scholarly journals Spontaneous symmetry breaking and exotic quantum orders in integer quantum Hall systems under a tilted magnetic field

2003 ◽  
Vol 68 (16) ◽  
Author(s):  
Daw-Wei Wang ◽  
Eugene Demler ◽  
S. Das Sarma
Keyword(s):  
Magnetic Field ◽  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Quantum Hall ◽  
Quantum Hall Systems ◽  
Integer Quantum ◽  
Tilted Magnetic Field

scholarly journals EDGE CURRENTS FOR QUANTUM HALL SYSTEMS I: ONE-EDGE, UNBOUNDED GEOMETRIES

2008 ◽  
Vol 20 (01) ◽  
pp. 71-115 ◽  
Author(s):  
PETER D. HISLOP ◽  
ERIC SOCCORSI
Keyword(s):  
Magnetic Field ◽  
Quantum Hall ◽  
Random Potentials ◽  
Absolutely Continuous ◽  
Potential Barriers ◽  
Confining Potential ◽  
Integer Quantum Hall Effect ◽  
Quantum Hall Systems ◽  
Integer Quantum ◽  
The Magnetic Field

Devices exhibiting the integer quantum Hall effect can be modeled by one-electron Schrödinger operators describing the planar motion of an electron in a perpendicular, constant magnetic field, and under the influence of an electrostatic potential. The electron motion is confined to unbounded subsets of the plane by confining potential barriers. The edges of the confining potential barrier create edge currents. In this, the first of two papers, we prove explicit lower bounds on the edge currents associated with one-edge, unbounded geometries formed by various confining potentials. This work extends some known results that we review. The edge currents are carried by states with energy localized between any two Landau levels. These one-edge geometries describe the electron confined to certain unbounded regions in the plane obtained by deforming half-plane regions. We prove that the currents are stable under various potential perturbations, provided the perturbations are suitably small relative to the magnetic field strength, including perturbations by random potentials. For these cases of one-edge geometries, the existence of, and the estimates on, the edge currents imply that the corresponding Hamiltonian has intervals of absolutely continuous spectrum. In the second paper of this series, we consider the edge currents associated with two-edge geometries describing bounded, cylinder-like regions, and unbounded, strip-like, regions.

scholarly journals Systematic study of nonideal contacts in integer quantum Hall systems

2009 ◽  
Vol 80 (23) ◽  
Author(s):  
Christoph Uiberacker ◽  
Christian Stecher ◽  
Josef Oswald
Keyword(s):  
Systematic Study ◽  
Quantum Hall ◽  
Quantum Hall Systems ◽  
Integer Quantum

scholarly journals Quantum Hall Ferromagnetic-Paramagnetic Transition in p-Si/SiGe/Si Quantum Wells in a Tilted Magnetic Field

2012 ◽  
Vol 400 (4) ◽  
pp. 042005 ◽  
Author(s):  
I L Drichko ◽  
I Yu Smirnov ◽  
A V Suslov ◽  
O A Mironov ◽  
D R Leadley
Keyword(s):  
Magnetic Field ◽  
Quantum Wells ◽  
Quantum Hall ◽  
Tilted Magnetic Field

OBSERVATIONS OF PARALLEL FIELD INDUCED REENTRANT QUANTUM HALL EFFECTS IN WIDE GaAs QUANTUM WELLS

2009 ◽  
Vol 23 (12n13) ◽  
pp. 2808-2812
Author(s):  
D. R. LUHMAN ◽  
W. PAN ◽  
T. M. LU ◽  
D. C. TSUI ◽  
L. N. PFEIFFER ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Quantum Wells ◽  
Field Experiments ◽  
Quantum Hall ◽  
Particle Energy ◽  
Level Crossing ◽  
Quantum Hall States ◽  
Parallel Field ◽  
Hall Effects ◽  
Tilted Magnetic Field

We report the results of tilted magnetic field experiments on three high quality wide GaAs quantum wells, with particular emphasis on the N ≥ 1 Landau levels. With an increasing component of in-plane magnetic field, B∥, we observe reentrant behavior for the odd filling factor quantum Hall states. This reentrance is not explained within a single-particle energy level crossing scheme and may be related to the collapse of interlayer tunneling.

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