Fractional charge and zero modes for planar systems in a magnetic field

1984 ◽  
Vol 29 (10) ◽  
pp. 2375-2377 ◽  
Author(s):  
R. Jackiw
Keyword(s):  
Magnetic Field ◽  
Fractional Charge ◽  
Zero Modes ◽  
Planar Systems

Zero Modes & Fractional Charge in Bilayer Graphene

2011 ◽  
Author(s):  
J. C. Martinez ◽  
M. B. A. Jalil ◽  
S. G. Tan ◽  
Jisoon Ihm ◽  
Hyeonsik Cheong
Keyword(s):  
Bilayer Graphene ◽  
Fractional Charge ◽  
Zero Modes

scholarly journals Magnetic field driven metal-insulator phase transition in planar systems

2002 ◽  
Vol 66 (4) ◽  
Author(s):  
E. V. Gorbar ◽  
V. P. Gusynin ◽  
V. A. Miransky ◽  
I. A. Shovkovy
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Metal Insulator ◽  
Insulator Phase Transition ◽  
Planar Systems

scholarly journals Zero modes on cosmic strings in an external magnetic field

2006 ◽  
Vol 74 (2) ◽  
Author(s):  
Francesc Ferrer ◽  
Harsh Mathur ◽  
Tanmay Vachaspati ◽  
Glenn Starkman
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Cosmic Strings ◽  
Zero Modes

scholarly journals MULTI-ANYONS IN THE MAGNETIC FIELD

1999 ◽  
Vol 13 (26) ◽  
pp. 925-932
Author(s):  
TAESEUNG CHOI ◽  
JUNGJAI LEE ◽  
CHANG-MO RYU
Keyword(s):  
Magnetic Field ◽  
Statistical Parameter ◽  
The Other ◽  
Magnetic Field Effects ◽  
Flux Quantum ◽  
Statistical Parameters ◽  
Fractional Charge ◽  
Integer Multiple ◽  
Exact Ground State ◽  
The Magnetic Field

We consider the external magnetic field effects on the two types of anyons with fractional statistical parameter p/q with coprimes p and q, one with a fractional charge e/q and the other with a fractional flux p ϕ0/q by exact ground state wave function. We also study the geometry in which a two-dimensional strip of anyons contains an island of anyons with different statistical parameters in their equilibrium. The equilibrium inside an island is shown to be periodic with respect to the magnetic flux through the island. The period for the fractional charge anyon equals to the integer multiple of the fundamental flux quantum. On the other hand, in the case of the fractional flux anyon, the period is found to be the fractional multiple of the fundamental flux quantum.

scholarly journals Zero modes, energy gap, and edge states of anisotropic honeycomb lattice in a magnetic field

2009 ◽  
Vol 80 (12) ◽  
Author(s):  
Kenta Esaki ◽  
Masatoshi Sato ◽  
Mahito Kohmoto ◽  
Bertrand I. Halperin
Keyword(s):  
Magnetic Field ◽  
Energy Gap ◽  
Honeycomb Lattice ◽  
Edge States ◽  
Zero Modes
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