Nanophotonics, ISSN 2192-8606, 04/2019, Volume 8, Issue 8, pp. 1337 - 1347

The existence of topologically protected edge modes is often cited as a highly desirable trait of topological insulators. However, these edge states are not...

topological plasmonics | topological photonics | bulk-edge correspondence | STATES | PHYSICS, APPLIED | MATERIALS SCIENCE, MULTIDISCIPLINARY | NANOSCIENCE & NANOTECHNOLOGY | OPTICS | BERRYS PHASE | Nanoparticles | Phase diagrams | Broken symmetry | Breakdown | Chains | Insulators | Topology | Physics - Mesoscale and Nanoscale Physics

topological plasmonics | topological photonics | bulk-edge correspondence | STATES | PHYSICS, APPLIED | MATERIALS SCIENCE, MULTIDISCIPLINARY | NANOSCIENCE & NANOTECHNOLOGY | OPTICS | BERRYS PHASE | Nanoparticles | Phase diagrams | Broken symmetry | Breakdown | Chains | Insulators | Topology | Physics - Mesoscale and Nanoscale Physics

Journal Article

Reviews in Mathematical Physics, ISSN 0129-055X, 11/2017, Volume 29, Issue 10, p. 1750033

We show that the bulk-edge correspondence for two-dimensional type A and type A I I topological insulators follows directly from the cobordism invariance of...

topological insulators | K -theory and index theory | Bulk-edge correspondence | TOPOLOGICAL QUANTUM-SYSTEMS | STATES | BUNDLES | QUANTIZED HALL CONDUCTANCE | K-THEORY | CLASSIFICATION | K-theory and index theory | PHYSICS, MATHEMATICAL | PERIODICITY

topological insulators | K -theory and index theory | Bulk-edge correspondence | TOPOLOGICAL QUANTUM-SYSTEMS | STATES | BUNDLES | QUANTIZED HALL CONDUCTANCE | K-THEORY | CLASSIFICATION | K-theory and index theory | PHYSICS, MATHEMATICAL | PERIODICITY

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 4/2019, Volume 109, Issue 4, pp. 857 - 904

A 2-torsion topological phase exists for Hamiltonians symmetric under the wallpaper group with glide reflection symmetry, corresponding to the unorientable...

Geometry | 19L50 | Bulk-edge correspondence | Topological crystalline insulators | Theoretical, Mathematical and Computational Physics | Complex Systems | 47L80 | Twisted K -theory | 19K56 | Group Theory and Generalizations | Toeplitz index theorem | Physics | Twisted K-theory | STATES | FERMIONS | K-THEORY | PHYSICS, MATHEMATICAL

Geometry | 19L50 | Bulk-edge correspondence | Topological crystalline insulators | Theoretical, Mathematical and Computational Physics | Complex Systems | 47L80 | Twisted K -theory | 19K56 | Group Theory and Generalizations | Toeplitz index theorem | Physics | Twisted K-theory | STATES | FERMIONS | K-THEORY | PHYSICS, MATHEMATICAL

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 9/2015, Volume 105, Issue 9, pp. 1253 - 1273

We prove the bulk-edge correspondence in K-theory for the quantum Hall effect by constructing an unbounded Kasparov module from a short exact sequence that...

Geometry | Secondary 19K35 | Bulk-edge correspondence | Primary 81V70 | Theoretical, Mathematical and Computational Physics | quantum Hall effect | Group Theory and Generalizations | KK -theory | Statistical Physics, Dynamical Systems and Complexity | Physics | spectral triples | KK-theory | ALGEBRAS | MODULES | NONCOMMUTATIVE GEOMETRY | PRODUCT | EQUALITY | PHYSICS, MATHEMATICAL | OPERATORS | Algebra

Geometry | Secondary 19K35 | Bulk-edge correspondence | Primary 81V70 | Theoretical, Mathematical and Computational Physics | quantum Hall effect | Group Theory and Generalizations | KK -theory | Statistical Physics, Dynamical Systems and Complexity | Physics | spectral triples | KK-theory | ALGEBRAS | MODULES | NONCOMMUTATIVE GEOMETRY | PRODUCT | EQUALITY | PHYSICS, MATHEMATICAL | OPERATORS | Algebra

Journal Article

J Phys Soc Jpn, ISSN 0031-9015, 11/2012, Volume 81, Issue 11, pp. 114602 - 114602-7

We explore the bulk-edge correspondence for topological insulators (superconductors) without time-reversal symmetry from the viewpoint of the index theorem for...

Bulk-edge correspondence | Topological insulators | Spectral asymmetry | Spectral flow | Chern number | Index theorem | STATES | topological insulators | index theorem | QUANTIZED HALL CONDUCTANCE | PHYSICS, MULTIDISCIPLINARY | ANOMALIES | spectral asymmetry | bulk-edge correspondence | INSULATORS | DIMENSIONS | spectral flow | SUPERCONDUCTORS | Physics - Mesoscale and Nanoscale Physics

Bulk-edge correspondence | Topological insulators | Spectral asymmetry | Spectral flow | Chern number | Index theorem | STATES | topological insulators | index theorem | QUANTIZED HALL CONDUCTANCE | PHYSICS, MULTIDISCIPLINARY | ANOMALIES | spectral asymmetry | bulk-edge correspondence | INSULATORS | DIMENSIONS | spectral flow | SUPERCONDUCTORS | Physics - Mesoscale and Nanoscale Physics

Journal Article

Solid State Communications, ISSN 0038-1098, 2009, Volume 149, Issue 27, pp. 1061 - 1067

There are two types of edge states in graphene with/without magnetic field. One is a quantum Hall edge state, which is topologically protected against small...

