Quantum-critical resistivity of strange metals in a magnetic field

Abstract

Resistivity in the quantum-critical fluctuation region of several metallic compounds such as the cuprates, the heavy-fermions, Fe-chalogenides and pnictides, twisted bi-layer graphene and WSe${}_2$, is linear in temperature $T$ as well as in a magnetic field $H$. Scattering of fermions by the excitations of a time-reversal odd polar vector field $\mathbf{\Omega }$ characterizing loop-current fluctuations has been shown to give a linear in T resistivity and other anomalous properties in the cuprates. An extension of this theory to an applied magnetic field is presented. Magnetic field is shown to generate vortices in the field $\mathbf{\Omega }$ proportional to $H_z$, the component orthogonal to the conducting planes. The elastic scattering of fermions from the vortices gives a resistivity linear in $H_z$. The coefficient of the linear in $H_z$ resistivity is predicted to vary as the marginal fermi-liquid susceptibility $\propto \ln (\frac{{\omega }_c}{T})$ at criticality. Quantitative comparison with experiments is presented.

Improved figure for T dependence of the coefficient of linear in H resistivity in Moire' bi-layer graphene. Some minor corrections

References in corpus (9)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• To What Extent Iron-Pnictide New Superconductors Have Been Clarified: A Progress Report
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• Multiple energy scales at a quantum critical point
• Theory of the Quantum Critical Fluctuations in Cuprates
• Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids
• Ordered Loop Current States in Bilayer Graphene
• The superconductor KxSr(1-x)Fe2As2: Normal state and superconducting properties
• Local Quantum Criticality in the Two-dimensional Dissipative Quantum XY Model

Cited by in corpus (3)

• Loop current fluctuations and quantum critical transport
• Local magnetic moments due to loop currents in metals
• Quantum-critical transport in marginal Fermi liquids