9,736 research outputs found
Cascade of Quantum Phase Transitions in Tunnel-Coupled Edge States
We report on the cascade of quantum phase transitions exhibited by
tunnel-coupled edge states across a quantum Hall line junction. We identify a
series of quantum critical points between successive strong and weak tunneling
regimes in the zero-bias conductance. Scaling analysis shows that the
conductance near the critical magnetic fields is a function of a single
scaling argument , where the exponent .
This puzzling resemblance to a quantum Hall-insulator transition points to
importance of interedge correlation between the coupled edge states.Comment: 4 pages, 3 figure
Probing the Melting of a Two-dimensional Quantum Wigner Crystal via its Screening Efficiency
One of the most fundamental and yet elusive collective phases of an
interacting electron system is the quantum Wigner crystal (WC), an ordered
array of electrons expected to form when the electrons' Coulomb repulsion
energy eclipses their kinetic (Fermi) energy. In low-disorder, two-dimensional
(2D) electron systems, the quantum WC is known to be favored at very low
temperatures () and small Landau level filling factors (), near the
termination of the fractional quantum Hall states. This WC phase exhibits an
insulating behavior, reflecting its pinning by the small but finite disorder
potential. An experimental determination of a vs phase diagram for
the melting of the WC, however, has proved to be challenging. Here we use
capacitance measurements to probe the 2D WC through its effective screening as
a function of and . We find that, as expected, the screening
efficiency of the pinned WC is very poor at very low and improves at higher
once the WC melts. Surprisingly, however, rather than monotonically
changing with increasing , the screening efficiency shows a well-defined
maximum at a which is close to the previously-reported melting temperature
of the WC. Our experimental results suggest a new method to map out a vs
phase diagram of the magnetic-field-induced WC precisely.Comment: The formal version is published on Phys. Rev. Lett. 122, 116601
(2019
Competition Between Fractional Quantum Hall Liquid, Bubble and Wigner Crystal Phases in the Third Landau Level
Magnetotransport measurements were performed in a ultra-high mobility
GaAs/AlGaAs quantum well of density . The
temperature dependence of the magnetoresistance was studied in detail
in the vicinity of . In particular, we discovered new minima in
at filling factor and , but only at
intermediate temperatures mK. We interpret these as
evidence for a fractional quantum Hall liquid forming in the N=2 Landau level
and competing with bubble and Wigner crystal phases favored at lower
temperatures. Our data suggest that a magnetically driven insulator-insulator
quantum phase transition occurs between the bubble and Wigner crystal phases at
T=0.Comment: Phys. Rev. Lett.93 266804 (2004
Multiquantum well structure with an average electron mobility of 4.0×10^6 cm^2/V s
We report a modulation-doped multiquantum well structure which suppresses the usual ambient light effect associated with modulation doping. Ten GaAs quantum wells 300-Å wide are symmetrically modulation doped using Si δ doping at the center of 3600-Å-wide Al0.1Ga0.9As barriers. The low field mobility of each well is 4.0×10^6 cm/V s at a density of 6.4×10^10 cm^−2 measured at 0.3 K either in the dark, or during, or after, exposure to light. This mobility is an order of magnitude improvement over previous work on multiwells
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