The Hall number across a van Hove singularity

Abstract

In the context of the relaxation time approximation to Boltzmann transport theory, we examine the behavior of the Hall number, $n_H$, of a metal in the neighborhood of a Lifshitz transition from a closed Fermi surface to open sheets. We find a universal non-analytic dependence of $n_H$ on the electron density in the high field limit, but a non-singular dependence at low fields. The existence of an assumed nematic transition produces a doping dependent $n_H$ similar to that observed in recent experiments in the high temperature superconductor YBa${}_2$Cu${}_3$O${}_{7-x}$.

References added, text modified to include extended discussion of the modified Figure 4. 5 pages, 4 figures, with 13 pages of Supplemental Material

References in corpus (13)

• Electronic liquid crystal state in the high-temperature superconductor YBCO(6.45)
• Strong Peak in $T_c$ of Sr${}_2$RuO${}_4$ Under Uniaxial Pressure
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Superconductivity and non-Fermi liquid behavior near a nematic quantum critical point
• Fermi-surface transformation across the pseudogap critical point of the cuprate superconductor La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$
• Strain Control of Fermiology and Many-Body Interactions in Two-Dimensional Ruthenates
• Quantum Phase Transition in the Normal State of High-Tc Cuprates at Optimum Doping
• Fermi surface reconstruction and drop of Hall number due to spiral antiferromagnetism in high-$T_c$ cuprates
• Fractionalized Fermi liquid with bosonic chargons as a candidate for the pseudogap metal
• Spin density wave order, topological order, and Fermi surface reconstruction
• Cold-spots and glassy nematicity in underdoped cuprates
• Confinement transition to density wave order in metallic doped spin liquids
• The number of holes contained within the Fermi surface volume in underdoped high temperature superconductors

Cited by in corpus (22)

• Chern Insulators and Topological Flat-bands in Magic-angle Twisted Bilayer Graphene
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• Cuprate superconductors as viewed through a striped lens
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• Intrinsic nonlinear Hall effect and gate-switchable Berry curvature sliding in twisted bilayer graphene
• Restored strange metal phase through suppression of charge density waves in underdoped YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Vanishing nematic order beyond the pseudogap phase in overdoped cuprate superconductors
• Locating the pseudogap closing point in cuprate superconductors: absence of entrant or reentrant behavior
• Phenomenological theories of the low-temperature pseudogap: Hall number, specific heat and Seebeck coefficient
• Thermopower across the phase diagram of the cuprate La${}_{1.6-x}$Nd${}_{0.4}$Sr${}_x$CuO${}_4$ : signatures of the pseudogap and charge-density-wave phases
• Charge carrier drop at the onset of pseudogap behavior in the two-dimensional Hubbard model
• Transport signatures of the pseudogap critical point in the cuprate superconductor Bi${}_2$Sr${}_{2-x}$La${}_x$CuO${}_{6+\delta }$
• Wiedemann-Franz law and abrupt change in conductivity across the pseudogap critical point of a cuprate superconductor
• Pseudogap to metal transition in the anisotropic two-dimensional Hubbard model
• Origin of anomalous magnetotransport in kagome superconductors AV${}_3$Sb${}_5$ (A=K,Rb,Cs)
• Suppression of Hall number due to charge density wave order in high-$T_c$ cuprates
• Semiclassical transport with Berry curvature: Chambers formula and applications to systems with Fermi surface topological transitions
• Beyond Drude transport in hydrodynamic metals
• Magnetotransport in overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: a Fermi liquid approach
• Observation of quantum oscillations near the Mott-Ioffe-Regel limit in CaAs3
• Magnetotransport in overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: Effect of anisotropic scattering
• Electrical Conductivity in Quantum Materials