scholarly journals Boundary conditions for Dirac fermions on a terminated honeycomb lattice

2008 ◽  
Vol 77 (8) ◽  
Author(s):  
A. R. Akhmerov ◽  
C. W. J. Beenakker
Keyword(s):  
Boundary Conditions ◽  
Honeycomb Lattice ◽  
Dirac Fermions

scholarly journals Boundary states for chiral symmetries in two dimensions

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Philip Boyle Smith ◽  
David Tong
Keyword(s):  
Boundary Conditions ◽  
Ground State ◽  
Zero Mode ◽  
Central Charge ◽  
Two Dimensions ◽  
Dirac Fermions ◽  
Chiral Symmetries ◽  
Boundary States ◽  
Ground State Degeneracy ◽  
Left And Right

Abstract We study boundary states for Dirac fermions in d = 1 + 1 dimensions that preserve Abelian chiral symmetries, meaning that the left- and right-moving fermions carry different charges. We derive simple expressions, in terms of the fermion charge assignments, for the boundary central charge and for the ground state degeneracy of the system when two different boundary conditions are imposed at either end of an interval. We show that all such boundary states fall into one of two classes, related to SPT phases supported by (−1)F , which are characterised by the existence of an unpaired Majorana zero mode.

scholarly journals Hidden charge order of interacting Dirac fermions on the honeycomb lattice

2018 ◽  
Vol 98 (16) ◽  
Author(s):  
Elliot Christou ◽  
Bruno Uchoa ◽  
Frank Krüger
Keyword(s):  
Charge Order ◽  
Honeycomb Lattice ◽  
Dirac Fermions

ON THE QUANTUM HALL EFFECT IN GRAPHENE

2009 ◽  
Vol 23 (20n21) ◽  
pp. 4129-4137
Author(s):  
SHIGEJI FUJITA ◽  
JEONG-HYUK KIM ◽  
KEI ITO ◽  
MANUEL DE LLANO
Keyword(s):  
Hall Effect ◽  
Quantum Hall Effect ◽  
Quantum Hall ◽  
Honeycomb Lattice ◽  
Dirac Fermions ◽  
Linear Dispersion ◽  
Fermi Surfaces ◽  
Electron Wave Packet ◽  
Composite Bosons ◽  
Very High

The unusual quantum Hall effect (QHE) in graphene is often discussed in terms of Dirac fermions moving with a linear dispersion. A new theory describing the same phenomena is presented in terms of the more traditional composite bosons. The "electron" (wave packet) is shown to move easier in the direction [110] ≡ [110 c- axis ] of the honeycomb lattice than perpendicular to it, while the "hole" moves easier in [001]. Since "electrons" and "holes" move in different channels, the number densities can be very high especially when the Fermi surface has "necks". The strong QHE at filling factor ν = 2 arises from the "neck" Fermi surfaces.

scholarly journals Interacting Dirac fermions on honeycomb lattice

2010 ◽  
Vol 82 (24) ◽  
Author(s):  
Wei Wu ◽  
Yao-Hua Chen ◽  
Hong-Shuai Tao ◽  
Ning-Hua Tong ◽  
Wu-Ming Liu
Keyword(s):  
Honeycomb Lattice ◽  
Dirac Fermions

scholarly journals Evidence for Dirac Fermions in a Honeycomb Lattice Based on Silicon

2012 ◽  
Vol 109 (5) ◽  
Author(s):  
Lan Chen ◽  
Cheng-Cheng Liu ◽  
Baojie Feng ◽  
Xiaoyue He ◽  
Peng Cheng ◽  
...  
Keyword(s):  
Honeycomb Lattice ◽  
Dirac Fermions

Comment on “Evidence for Dirac Fermions in a Honeycomb Lattice Based on Silicon”

2013 ◽  
Vol 110 (22) ◽  
Author(s):  
R. Arafune ◽  
C.-L. Lin ◽  
R. Nagao ◽  
M. Kawai ◽  
N. Takagi
Keyword(s):  
Honeycomb Lattice ◽  
Dirac Fermions

scholarly journals Quasi-freestanding epitaxial silicene on Ag(111) by oxygen intercalation

2016 ◽  
Vol 2 (7) ◽  
pp. e1600067 ◽  
Author(s):  
Yi Du ◽  
Jincheng Zhuang ◽  
Jiaou Wang ◽  
Zhi Li ◽  
Hongsheng Liu ◽  
...  
Keyword(s):  
Honeycomb Structure ◽  
Dirac Fermion ◽  
Honeycomb Lattice ◽  
Dirac Fermions ◽  
Spintronic Devices ◽  
Future Design ◽  
Oxygen Intercalation ◽  
Conductive Substrates ◽  
Silicon Based ◽  
Ideal Dielectric

Silicene is a monolayer allotrope of silicon atoms arranged in a honeycomb structure with massless Dirac fermion characteristics similar to graphene. It merits development of silicon-based multifunctional nanoelectronic and spintronic devices operated at room temperature because of strong spin-orbit coupling. Nevertheless, until now, silicene could only be epitaxially grown on conductive substrates. The strong silicene-substrate interaction may depress its superior electronic properties. We report a quasi-freestanding silicene layer that has been successfully obtained through oxidization of bilayer silicene on the Ag(111) surface. The oxygen atoms intercalate into the underlayer of silicene, resulting in isolation of the top layer of silicene from the substrate. In consequence, the top layer of silicene exhibits the signature of a 1 × 1 honeycomb lattice and hosts massless Dirac fermions because of much less interaction with the substrate. Furthermore, the oxidized silicon buffer layer is expected to serve as an ideal dielectric layer for electric gating in electronic devices. These findings are relevant for the future design and application of silicene-based nanoelectronic and spintronic devices.

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