Spin susceptibilities in magnetic type-I and type-II Weyl semimetals

Abstract

We investigate interacting spin susceptibilities in lattice models for $\mathcal{T}$-reversal symmetry-broken Weyl semimetals. We employ a random phase approximation (RPA) method for the spin-SU(2)-symmetry-broken case that includes mixtures of ladder and bubble diagrams, beyond a SU(2)-symmetric case. Within this approach, the relations between the tendency towards magnetic order and the band structure tilt parameter $\gamma$ under different temperatures are explored. The critical interaction strength $U_c$ for magnetic ordering decreases as the tilt term changes from type-I Weyl semimetals to type-II. The lower temperature, the sharper is the drop in $U_c$ at the critical point between them. The variation of $U_c$ with a slight doping near half-filling is also studied. It is generally found that these Weyl systems show a strongly anisotropic spin response with an enhanced doubly degenerate transverse susceptibility perpendicular to tilt direction, inherited from ${\mathcal{C}}_{4z}$ rational symmetry of bare Hamiltonian, but with the longitudinal response suppressed with respect to that. For small tilts $\gamma$ and strong enough interaction, we find two degenerate ordering patterns with spin order orthogonal to the tilt direction but much shorter spin correlation length parallel to the spin direction. With increasing the tilt, the system develops instabilities with respect to in-plane magnetic orders with wavevector $(0,\pi ,q_z)$ and $(\pi ,0,q_z)$, with $q_z$ increasing from 0 to $\pi$ before the transition to a type-II Weyl semimetal is reached. These results indicate a greater richness of magnetic phases in correlated Weyl semimetals that also pose challenges for precise theoretical descriptions.

arXiv comment10 pages, 8 figures

References in corpus (55)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Weyl and Dirac Semimetals in Three Dimensional Solids
• Type-II Weyl Semimetals
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• Topological Materials: Weyl Semimetals
• Experimental discovery of Weyl semimetal TaAs
• Observation of the chiral anomaly induced negative magneto-resistance in 3D Weyl semi-metal TaAs
• Giant anomalous Hall effect in a ferromagnetic Kagome-lattice semimetal
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Classification of stable three-dimensional Dirac semimetals with nontrivial topology
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
• Superconductivity in Weyl Semimetal Candidate MoTe2
• Signatures of the Adler-Bell-Jackiw chiral anomaly in a Weyl Fermion semimetal
• Dirac Semimetals in Two Dimensions
• Functional renormalization group approach to correlated fermion systems
• Prediction of the Weyl semimetal in the orthorhombic MoTe2
• Evidence for Magnetic Weyl Fermions in a Correlated Metal
• Experimental discovery of a topological Weyl semimetal state in TaP
• Anomalous Hall Effect in Weyl Metals
• Topological and magnetic phases of interacting electrons in the pyrochlore iridates
• Weyl Semimetals, Fermi Arcs and Chiral Anomalies (A Short Review)
• Chiral gauge field and axial anomaly in a Weyl semi-metal
• Evidence for an axionic charge density wave in the Weyl semimetal (TaSe4)2I
• Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Field-Selective Anomaly and Chiral Mode Reversal in Type-II Weyl Materials
• Topological Magnetic Phase in the Candidate Weyl Semimetal CeAlGe
• Beyond Triplet: Unconventional Superconductivity in a Spin-3/2 Topological Semimetal
• Emergent space-time supersymmetry in 3D Weyl and 2D Dirac semimetals
• Correlation effects on 3D topological phases: from bulk to boundary
• A Charge-Density-Wave Topological Semimetal
• Measuring Chern numbers above the Fermi level in the Type II Weyl semimetal Mo${}_x$W${}_{1-x}$Te${}_2$
• Magnetism and anomalous transport in the Weyl semimetal PrAlGe: Possible route to axial gauge fields
• Minimal models for topological Weyl semimetals
• High-performance functional renormalization group calculations for interacting fermions
• Weyl semimetals with short-range interactions
• Engineering Weyl phases and nonlinear Hall effects in T${}_d$-MoTe${}_2$
• Canted Spin Texture and Quantum Spin Hall Effect in WTe2
• Surface Superconductivity in the type II Weyl Semimetal TaIrTe4
• Correlation effects in double-Weyl semimetals
• Temperature-induced band shift in ferromagnetic Weyl semimetal Co3Sn2S2
• Observation of Weyl nodes in robust type-II Weyl semimetal WP2
• Density wave instabilities and surface state evolution in interacting Weyl semimetals
• Spin Excitations and Spin Wave Gap in the Ferromagnetic Weyl Semimetal Co${}_3$Sn${}_2$S${}_2$
• Correlated triple-Weyl semimetals with Coulomb interactions
• Topological quantum critical point in a triple-Weyl semimetal: non-Fermi-liquid behaviors and instabilities
• Anomalous Hall transport in tilted multi-Weyl semimetals
• Functional renormalization group for fermion lattice models in three dimensions: application to the Hubbard model on the cubic lattice
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Correlation Driven Topological Insulator-to-Weyl Semimetal Transition in Actinide System UNiSn
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• Interaction-induced phase transitions of type-II Weyl semimetals
• On the nature of the magnetic phase transition in a Weyl semimetal
• Spin density wave order in interacting type-I and type-II Weyl semimetals

Cited by in corpus (1)

• Signatures of Lifshitz transition in the optical conductivity of two-dimensional tilted Dirac materials