Loading [MathJax]/extensions/MathEvents.js
M Silver Cross Speed Trainer Bio Shoe 361 Chi Men tTwqZx7WS M Silver Cross Speed Trainer Bio Shoe 361 Chi Men tTwqZx7WS M Silver Cross Speed Trainer Bio Shoe 361 Chi Men tTwqZx7WS M Silver Cross Speed Trainer Bio Shoe 361 Chi Men tTwqZx7WS M Silver Cross Speed Trainer Bio Shoe 361 Chi Men tTwqZx7WS M Silver Cross Speed Trainer Bio Shoe 361 Chi Men tTwqZx7WS

Electronic structure theory of strained two-dimensional materials with hexagonal symmetry

Shiang Fang, Stephen Carr, Miguel A. Cazalilla, and Efthimios Kaxiras
Phys. Rev. B 98, 075106 – Published 6 August 2018

Abstract

We derive electronic tight-binding Hamiltonians for strained graphene, hexagonal boron nitride, and transition-metal dichalcogenides based on Wannier transformation of ab initio density functional theory calculations. Our microscopic models include strain effects to leading order that respect the hexagonal crystal symmetry and local crystal configuration and are beyond the central force approximation which assumes only pairwise distance dependence. Based on these models, we also derive and analyze the effective low-energy Hamiltonians. Our ab initio approaches complement the symmetry group representation construction for such effective low-energy Hamiltonians and provide the values of the coefficients for each symmetry-allowed term. These models are relevant for the design of electronic device applications since they provide the framework for describing the coupling of electrons to other degrees of freedom including phonons, spin, and the electromagnetic field. The models can also serve as the basis for exploring the physics of many-body systems of interesting quantum phases.

  • Received 21 September 2017

DOI:https://doi.org/10.1103/PhysRevB.98.075106

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter & Materials Physics
Mighty Black Coconuts Mighty by Womens Fine Matisse FINE trXqp0dXn

Authors & Affiliations Bio Trainer Cross Chi 361 Silver Men Shoe Speed M

Shiang Fang1, Stephen Carr1, Miguel A. Cazalilla2,3, and Efthimios Kaxiras1,4

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
  • 2Department of Physics, National Tsing Hua University and National Center for Theoretical Sciences (NCTS), Hsinchu 30013, Taiwan
  • 3Donostia International Physics Center (DIPC), Manuel de Lardizabal, 4. 20018, San Sebastian, Spain
  • 4John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, Massachusetts 02138, USA

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 98, Iss. 7 — 15 August 2018

Reuse & Permissions

1981: Guth proposes theory of inflation
View timeline | #PhysRev125
Access Options

Article part of CHORUS

Accepted manuscript will be available starting 6 August 2019.

Authorization Required


Men Silver Cross 361 Trainer Shoe M Chi Bio Speed Other Options
×

Download & Share


PDF Export Reuse & Permissions
×

Images

1 of 361 Chi Bio M Shoe Silver Speed Trainer Men Cross 4
  1. Silver Shoe Chi Trainer 361 Cross Bio Men Speed M
×

Sign up to receive regular email alerts from Physical Review B

Shoe M Men Bio Cross Speed 361 Chi Trainer Silver

Log In

Cancel
×

Shoe M Men Cross Trainer Bio Chi 361 Speed Silver Search

M Trainer Men Chi 361 Shoe Silver Cross Speed Bio

Article Lookup

Paste a citation or DOI

Enter a citation
×