Correlation and transport phenomena in topological nodal-loop semimetals

Abstract

We study the unique physical properties of topological nodal-loop semimetals protected by the coexistence of time-reversal and inversion symmetries with negligible spin-orbit coupling. We argue that strong correlation effects occur at the surface of such systems for relatively small Hubbard interaction $U$, due to the narrow bandwidth of the "drumhead" surface states. In the Hartree-Fock approximation, at small $U$ we obtain a surface ferromagnetic phase through a continuous quantum phase transition characterized by the surface-mode divergence of the spin susceptibility, while the bulk states remain very robust against local interactions and remain non-ordered. At slightly increased interaction strength, the system quickly changes from a surface ferromagnetic phase to a surface charge-ordered phase through a first-order transition. When Rashba-type spin-orbit coupling is applied to the surface states, a canted ferromagnetic phase occurs at the surface for intermediate values of $U$. The quantum critical behavior of the surface ferromagnetic transition is nontrivial in the sense that the surface spin order parameter couple to Fermi-surface excitations from both surface and bulk states. This leads to unconventional Landau damping and consequently a naïve dynamical critical exponent $z\approx 1$ when the Fermi level is close to the bulk nodal energy. We also show that, already without interactions, quantum oscillations arise due to bulk states, despite the absence of a Fermi surface when the chemical potential is tuned to the energy of the nodal loop. The bulk magnetic susceptibility diverges logarithmically whenever the nodal loop exactly overlaps with a quantized magnetic orbit in the bulk Brillouin zone. These correlation and transport phenomena are unique signatures of nodal loop states.

arXiv comment8+7 pages, 7 figures, submitted to PRB

References in corpus (47)

• Topological Insulators
• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Electronic Structure of Pyrochlore Iridates: From Topological Dirac Metal to Mott Insulator
• Type-II Weyl Semimetals
• Discovery of a Three-dimensional Topological Dirac Semimetal, Na3Bi
• 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
• Topological nodal semimetals
• Three Dimensional Dirac Semimetal and Quantum Transports in Cd3As2
• Theoretical Discovery/Prediction: Weyl Semimetal states in the TaAs material (TaAs, NbAs, NbP, TaP) class
• Topological Crystalline Insulators in the SnTe Material Class
• Weyl semimetal phase in non-centrosymmetric transition metal monophosphides
• Observation of Weyl nodes in TaAs
• Topological Nodal Line Semimetal and Dirac Semimetal State in Antiperovskite Cu${}_3$PdN
• Dirac Cone Protected by Non-Symmorphic Symmetry and 3D Dirac Line Node in ZrSiS
• Topological Node-Line Semimetal in Three Dimensional Graphene Networks
• Recent developments in transport phenomena in Weyl semimetals
• Topological Superconductivity and Superfluidity
• Strong spin-orbit splitting on Bi surfaces
• Nodal-chain metals
• The Zak phase and the existence of edge states in graphene
• High-temperature surface superconductivity in topological flat-band systems
• Topological nodal-line fermions in ZrSiSe and ZrSiTe
• Quantum phase transitions of metals in two spatial dimensions: I. Ising-nematic order
• Observation of Topological Nodal Fermion Semimetal Phase in ZrSiS
• Topological semi-metals with line nodes and drumhead surface states
• Time-reversal invariant realization of the Weyl semimetal phase
• Low energy effective theory of Fermi surface coupled with U(1) gauge field in 2+1 dimensions
• Node-Surface and Node-Line Fermions From Nonsymmorphic Lattice Symmetries
• Discovery of Dirac Node Arcs in PtSn4
• Weyl semimetals from noncentrosymmetric topological insulators
• Topological nodal-line semimetals in alkaline-earth stannides, germanides and silicides
• Rashba Effect at Magnetic Metal Surfaces
• Wannier Center Sheets in Topological Insulators
• Topological Dirac Nodal Lines and Surface Charges in fcc Alkaline Earth Metals
• Dimensional crossover in topological matter: Evolution of the multiple Dirac point in the layered system to the flat band on the surface
• Topological Node-Line Semimetal in Compressed Black Phosphorus
• Universal phase diagrams for the quantum spin Hall systems
• Extremely large and significantly anisotropic magnetoresistance in ZrSiS single crystals
• High-temperature surface superconductivity in rhombohedral graphite
• Nexus and Dirac lines in topological materials
• Electronic Evidence for Type II Weyl Semimetal State in MoTe2
• Chemical potential asymmetry and quantum oscillations in insulators
• Charge-spin-orbital Fluctuations in Mixed Valence Spinels: Comparative Study of AlV2O4 and LiV2O4
• Collective amplitude mode fluctuations in a flat band superconductor

