Typical values of l so ( T ) obtained from the full HLN expression, Ref. , Sec. (e) Determined values of l ϕ ( T ) in epilayers uncovered be Se increase down to 1.5 K (black and red), while in Se covered epilayers l ϕ ( T ) saturates at lower temperatures (blue and magenta). Experimental points (empty squares) are fitted to the one-channel HLN expression in the strong spin-orbit approximation (solid lines) treating l ϕ ( T ) as an adjustable parameter. (d) Evolution of the WAL-like low-field MR with increasing temperature in uncovered (upper panel) and Se covered (lower panel) epilayers. (b) and (c) Longitudinal ρ x x (black symbols) and Hall (red symbols) ρ y x resistivities in high (main figures) and weak fields (insets) in epilayers that are uncovered (b) and covered by Se (c). (a) Photo of a processed Hall-bar (epilayer B, x Sn = 0.11) conducting channel resides on a flat area, avoiding cleavage steps of the Ba F 2 substrate (scale bar is 200 μ m). 9WPI Advanced Institute for Materials Research, Tohoku University, 2-1-1 Katahira, Aoba-ku, Sendai 980-8577, Japanĭetermination of the phase coherence length l ϕ ( T ) from MR data in the magnetic field perpendicular to the epilayer plane.8National Technical University “KhPI”, Kyrpychova Str.7Institut für Halbleiter- und Festkörperphysik, Johannes Kepler University, Altenbergerstrasse 69, A-4040 Linz, Austria.6Helmholtz-Zentrum Berlin für Materialien und Energie, Albert-Einstein Strasse 15, D-12489 Berlin, Germany.5Department of Condensed Matter Physics, Faculty of Science, Masaryk University, Kotlářská 2, Cz-611 37 Brno, Czech Republic.4Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland.3Department of Applied Physics, Aalto University, FI-00076 Aalto, Espoo, Finland.2Institute of Theoretical Physics, Jagiellonian University, ulica S.1International Research Centre MagTop, Institute of Physics, Polish Academy of Sciences, Aleja Lotnikow 32/46, PL-02668 Warsaw, Poland.Domagala 4, Ondřej Caha 5, Andrei Varykhalov 6, Gunther Springholz 7, Tomasz Wojtowicz 1, Valentine V. Our results indicate that the classification of quantum transport phenomena into universality classes should encompass, in addition to time-reversal and spin-rotation invariances, spatial symmetries in specific systems.Īlexander Kazakov 1,*, Wojciech Brzezicki 1,2, Timo Hyart 1,3,†, Bartłomiej Turowski 1, Jakub Polaczyński 1, Zbigniew Adamus 4, Marta Aleszkiewicz 4, Tomasz Wojciechowski 1, Jaroslaw Z. In particular, we find the shortening of the phase coherence length in samples with intentionally broken mirror symmetry. Our experimental studies of WAL-MR corroborate these theoretical expectations in (111) Pb 1 − x Sn x Se thin film with Sn contents x corresponding to both topological crystalline insulator and topologically trivial phases. Here, by considering the SnTe-class of compounds as an example, we show theoretically that breaking of mirror symmetry deteriorates Berry's phase quantization, leading to additional dephasing in weak-antilocalization magnetoresistance (WAL-MR). This surprising phenomenon is assigned to external noise, residual magnetic impurities, or two-level systems specific to noncrystalline solids. Many conductors, including recently studied Dirac materials, show saturation of coherence length on decreasing temperature.
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