Elif Ertekin , Harley T. Johnson , Lucas K. Wagner

We demonstrate by experiments and numerical simulations that the low-temperature current-voltage characteristics in diffusive bilayer graphene (BLG) exhibit a strong superlinearity at finite bias voltages. The superlinearity is weakly…

Mesoscale and Nanoscale Physics · Physics 2011-05-24 J. K. Viljas , A. Fay , M. Wiesner , P. J. Hakonen

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, allowing to write the Hamiltonian in terms of a $2\times 2$…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Leonardo A. Navarro-Labastida , Abdiel Espinosa-Champo , Enrique Aguilar-Mendez , Gerardo G. Naumis

It is widely known that the twisted bilayer graphene (TBG) shows flat bands at magic angles, which can be well described by the effective continuum model derived by Bistritzer and MacDonald (BM). We propose in this paper a similar twisted…

Mesoscale and Nanoscale Physics · Physics 2022-04-22 Y. Soeda , K. Asaga , T. Fukui

A density-matrix formalism within the length gauge is developed to calculate the nonlinear response of both doped and undoped biased bilayer graphene (BBLG) at terahertz frequencies. Employing a tight-binding model, we derive an effective…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 Riley McGouran , Marc M. Dignam

We consider the nonlinear terahertz response of n-doped monolayer graphene at room temperature using a microscopic theory of carrier dynamics. Our tight-binding model treats the carrier-field interaction in the length gauge, includes phonon…

Mesoscale and Nanoscale Physics · Physics 2019-03-27 L. G. Helt , M. M. Dignam

We theoretically investigate the thermoelectric properties (electronic contribution) of a normal-superconductor (NS) hybrid junction, where the normal region consists of magic-angle twisted bilayer graphene (MATBG). The superconducting…

Mesoscale and Nanoscale Physics · Physics 2025-10-14 Kamalesh Bera , Pritam Chatterjee , Priyanka Mohan , Arijit Saha

By using a non-local, quantum mechanical response function we study graphene plasmons in a one-dimensional superlattice (SL) potential $V_0 \cos G_0x$. The SL introduces a quantum energy scale $E_G \sim \hbar v_F G_0$ associated to…

Mesoscale and Nanoscale Physics · Physics 2020-06-25 Luis Brey , T. Stauber , L. Martín-Moreno , G. Gómez-Santos

The electronic properties of graphene superlattices have attracted intense interest that was further stimulated by the recent observation of novel many-body states at "magic" angles in twisted bilayer graphene (BLG). For very small…

Intrinsic spin Hall effect in the AA-stacked bilayer graphene is studied theoretically. The low-energy electronic spectrum for states in the vicinity of the Dirac points is obtained from the corresponding $\mathbf{k}\cdot\mathbf{p}$…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 A. Dyrdał , J. Barnaś

We present a mainly analytical study of the entanglement spectrum of Bernal-stacked graphene bilayers in the presence of trigonal warping in the energy spectrum. Upon tracing out one layer, the entanglement spectrum shows qualitative…

Mesoscale and Nanoscale Physics · Physics 2016-03-07 Sonja Predin , Paul Wenk , John Schliemann

We analytically describe the plasmonic edge modes for an interface that involves the twisted bilayer graphene (TBG) or other similar Moire van der Waals heterostructure. For this purpose, we employ a spatially homogeneous, isotropic and…

Mesoscale and Nanoscale Physics · Physics 2021-09-21 Dionisios Margetis , Tobias Stauber

Recent experiments have observed strongly correlated physics in twisted bilayer graphene (TBG) at very small angles, along with nearly flat electron bands at certain fillings. A good starting point in understanding the physics is a…

Strongly Correlated Electrons · Physics 2019-01-16 Kasra Hejazi , Chunxiao Liu , Hassan Shapourian , Xiao Chen , Leon Balents

Twisted bilayer graphene (TBG) represents a highly tunable, strongly correlated electron system owed to its unique flat electronic bands. However, understanding the single-particle band structure alone has been challenging due to complex…

The existence of strong trigonal warping around the K point for the low energy electronic states in multilayer (N$\geq$2) graphene films and graphite is well established. It is responsible for phenomena such as Lifshitz transitions and…

Quantum coherent effects can be probed in multilayer graphene through electronic transport measurements at low temperatures. In particular, bilayer graphene is known to be susceptible to quantum interference corrections of the conductivity,…

Twisted graphene bilayers show a complex electronic structure, further modified by interaction effects. The main features can be obtained from effective models, which make use a few phenomenological parameters. We analyze the influence of…

Strongly Correlated Electrons · Physics 2019-03-04 Niels R. Walet , Francisco Guinea

In a recent paper [Phys. Rev. B 89, 125418 (2014)], the authors argue that it is possible to map the electronic properties of twisted bilayer graphene to those of bilayer graphene in an in-plane magnetic field. However, their description of…

Mesoscale and Nanoscale Physics · Physics 2016-06-16 M. Van der Donck , F. M. Peeters , B. Van Duppen

The edges of graphene-based systems possess unusual electronic properties, originating from the non-trivial topological structure associated to the pseudo-spinorial character of the electron wave-functions. These properties, which have no…

Mesoscale and Nanoscale Physics · Physics 2011-01-24 Jian Li , Ivar Martin , Markus Buttiker , Alberto F. Morpurgo

Moir\'e materials, and in particular twisted bilayer graphene (TBG), exhibit a range of fascinating phenomena, that emerge from the interplay of band topology and interactions. We show that the non-linear second-order photoresponse is an…

Mesoscale and Nanoscale Physics · Physics 2021-07-21 Swati Chaudhary , Cyprian Lewandowski , Gil Refael