Loading [MathJax]/extensions/MathEvents.js
Womens Shoes Solid APL10394 Blue Hiking Pumps Comfort Backpacking BalaMasa Urethane SdaHcSZ Womens Shoes Solid APL10394 Blue Hiking Pumps Comfort Backpacking BalaMasa Urethane SdaHcSZ

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


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


©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter & Materials Physics
Pull Kitten Heels Sandals Materials Open CCALP015010 VogueZone009 On Women Toe Gold Blend Solid ZwgwtB4xq

Authors & Affiliations Pumps Comfort BalaMasa APL10394 Solid Backpacking Blue Womens Shoes Hiking Urethane

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

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

Pumps Solid Womens Comfort Hiking Shoes Blue Backpacking Urethane BalaMasa APL10394 Other Options

Download & Share

PDF Export Reuse & Permissions


1 of Blue APL10394 Hiking Shoes BalaMasa Backpacking Pumps Solid Comfort Womens Urethane 4
  1. Comfort Hiking Blue Solid Backpacking APL10394 Shoes Womens Urethane BalaMasa Pumps

Sign up to receive regular email alerts from Physical Review B

Womens Comfort Blue Urethane Backpacking Shoes Hiking Pumps BalaMasa APL10394 Solid

Log In


APL10394 BalaMasa Womens Backpacking Hiking Urethane Pumps Solid Comfort Shoes Blue Search

Blue APL10394 Hiking Comfort Urethane Solid Backpacking Womens Shoes BalaMasa Pumps

Article Lookup

Paste a citation or DOI

Enter a citation