scholarly journals Quantum oscillations of electrical resistivity in an insulator

Science ◽  
2018 ◽  
Vol 362 (6410) ◽  
pp. 65-69 ◽  
Author(s):  
Z. Xiang ◽  
Y. Kasahara ◽  
T. Asaba ◽  
B. Lawson ◽  
C. Tinsman ◽  
...  

In metals, orbital motions of conduction electrons on the Fermi surface are quantized in magnetic fields, which is manifested by quantum oscillations in electrical resistivity. This Landau quantization is generally absent in insulators. Here, we report a notable exception in an insulator—ytterbium dodecaboride (YbB12). The resistivity of YbB12, which is of a much larger magnitude than the resistivity in metals, exhibits distinct quantum oscillations. These unconventional oscillations arise from the insulating bulk, even though the temperature dependence of the oscillation amplitude follows the conventional Fermi liquid theory of metals with a large effective mass. Quantum oscillations in the magnetic torque are also observed, albeit with a lighter effective mass.


2003 ◽  
Vol 17 (04) ◽  
pp. 167-174 ◽  
Author(s):  
A. FERRAZ

Using the renormalization group we calculate the single particle Green's function G and the momentum occupation function [Formula: see text] for a quasiparticle in a two-dimensional Fermi Surface (FS) composed of four symmetric patches with both flat and curved arcs in [Formula: see text]-space. We show that G develops an anomalous dimension as a result of the vanishing of the quasiparticle weight at the FS. [Formula: see text] is a continuous function of [Formula: see text] with an infinite slope at FS for CU*2/(1 - CU*2) < 1. This result resembles a Luttinger liquid and indicates the breakdown of Fermi liquid theory in this regime.



1993 ◽  
Vol 48 (14) ◽  
pp. 10567-10570 ◽  
Author(s):  
Sudhakar Yarlagadda ◽  
Susumu Kurihara




Author(s):  
Gordon Baym ◽  
Christopher Pethick


1999 ◽  
Vol 112 (12) ◽  
pp. 707-711 ◽  
Author(s):  
M.O. Dzero ◽  
L.P. Gor'kov ◽  
V.Z. Kresin


2001 ◽  
Vol 62 (1-2) ◽  
pp. 75-81 ◽  
Author(s):  
K Yamada ◽  
S Koikegami ◽  
Y Yanase ◽  
T Jujo ◽  
T Nomura


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