Surface states in topological semimetal slab geometries

Abstract

Weyl semimetals are topological materials with protected Weyl nodes in the band structure. In these materials the surface states form open curves at the Fermi surface, Fermi arcs in Weyl semimetals and drumhead states of nodal-line semimetals. In this work we solve analitically the wave function of the surface states in a generic continuous model describing Weyl and nodal-line type I-II semimetals within a slab geometry. Depending on the values of the parameters, different types of Fermi arcs and drumhead states appear. When the mass terms are dominant with respect to the Fermi velocity in the Hamiltonian the decay of the surface states become oscillatory. This property has important consequences in the stability of surface states in a slab geometry This exact solution can be used for a better understanding of the behaviour of Fermi Arcs in real materials and their influence in transport and optical properties. We use these solutions to study the Joint Density of States at the surface which can be used to interpret quasi-particle interference data in scanning tunnneling microscope experiments. We show that oscillatory decay can be distinguish from simple exponential decay of the surface states in these experiments.

arXiv comment21 pages, 14 figures

References in corpus (33)

• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs
• Type-II Weyl Semimetals
• Weyl Semimetal in a Topological Insulator Multilayer
• Dirac semimetal and topological phase transitions in A3Bi (A=Na, K, Rb)
• Experimental discovery of Weyl semimetal TaAs
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Ultrahigh mobility and giant magnetoresistance in the Dirac semimetal Cd${}_3$As${}_2$
• Phase transition between the quantum spin Hall and insulator phases in 3D: emergence of a topological gapless phase
• Extremely large magnetoresistance and ultrahigh mobility in the topological Weyl semimetal NbP
• Observation of Weyl nodes in TaAs
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Discovery of a Weyl Fermion semimetal state in NbAs
• Quantum Hall effects in a Weyl Semi-Metal: possible application in pyrochlore Iridates
• Topological nodal line semimetals
• Topological Semimetals
• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Chiral anomaly from strain-induced gauge fields in Dirac and Weyl semimetals
• Quasiparticle interference of the Fermi arcs and surface-bulk connectivity of a Weyl semimetal
• Observation of the quantum Hall effect in confined films of the three-dimensional Dirac semimetal Cd3As2
• Visualizing "Fermi arcs" in the Weyl semimetal TaAs
• Surface and 3D quantum Hall effects from engineering of exceptional points in nodal-line semimetals
• Signatures of Dirac fermion-mediated magnetic order
• Topological protection from exceptional points in Weyl and nodal line semimetals
• Atomic-scale visualization of quasiparticle interference on a type-II Weyl semimetal surface
• Universal signatures of Fermi arcs in quasiparticle interference on the surface of Weyl semimetals
• Quasiparticle interference on type-I and type-II Weyl semimetal surfaces: a review
• Tuning the Fermi velocity in Dirac materials with an electric field
• Dirac semimetals $A_{3}Bi$ ($A$=Na,K,Rb) as $Z_2$ Weyl semimetals
• Signatures of Weyl semimetals in quasiparticle interference
• Macroscopic degeneracy of zero-mode rotating surface states in 3D Dirac and Weyl semimetals under radiation
• Surface Fermi arcs in $Z_2$ Weyl semimetals $A_{3}Bi$ (A=Na, K, Rb)
• Spiraling Fermi arcs in Weyl materials

Cited by in corpus (10)

• Intrinsic surface superconducting instability in Type-I Weyl Semimetals
• Fermi arcs and DC transport in nanowires of Dirac and Weyl semimetals
• Electric field manipulation of surface states in topological semimetals
• Surface Luttinger arcs in Weyl semimetals
• Self-consistent surface superconductivity in time-reversal symmetric Weyl semimetals
• Anomalous Surface Conductivity of Weyl Semimetals
• Surface quantum critical phenomena in disordered Dirac semimetals
• Rashba coupling and spin switching through surface states of Dirac semimetals
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Surface states and finite size effects in triple-fold semimetals