Topological phase transitions of semimetal states in effective field theory models
arXiv:2302.07421 · doi:10.1140/epjp/s13360-024-05291-z
Abstract
Effective relativistic field theory models capable of realizing various gapless topological states are presented in this work. We study the topological phase transitions of the Weyl and nodal line semimetal states in effective field theories. When the one form field giving rise to the Weyl nodes lie perpendicular to the plane where the nodal ring lives, the nodal ring and Weyl nodes could coexist as the mirror symmetry responsible for the nodal ring is not broken. New phases including a three-node state and a triple degenerate state exist. The nodal ring is immediately destroyed when the one form field lies in the plane of the ring. However, we show that in an eight-component spinor model, Weyl nodes and nodal rings could still coexist even when the one form field is parallel to the plane, due to the expanded symmetry. Topological invariants are calculated which confirm the interesting nontrivial topology of the three-node state and the triple-degenerate node. This work presents potential topological phase transitions in multiphase topological systems, which may be experimentally detected.
arXiv comment40 pages,15 figures, comments added, typos corrected. Final version to appear in EPJP
References in corpus (50)
- Anyons in an exactly solved model and beyond
- Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
- Type-II Weyl Semimetals
- Lorentz-Violating Extension of the Standard Model
- Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
- Dirac semimetal in three dimensions
- Experimental discovery of Weyl semimetal TaAs
- Topological nodal semimetals
- Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
- Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
- Experimental observation of topological Fermi arcs in type-II Weyl semimetal MoTe2
- Topological nodal line semimetals
- Berry Curvature, Triangle Anomalies, and the Chiral Magnetic Effect in Fermi Liquids
- Fluid dynamics of R-charged black holes
- Gravitational Anomaly and Transport
- Hydrodynamics from charged black branes
- Axionic field theory of (3+1)-dimensional Weyl semi-metals
- Topological Semimetals with Triply Degenerate Nodal Points in θ-phase Tantalum Nitride
- Node-Surface and Node-Line Fermions From Nonsymmorphic Lattice Symmetries
- Experimental signatures of the mixed axial-gravitational anomaly in the Weyl semimetal NbP
- Consequences of a condensed matter realization of Lorentz violating QED in Weyl semi-metals
- Electrical and Thermal Transport at the Planckian Bound of Dissipation in the Hydrodynamic Electron Fluid of WP2
- Towards Three-Dimensional Weyl-SurfaceSemimetals in Graphene Networks
- Co-existence of Weyl Fermion and Massless Triply Degenerate Nodal Points
- Holographic Gravitational Anomaly and Chiral Vortical Effect
- Realization of ideal Weyl semimetal band in ultracold quantum gas with 3D Spin-Orbit coupling
- From Nodal Chain Semimetal To Weyl Semimetal in HfC
- Weyl and Dirac semimetals with Z_2 topological charge
- Type-III Weyl Semimetals: (TaSe4)2I
- Z_2 and Chiral Anomalies in Topological Dirac Semimetals
- The holographic Weyl semi-metal
- Quantum phase transition between a topological and a trivial semimetal from holography
- Atomic-scale visualization of quasiparticle interference on a type-II Weyl semimetal surface
- Lorentz violation in Dirac and Weyl semimetals
- Dirac semimetals (=Na,K,Rb) as Weyl semimetals
- Observation of a singular Weyl point surrounded by charged nodal walls in PtGa
- Topological nodal line semimetals in holography
- Probing topological superconductors with emergent gravity
- Topological invariants for holographic semimetals
- Surface Fermi arcs in Weyl semimetals (A=Na, K, Rb)
- Surface States in Holographic Weyl Semimetals
- Black hole interiors in holographic topological semimetals
- A Weyl- semimetal from holography
- An improved holographic nodal line semimetal
- Geometric description of the Kitaev honeycomb lattice model
- Topological phases of a Kitaev tie
- Chiral vortical conductivity across a topological phase transition from holography