Optical Hall effect measurement of coupled phonon mode - Landau Level transitions in epitaxial Graphene on silicon carbide

2013 ◽  
Vol 1505 ◽  
Author(s):  
P. Kühne ◽  
A. Boosalis ◽  
C. M. Herzinger ◽  
L.O. Nyakiti ◽  
V.D. Wheeler ◽  
...  

ABSTRACTWe report on mid-infrared (600 – 4000 cm-1), refection-type optical-Hall effect measurements on epitaxial graphene grown on C-face silicon carbide and present Landau-level transition features detected at 1.5 K as a function of magnetic field up to 8 Tesla. The Landau-level transitions are detected in reflection configuration at oblique incidence for wavenumbers below, across and above the silicon carbide reststrahlen range. Small Landau-level transition features are enhanced across the silicon carbide reststrahlen range due to surface-guided wave coupling with the electronic Landau-level transitions in the graphene layer. We analyze the spectral and magnetic-field dependencies of the coupled resonances, and compare our findings with previously reported Landau-level transitions measured in transmission configuration [4,5,6]. Additional features resemble transitions previously assigned to bilayer inclusion [21], as well as graphite [15]. We discuss a model description to account for the electromagnetic polarizability of the graphene layers, and which is sufficient for quantitative model calculation of the optical-Hall effect data.

2013 ◽  
Vol 111 (7) ◽  
Author(s):  
P. Kühne ◽  
V. Darakchieva ◽  
R. Yakimova ◽  
J. D. Tedesco ◽  
R. L. Myers-Ward ◽  
...  

1994 ◽  
Vol 08 (05) ◽  
pp. 529-579 ◽  
Author(s):  
R. FERRARI

The formalism introduced in a previous paper is used for discussing the Coulomb interaction of many electrons moving in two space-dimensions in the presence of a strong magnetic field. The matrix element of the Coulomb interaction is evaluated in the new basis, whose states are invariant under discrete translations (up to a gauge transformation). This paper is devoted to the case of low filling factor, thus we limit ourselves to the lowest Landau level and to spins all oriented along the magnetic field. For the case of filling factor νf = 1/u we give an Ansatz on the state of many electrons which provides a good approximated solution of the Hartree–Fock equation. For general filling factor νf = u′/u a trial state is given which converges very rapidly to a solution of the self-consistent equation. We generalize the Hartree–Fock equation by considering some correlation: all quantum states are allowed for the u′ electrons with the same translation quantum numbers. Numerical results are given for the mean energy and the energy bands, for some values of the filling factor (νf = 1/2, 1/3, 2/3, 1/4, 3/4, 1/5, 2/5, 3/5, 4/5). Our results agree numerically with the Charge Density Wave approach. The boundary conditions are shown to be very important: only large systems (degeneracy of Landau level over 200) are not affected by the boundaries. Therefore results obtained on small scale systems are somewhat unreliable. The relevance of the results for the Fractional Quantum Hall Effect is briefly discussed.


Carbon ◽  
2021 ◽  
Vol 172 ◽  
pp. 248-259
Author(s):  
Nerijus Armakavicius ◽  
Philipp Kühne ◽  
Jens Eriksson ◽  
Chamseddine Bouhafs ◽  
Vallery Stanishev ◽  
...  

Open Physics ◽  
2008 ◽  
Vol 6 (4) ◽  
Author(s):  
Joung Sug ◽  
Su Lee ◽  
Jong Kim

AbstractWe study the optical Quantum Transition Line Shapes (QTLS) which show the absorption power and the Quantum Transition Line Widths (QTLW) of electron-deformation potential phonon interacting systems. In order to analyze the quantum transition, we compare the magnetic field dependencies of the QTLWand the QTLS on two transition processes, namely the intra-Landau level transition process and the inter-Landau level transition process. We apply the Quantum Transport theory (QTR) to the system in the confinement of electrons by square well confinement potential. We use the projected Liouville equation method with Equilibrium Average Projection Scheme (EAPS).


2016 ◽  
Vol 33 (8) ◽  
pp. 1553 ◽  
Author(s):  
Mathias Schubert ◽  
Philipp Kühne ◽  
Vanya Darakchieva ◽  
Tino Hofmann

2017 ◽  
Vol 421 ◽  
pp. 357-360 ◽  
Author(s):  
Nerijus Armakavicius ◽  
Chamseddine Bouhafs ◽  
Vallery Stanishev ◽  
Philipp Kühne ◽  
Rositsa Yakimova ◽  
...  

2009 ◽  
Vol 95 (12) ◽  
pp. 122102 ◽  
Author(s):  
J. L. Tedesco ◽  
B. L. VanMil ◽  
R. L. Myers-Ward ◽  
J. M. McCrate ◽  
S. A. Kitt ◽  
...  

2021 ◽  
Author(s):  
Young-Gwan Choi ◽  
Manh-Ha Doan ◽  
Youngkuk Kim ◽  
Gyung-Min Choi

Abstract The ordinary Hall effect refers to generation of a transverse voltage upon exertion of an electric field in the presence of an out-of-plane magnetic field. While a linear Hall effect is commonly observed in systems with breaking time-reversal symmetry via an applied external magnetic field or their intrinsic magnetization1, 2, a nonlinear Hall effect can generically occur in non-magnetic systems associated with a nonvanishing Berry curvature dipole3. Here we report, observations of a nonlinear optical Hall effect in a Weyl semimetal WTe2 without an applied magnetic field at room temperature. We observe an optical Hall effect resulting in a polarization rotation of the reflected light, referred to as the nonlinear Kerr rotation. The nonlinear Kerr rotation linearly depends on the charge current and optical power, which manifests the fourth-order nonlinearity. We quantitatively determine the fourth-order susceptibility, which exhibits strong anisotropy depending on the directions of the charge current and the light polarization. Employing symmetry analysis of Berry curvature multipoles, we demonstrate that the nonlinear Kerr rotations can arise from the Berry curvature hexapole allowed by the crystalline symmetries of WTe2. There also exist marginal signals that are incompatible with the symmetries, which suggest a hidden phase associated with the nonlinear process.


2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Sean Knight ◽  
Tino Hofmann ◽  
Chamseddine Bouhafs ◽  
Nerijus Armakavicius ◽  
Philipp Kühne ◽  
...  

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