Detecting Lifshitz Transitions Using Nonlinear Conductivity in Bilayer Graphene

Abstract

The second-order nonlinear electrical response (NLER) is an intrinsic property of inversion symmetry-broken systems which can provide deep insights into the electronic band structures of atomically thin quantum materials. However, the impact of Fermi surface reconstructions, also known as Lifshitz transitions, on the NLER has remained elusive. We investigated NLER in bilayer graphene (BLG), where the low-energy bands undergo Lifshitz transitions. Here, NLER undergoes a sign change near the Lifshitz transitions even at elevated temperatures $T\gtrsim 10$K. At the band edge, NLER in BLG is modulated by both extrinsic scattering and interfacial-strain-induced intrinsic Berry curvature dipole, both of which can be finely tuned externally by varying doping and interlayer potential. Away from the band edge, BLG exhibits second-order conductivity exceeding $30\mu$mV${}^{-1}{\Omega }^{-1}$ at 3K higher than any previous report. Our work establishes NLER as a reliable tool to probe Lifshitz transitions in quantum materials.

This is the pre-peer reviewed version of the following article: Ahmed, T. et al., Small 2025, 21 (21), 2501426, which has been published in final form at https://doi.org/10.1002/smll.202501426. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions

References in corpus (31)

• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Landau level degeneracy and quantum Hall effect in a graphite bilayer
• The electronic properties of bilayer graphene
• Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Raman spectroscopy as probe of nanometer-scale strain variations in graphene
• Generation and detection of pure valley current by electrically induced Berry curvature in bilayer graphene
• Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
• Nonlinear Hall Effects
• Strain fields in twisted bilayer graphene
• Disorder-induced nonlinear Hall effect with time-reversal symmetry
• High-frequency rectification via chiral Bloch electrons
• Berry curvature dipole senses topological transition in a moiré superlattice
• Quantum frequency doubling in the topological insulator Bi2Se3
• Zero-magnetic-field Hall effects in artificially corrugated bilayer graphene
• Berry Curvature Dipole in Strained Graphene: a Fermi Surface Warping Effect
• Giant nonlinear Hall effect in twisted WSe${}_2$
• Quantum geometry induced second harmonic generation
• Anomalous sequence of quantum Hall liquids revealing tunable Lifshitz transition in bilayer graphene
• Intrinsic nonlinear Hall effect and gate-switchable Berry curvature sliding in twisted bilayer graphene
• Tunable moiré materials for probing Berry physics and topology
• Tunable Lifshitz Transitions and Multiband Transport in Tetralayer Graphene
• Odd non-linear conductivity under spatial inversion in chiral Tellurium
• Probing the tunable multi-cone bandstructure in Bernal bilayer graphene
• Evidence of Lifshitz transition in thermoelectric power of ultrahigh mobility bilayer graphene
• Heteromoiré Engineering on Magnetic Bloch Transport in Twisted Graphene Superlattices
• Nonlinear electrical transport unveils Fermi surface malleability in a moiré heterostructure
• Unveiling intrinsic bulk photovoltaic effect in atomically thin ReS2
• Symmetry Origin and Microscopic Mechanism of Electrical Magnetochiral Anisotropy in Tellurium
• Kagomé quantum oscillations in graphene superlattices
• Observation of giant nonlinear Hall conductivity in Bernal bilayer graphene

Cited by in corpus (7)

• Intrinsic nonlinear Nernst and Seebeck effect
• Nonlinear bulk photocurrent probe Z2 topological phase transition
• Planar Nernst effect from hidden band geometry in layered two-dimensional materials
• Second-Order Conductivity Probes a Cascade of Singularities in a Moiré Superlattice
• Band Geometry Induced Third-Harmonic Generation
• Ferroelectric hysteresis in singly aligned graphene-hBN moiré superlattices
• Second-Order Synaptic Memory using Inherent Plasticity of Moiré Superlattices