Sliding electron crystals develop a transverse Hall velocity set by Galilean non-invariance as well as parent-band Berry curvature, so the net Hall conductance is generally unquantized.
Signatures of sliding Wigner crystals in bilayer graphene at zero and finite magnetic fields
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abstract
AB-stacked bilayer graphene has emerged as a fascinating yet simple platform for exploring macroscopic quantum phenomena of correlated electrons. Unexpectedly, a phase with negative dR/dT has recently been observed when a large electric displacement field is applied and the charge carrier density is tuned to the vicinity of an ultra-low-density van Hove singularity. This phase exhibits features consistent with Wigner crystallization, including a characteristic temperature dependence and non-linear current bias behavior. However, more direct evidence for the emergence of an electron crystal in AB-stacked bilayer graphene at zero magnetic field remains elusive. Here we explore the low-frequency noise consistent with depinning and sliding of a Wigner crystal lattice. The current bias and frequency dependence of these noise spectra align well with findings from previous experimental and theoretical studies on the quantum electron solids. Our results offer transport signatures consistent with Wigner crystallization in AB-stacked bilayer graphene at zero and finite magnetic fields, paving the way for further substantiating an anomalous Hall crystal in its original form.
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cond-mat.mes-hall 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
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Berry Phase Dynamics of Sliding Electron Crystals
Sliding electron crystals develop a transverse Hall velocity set by Galilean non-invariance as well as parent-band Berry curvature, so the net Hall conductance is generally unquantized.