Effects of strong correlations on the nonlinear response in Weyl-Kondo semimetals
arXiv:2103.03522 · doi:10.1103/PhysRevB.104.085151
Abstract
Nonlinear responses give rise to various exciting phenomena, which are forbidden in linear responses. Among them, one of the most fascinating phenomena is the recently observed giant spontaneous Hall effect in . This material is a promising candidate for a Weyl-Kondo semimetal, and this experiment implies that strong correlation effects can enhance the nonlinear Hall effect. However, most theoretical studies on nonlinear responses have been limited to free systems, and the connection between nonlinear responses and strong correlation effects is poorly understood. Motivated by these experiments and recent theoretical advances to analyze strong correlation effects on the nonlinear response, we study a periodic Anderson model describing using the dynamical mean-field theory. We calculate the nonlinear longitudinal conductivity and the nonlinear Hall conductivity using the Kubo formula extended to the nonlinear response regime and clarify their temperature dependences. We numerically show that strong correlations can enhance nonlinear conductivities, and we conclude that the magnitude of the experimentally observed giant nonlinear Hall effect can be explained by strong correlation effects.
arXiv comment10 pages, 9 figures in the main text; 4 pages, 6 figures in the appendix
References in corpus (36)
- The numerical renormalization group method for quantum impurity systems
- Quantum nonlinear Hall effect induced by Berry curvature dipole in time-reversal invariant materials
- Observation of the chiral magnetic effect in ZrTe5
- Topological Kondo Insulators
- Observation of the nonlinear Hall effect under time reversal symmetric conditions
- Heavy Fermions and Quantum Phase Transitions
- How do Fermi liquids get heavy and die?
- The Chiral Magnetic Effect and Anomaly-Induced Transport
- Topological Kondo Insulators
- The Berry curvature dipole in Weyl semimetal materials: an ab initio study
- Giant intrinsic spin Hall effect in the TaAs family of Weyl semimetals
- Diagrammatic approach to nonlinear optical response with application to Weyl semimetals
- Band signatures for strong nonlinear Hall effect in bilayer WTe
- Berry curvature dipole current in transition metal dichalcogenides family
- Weyl-Kondo Semimetal in Heavy Fermion Systems
- Symmetry and Quantum Kinetics of the Non-linear Hall Effect
- Boltzmann-equation approach to anomalous transport in a Weyl metal
- Giant spontaneous Hall effect in a nonmagnetic Weyl-Kondo semimetal
- Kondo Breakdown in Topological Kondo Insulators
- Nonlinear Hall Acceleration and the Quantum Rectification Sum Rule
- Kondo Insulator to Semimetal Transformation Tuned by Spin-Orbit Coupling
- Nonlinear optical responses of crystalline systems: Results from a velocity gauge analysis
- Evidence for Weyl fermions in a canonical heavy-fermion semimetal YbPtBi
- Highly tunable nonlinear Hall effects induced by spin-orbit couplings in strained polar transition-metal dichalcogenides
- Effects of renormalization and non-Hermiticity on nonlinear responses in strongly-correlated electron systems
- Basis-Independent Spectral Methods for Non-linear Optical Response in Arbitrary Tight-binding Models
- Surface Kondo Effect and Non-Trivial Metallic State of the Kondo Insulator YbB12
- Nonreciprocal current from electron interactions in noncentrosymmetric crystals: roles of time reversal symmetry and dissipation
- Coexistence of light and heavy surface states in a topological multi-band Kondo insulator
- Weyl-Kondo semimetals in nonsymmorphic systems
- Heavy Weyl fermion state in CeRuSn
- Quantum kinetic theory of shift current electron pumping in semiconductors
- From weak to strong disorder in Weyl semimetals: Self-consistent Born approximation
- Magnetic field-tuned quantum criticality in a Kondo insulator
- Pristine quantum criticality in a Kondo semimetal
- Effect of disorder on the transverse magnetoresistance of Weyl semimetals