Quantum Criticality of Type-I and Critically Tilted Dirac Semimetals
arXiv:2501.11143 · doi:10.1016/j.physc.2025.1354687
Abstract
We investigate the universality of an Ising symmetry breaking phase transition of tilted two-dimensional Dirac fermions, in the type-I phase as well as at the Lifshitz transition between a type-I and a type-II semimetal, where the Fermi surface changes from point-like to one with electron and hole pockets that touch at the overtilted Dirac cones. We compute the Landau damping of long-wavelength order parameter fluctuations by tilted Dirac fermions and use the resulting IR propagator as input for a renormalisation-group analysis of the resulting Gross-Neveu-Yukawa field theory. We first demonstrate that the criticality of tilted type-I fermions is controlled by a line of fixed points along which the poles of the renormalised Green function correspond to an untilted Dirac spectrum with varying anisotropy of Fermi velocities. At the phase transition the Lorentz invariance is restored, resulting in the same critical exponents as for conventional Dirac systems. The multicritical point is given by the endpoint of the fixed-point line. It can be approached along any path in parameter space that avoids the fixed point line of the critical type-I semimetal. We show that the critical exponents at the Lifshitz point are different and that Lorentz invariance is broken.
arXiv commentFor an issue of Physics C dedicated to Jan Zaanen
References in corpus (51)
- Type-II Weyl Semimetals
- Topological Crystalline Insulators
- Correlated quantum phenomena in the strong spin-orbit regime
- The electronic properties of bilayer graphene
- Observation of tunable bandgap and anisotropic Dirac semimetal state in black phosphorus
- Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
- Interactions and phase transitions on graphene's honeycomb lattice
- Spectroscopic evidence for type II Weyl semimetal state in MoTe2
- Lorentz-violating type-II Dirac fermions in transition metal dichalcogenide PtTe
- Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
- Merging of Dirac points in a two-dimensional crystal
- Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
- Type-II Dirac fermions in the PtSe class of transition metal dichalcogenides
- Half-metallic semiDirac point generated by quantum confinement in TiO/VO nanostructures
- Non-Fermi liquid and topological states with strong spin-orbit coupling
- A new magnetic field dependence of Landau levels on a graphene like structure
- Tight-binding modeling and low-energy behavior of the semi-Dirac point
- Relativistic Mott criticality in graphene
- Quantum transport in Dirac materials: signatures of tilted and anisotropic Dirac and Weyl cones
- Black hole and Hawking radiation by type-II Weyl fermions
- Antiferromagnetic critical point on graphene's honeycomb lattice: A functional renormalization group approach
- Computation of Critical Exponent ηat O(1/N^3) in the Four Fermi Model in Arbitrary Dimensions
- Exotic Lifshitz transitions in topological materials
- Two-Dimensional Dirac Fermions Protected by Space-Time Inversion Symmetry in Black Phosphorus
- Black Hole Horizon in a Type-III Dirac Semimetal ZnInS
- Bootstrapping 3D Fermions with Global Symmetries
- Lifshitz transitions, type-II Dirac and Weyl fermions, event horizon and all that
- Emergent non-Fermi liquid at the quantum critical point of a topological phase transition in two dimensions
- Probing quantum criticality using nonlinear Hall effect in a metallic Dirac system
- Fractionalized fermionic quantum criticality in spin-orbital Mott insulators
- Two-dimensional type-II Dirac fermions in layered oxides
- Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
- Quantum Criticality of Semi-Dirac Fermions in 2+1 Dimensions
- Tunning the tilt of a Dirac cone by atomic manipulations: application to 8Pmmn borophene
- Disorder Induced Phase Transitions of Type-II Weyl Semimetal
- Unifying Interacting Nodal Semimetals: A New Route to Strong Coupling
- Renormalization Effects on Quasi-Two-Dimensional Organic Conductor α-(BEDT-TTF)2I3
- Anisotropic chiral magnetic effect from tilted Weyl cones
- Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
- Disorder in tilted Weyl semimetals from a renormalization group perspective
- Type-III Dirac Cones from Degenerate Directionally Flat Bands: Viewpoint from Molecular-Orbital Representation
- Fermionic criticality of anisotropic nodal point semimetals away from the upper critical dimension: exact exponents
- Topologically Protected Wormholes in Type-III Weyl Semimetal CoInX (X = S, Se)
- On the renormalization of Coulomb interactions in two-dimensional tilted Dirac fermions
- Thermoelectric transport of type-I, II, and III massless Dirac fermions in two-dimensional lattice model
- Observation of anisotropic Dirac cones in the topological material Ti2Te2P
- Novel criticality of Dirac fermions in the presence of emergent gauge fields
- Novel criticality of Dirac fermions from lattice symmetry breaking
- Realization of a transition between type-I and type-II Dirac semimetals in monolayers
- Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
- Nature of Topological Phase Transition of Kitaev Quantum Spin Liquids