Cited by in corpus (54)

• Nodal-link semimetals
• Chemical Principles of Topological Semimetals
• Topological semimetals with double-helix nodal link
• Symmetry Demanded Topological Nodal-line Materials
• Unconventional mass enhancement around the Dirac nodal loop in ZrSiS
• Nonsymmorphic-symmetry-protected hourglass Dirac loop, nodal line, and Dirac point in bulk and monolayer $X_3$SiTe${}_6$ ($X=$ Ta, Nb)
• Hourglass Dirac Chain Metal in Rhenium Dioxide
• Topological crystalline superconductivity and second-order topological superconductivity in nodal-loop materials
• Optical Signatures of Dirac Nodal-lines in NbAs${}_2$
• Realistic Floquet semimetal with exotic topological linkages between arbitrarily many nodal loops
• Bulk and surface electronic structure of the dual-topology semimetal Pt2HgSe3
• Floquet multi-Weyl points in crossing-nodal-line semimetals
• Temperature-Induced Lifshitz Transition and Possible Excitonic Instability in ZrSiSe
• Transport and optics at the node in a nodal loop semimetal
• Topological Hourglass Dirac Semimetal in the Nonpolar Phase of Ag${}_2$BiO${}_3$
• Antiferromagnetic Topological Nodal Line Semimetals
• Almost ideal nodal-loop semimetal in monoclinic CuTeO${}_3$ material
• Generating quantum multi-criticality in topological insulators by periodic driving
• Edge superconductivity in Multilayer WTe2 Josephson junction
• Topological nodal line semimetals in holography
• Spin-triplet superconductivity in Weyl nodal-line semimetals
• Interplay between short-range correlated disorder and Coulomb interaction in nodal-line semimetals
• Topological and trivial magnetic oscillations in nodal loop semimetals
• Enhanced electron correlations in the new binary stannide PdSn4: a homologue of the Dirac nodal arc semimetal PtSn4
• Parity Anomaly in the non-linear response of Nodal-Line Semimetals
• Discovery of a weak topological insulating state and van Hove singularity in triclinic RhBi2
• Determination of the Fermi surface and field-induced quasi-particle tunneling around the Dirac nodal-loop in ZrSiS
• Interaction driven surface Chern insulator in nodal line semimetals
• Disorder driven multifractality transition in Weyl nodal loops
• Intrinsic bulk quantum oscillations in a bulk unconventional insulator SmB${}_6$
• Saddle-like topological surface states on the TT'X family of compounds (T, T' = Transition metal, X= Si, Ge)
• Effective Hamiltonian of Topological Nodal Line Semimetal in Single-Component Molecular Conductor [Pd(dddt)${}_2$] from First-Principles
• Double Andreev reflections and double normal reflections in nodal-line semimetal-superconductor junctions
• $f$-electron hybridised metallic Fermi surface in magnetic field-induced metallic YbB${}_{12}$
• Magnetic susceptibility of topological semimetals
• Thin Films of Topological Nodal Line Semimetals as a Candidate for Efficient Thermoelectric Converters
• Magneto-transport and Shubnikov-de Haas oscillations in the layered ternary telluride Ta3SiTe6 topological semimetal
• Nodal topological superconductivity in nodal-line semimetals
• Topological semimetallic phase in PbO${}_2$ promoted by temperature
• Unusual Frequency of Quantum Oscillations in Strongly Particle-Hole Asymmetric Insulators
• Electron-phonon interaction and zero-field charge carrier transport in the nodal-line semimetal ZrSiS
• Real spin and pseudospin topologies in the noncentrosymmetric topological nodal-line semimetal CaAgAs
• High-pressure lithium as an elemental topological semimetal
• $R$RuB${}_2$ ($R$=Y, Lu), topological superconductor candidates with hourglass-type Dirac ring
• Quantum Criticality of Excitonic Insulating Transition in Nodal Line Semimetal ZrSiS
• Superconductivity and a van Hove singularity confined to the surface of a topological semimetal
• Interaction-induced phase transitions of type-II Weyl semimetals
• Quasiparticle Properties under Interactions in Weyl and Nodal Line Semimetals
• Delocalization of topological surface states by diagonal disorder in nodal loop semimetals
• Ultrafast relaxation of acoustic and optical phonons in a topological nodal-line semimetal ZrSiS
• Repulsive Fermi gases in a two-dimensional lattice with non-Abelian gauge fields
• Fermi surface and light quasi particles in hourglass nodal chain metal \b{eta}-ReO2
• Quantum Oscillation and Landau-Zener transition in Untilted Nodal line semimetals under a time-periodic magnetic field
• Time dependent electric transport in nodal-loop semimetals