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Cutting a honeycomb lattice (HCL) can end up with three types of edges (zigzag, bearded and armchair), as is well known in the study of graphene edge states. Here we theoretically investigate and experimentally demonstrate a class of…

Optics · Physics 2023-07-19 Shiqi Xia , Yongsheng Liang , Liqin Tang , Daohong Song , Jingjun Xu , Zhigang Chen

We analyze by exact Renormalization Group (RG) methods the infrared properties of an effective model of graphene, in which two-dimensional massless Dirac fermions propagating with a velocity smaller than the speed of light interact with a…

Strongly Correlated Electrons · Physics 2011-01-25 Alessandro Giuliani , Vieri Mastropietro , Marcello Porta

We investigate the fine structure of the edge states energy spectrum for zigzag and armchair ribbons of graphene in a strong magnetic field. At low energy, the spectra can be described by an effective Schrodinger Hamiltonian with a double…

Mesoscale and Nanoscale Physics · Physics 2011-01-05 Pierre Delplace , Gilles Montambaux

We investigate the edge-state magnetism of graphene nanoribbons using projective quantum Monte Carlo simulations and a self-consistent mean-field approximation of the Hubbard model. The static magnetic correlations are found to be short…

Mesoscale and Nanoscale Physics · Physics 2011-06-13 Hélène Feldner , Zi Yang Meng , Thomas C. Lang , Fakher F. Assaad , Stefan Wessel , Andreas Honecker

We study the accuracy of analytical wave function based many-body methods derived by energy minimization of a Jastrow-Feenberg ansatz for electrons (`Fermi hypernetted chain / Euler Lagrange' approach). Approximations to avoid the…

Other Condensed Matter · Physics 2019-06-05 Martin Panholzer , Raphael Hobbiger , Helga Böhm

We derive electronic tight-binding Hamiltonians for strained graphene, hexagonal boron nitride and transition metal dichalcogenides based on Wannier transformation of {\it ab initio} density functional theory calculations. Our microscopic…

Mesoscale and Nanoscale Physics · Physics 2018-08-14 Shiang Fang , Stephen Carr , Miguel A. Cazalilla , Efthimios Kaxiras

This article presents a number of technical tools and results that may be instrumental to discern the nature of the Higgs particle. In scenarios where an additional strongly interacting sector is present in the electroweak theory resulting…

High Energy Physics - Phenomenology · Physics 2020-10-28 Antonio Dobado , Domènec Espriu

We consider the spin-1/2 antiferromagnetic Heisenberg model on three frustrated lattices (the diamond chain, the dimer-plaquette chain and the two-dimensional square-kagome lattice) with almost dispersionless lowest magnon band. Eliminating…

Strongly Correlated Electrons · Physics 2013-10-03 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

As a first step towards the construction of a general electroweak effective Lagrangian incorporating heavy states, we present here a simplified version where only vector and axial-vector spin-1 triplets are involved. We adopt an effective…

High Energy Physics - Phenomenology · Physics 2019-01-29 Joaquín Santos , Ignasi Rosell , Antonio Pich , Juan José Sanz-Cillero

We propose a first principles effective medium formalism to study the propagation of electron waves in semiconductor heterostructures with a zero-band gap. Our theory confirms that near the K-point the dynamics of a two-dimensional electron…

Mesoscale and Nanoscale Physics · Physics 2016-10-20 Sylvain Lannebère , Mário G. Silveirinha

A bosonic field theory is derived for the tunable edge magnetism at graphene zigzag edges. The derivation starts from an effective fermionic theory for the interacting graphene edge states, derived previously from a two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2012-11-09 Manuel J. Schmidt

The growing skill in the synthesis processes of new materials has intensified the interest in exploring the properties of systems modeled by more complex lattices. Two-dimensional super-honeycomb lattices, have been investigated in metallic…

Mesoscale and Nanoscale Physics · Physics 2023-02-03 A. B. Felix de Souza , L. Spreafico , D. Faria , A. Latgé

Employing the low-energy effective theory alongside a combination of analytical and numerical techniques, we explore the Landau level collapse phenomenon, uncovering previously undisclosed features. We consider both finite-width graphene…

Mesoscale and Nanoscale Physics · Physics 2024-09-05 A. A. Herasymchuk , S. G. Sharapov , V. P. Gusynin

A computational method is developed whereby the reflectivity of low-energy electrons from a surface can be obtained from a first-principles solution of the electronic structure of the system. The method is applied to multilayer graphene.…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 R. M. Feenstra , M. Widom

The propagation of linear and nonlinear edge modes in bounded photonic honeycomb lattices formed by an array of rapidly varying helical waveguides is studied. These edge modes are found to exhibit strong transmission (reflection) around…

Optics · Physics 2023-07-19 Mark J. Ablowitz , Yi-Ping Ma

Effective field theories provide a formalism for categorizing low-energy effects of a high-energy fundamental theory in terms of the low-energy degrees of freedom. This process has been well established in mapping the fundamental theory of…

High Energy Physics - Lattice · Physics 2015-03-17 Michael I. Buchoff

We study the effect of Coulomb interaction between charge carriers on the properties of graphene monolayer, assuming that the strength of the interaction is controlled by the dielectric permittivity of the substrate on which the graphene…

Strongly Correlated Electrons · Physics 2013-02-14 P. V. Buividovich , M. I. Polikarpov

In this note, we calculate the electronic properties of a realistic atomistic model of amorphous graphene. The model contains odd membered rings, particularly five and seven membered rings and no coordination defects. We show that…

Strongly Correlated Electrons · Physics 2009-12-04 V. Kapko , D. A. Drabold , M. F. Thorpe

We derive a widely-applicable first principles approach for determining two-body, static effective interactions for low-energy Hamiltonians with quantitative accuracy. The algebraic construction rigorously conserves all instantaneous…

Strongly Correlated Electrons · Physics 2024-03-19 Charles J. C. Scott , George H. Booth

We investigate chiral graphene nanoribbons using projective quantum Monte Carlo simulations within the local Hubbard model description and study the effects of electron-electron interactions on the electronic and magnetic properties at the…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 Michael Golor , Thomas C. Lang , Stefan Wessel