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.

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

References in corpus (40)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Superconductors, Orbital Magnets, and Correlated States in Magic Angle Bilayer Graphene
• To What Extent Iron-Pnictide New Superconductors Have Been Clarified: A Progress Report
• Onset of antiferromagnetism in heavy fermion metals
• Non Fermi-Liquid States and Pairing of a general Model of Copper-Oxide Metals
• Strange metal in magic-angle graphene with near Planckian dissipation
• Emergent quantum criticality, Fermi surfaces, and AdS2
• Quantum critical point lying beneath the superconducting dome in iron-pnictides
• Normal-State Spin Dynamics and Temperature-Dependent Spin Resonance Energy in an Optimally Doped Iron Arsenide Superconductor
• Singular Fermi Liquids
• Quantum Criticality in Twisted Transition Metal Dichalcogenides
• Spontaneous time reversal symmetry breaking in the pseudogap state of high-Tc superconductors
• Ground State and Hidden Symmetry of Magic Angle Graphene at Even Integer Filling
• Multiple energy scales at a quantum critical point
• Detection and Implications of a Time-reversal breaking state in underdoped Cuprates
• Linear in Temperature Resistivity and Associated Mysteries
• Scaling of magnetic fluctuations near a quantum phase transition
• Thermodynamic signatures of quantum criticality in cuprates
• A global inversion-symmetry-broken phase inside the pseudogap region of YBa${}_2$Cu${}_3$O${}_y$
• Scale-invariant magnetoresistance in a cuprate superconductor
• Magnetoresistance near a quantum critical point
• Novel magnetic order in pseudogap state of high Tc copper oxides superconductors
• Theory of the Quantum Critical Fluctuations in Cuprates
• Time-Reversal Symmetry Breaking and Spontaneous Anomalous Hall Effect in Fermi Fluids
• Optical Birefringence and Dichroism of Cuprate Superconductors in the THz regime
• Phase Diagram of a Three Orbital Model for the high-T${}_c$ cuprates
• Polar Kerr Effect and Time Reversal Symmetry Breaking in Bilayer Graphene
• Theory of Superconductivity in the Cuprates
• Berry phase and Anomalous Hall Effect in a Three-orbital Tight-binding Hamiltonian
• Theory of the Strange Metal Sr${}_3$Ru${}_2$O${}_7$
• 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
• Quantum criticality in the two-dimensional dissipative quantum XY model-II
• Topological Excitations near the Local Critical Point in the Dissipative 2D XY model
• Phase diagram and quantum-criticality of the two dimensional dissipative quantum XY model
• Theory of Polarized Neutron Scattering in the Loop Ordered Phase of Cuprates
• Quantum critical response function in quasi-two dimensional itinerant antiferromagnets
• Anisotropy in the Magnetoresistance Scaling of BaFe${}_2$(As${}_{1-x}$P${}_x$)${}_2$
• Spin dynamics near a putative antiferromagnetic quantum critical point in Cu substituted BaFe${}_2$As${}_2$ and its relation to high-temperature superconductivity

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