D. Bulk-edge correspondence | D. Berry phases | A. Graphene | D. Edge states | BREAKING | PHYSICS, CONDENSED MATTER | Bulk-edge correspondence | QUANTIZED HALL CONDUCTANCE | GROUND-STATE | TOPOLOGICAL ASPECTS | Edge states | Berry phases | Graphene | SURFACE | SUPERCONDUCTORS | CHERN NUMBERS | 2 DIMENSIONS | Magnetic fields | Analysis | Graphite

D. Bulk-edge correspondence | D. Berry phases | A. Graphene | D. Edge states | BREAKING | PHYSICS, CONDENSED MATTER | Bulk-edge correspondence | QUANTIZED HALL CONDUCTANCE | GROUND-STATE | TOPOLOGICAL ASPECTS | Edge states | Berry phases | Graphene | SURFACE | SUPERCONDUCTORS | CHERN NUMBERS | 2 DIMENSIONS | Magnetic fields | Analysis | Graphite

Journal Article

CHINESE PHYSICS B, ISSN 1674-1056, 04/2020, Volume 29, Issue 4, p. 47301

Floquet engineering appears as a new protocol for designing topological states of matter, and features anomalous edge modes pinned at quasi-energy pi/T with...

bulk-edge correspondence | Floquet energineering | PHYSICS, MULTIDISCIPLINARY | Zak phase

bulk-edge correspondence | Floquet energineering | PHYSICS, MULTIDISCIPLINARY | Zak phase

Journal Article

New Journal of Physics, ISSN 1367-2630, 10/2014, Volume 16, Issue 11, pp. 115004 - 13

Phosphorene, a honeycomb structure of black phosphorus, was isolated recently. The band structure is highly anisotropic, where the k(x) direction is Dirac-like...

topological insulator | bulk-edge correspondence | black phosphorus | topology | phosphorene | TRANSPORT | PHYSICS, MULTIDISCIPLINARY | DICHROISM | Resistance | Phosphorene | Semiconductor devices | Graphene | Field effect transistors | Two dimensional materials | Topology | Honeycomb structures | Electric fields | Origins | Band structure of solids | Flats | Conductance | Detaching

topological insulator | bulk-edge correspondence | black phosphorus | topology | phosphorene | TRANSPORT | PHYSICS, MULTIDISCIPLINARY | DICHROISM | Resistance | Phosphorene | Semiconductor devices | Graphene | Field effect transistors | Two dimensional materials | Topology | Honeycomb structures | Electric fields | Origins | Band structure of solids | Flats | Conductance | Detaching

Journal Article

J Phys Soc Jpn, ISSN 0031-9015, 1/2012, Volume 81, Issue 1, pp. 011013 - 011013-34

Superconductivity is a phenomenon where the macroscopic quantum coherence appears due to the pairing of electrons. This offers a fascinating arena to study the...

Odd-frequency pairing | Topological | Bulk-edge correspondence | Andreev bound state | Majorana fermion | SPIN-TRIPLET SUPERCONDUCTIVITY | D-WAVE SUPERCONDUCTORS | QUANTIZED HALL CONDUCTANCE | PHYSICS, MULTIDISCIPLINARY | NON-ABELIAN STATISTICS | QUASI-PARTICLE | odd-frequency pairing | topological index | ANDREEV BOUND-STATES | bulk-edge correspondence | VORTEX CORE | TUNNELING SPECTROSCOPY | FERMION ZERO MODES | DENSITY-OF-STATES | Physics - Superconductivity

Odd-frequency pairing | Topological | Bulk-edge correspondence | Andreev bound state | Majorana fermion | SPIN-TRIPLET SUPERCONDUCTIVITY | D-WAVE SUPERCONDUCTORS | QUANTIZED HALL CONDUCTANCE | PHYSICS, MULTIDISCIPLINARY | NON-ABELIAN STATISTICS | QUASI-PARTICLE | odd-frequency pairing | topological index | ANDREEV BOUND-STATES | bulk-edge correspondence | VORTEX CORE | TUNNELING SPECTROSCOPY | FERMION ZERO MODES | DENSITY-OF-STATES | Physics - Superconductivity

Journal Article

Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 11/2014, Volume 90, Issue 19

Recent years have seen a strong interest in topological effects within periodically driven systems. In this work, we explore topological effects in two closely...

LOCALIZATION | INSULATORS | PHYSICS, CONDENSED MATTER | STATES | MAGNETIC-FIELDS | DIRAC FERMIONS | GRAPHENE | DYNAMICS | TRANSITIONS | LATTICE | BULK-EDGE CORRESPONDENCE

LOCALIZATION | INSULATORS | PHYSICS, CONDENSED MATTER | STATES | MAGNETIC-FIELDS | DIRAC FERMIONS | GRAPHENE | DYNAMICS | TRANSITIONS | LATTICE | BULK-EDGE CORRESPONDENCE

Journal Article

New Journal of Physics, ISSN 1367-2630, 07/2018, Volume 20, Issue 7

Journal Article

Journal of Physics Condensed Matter, ISSN 0953-8984, 09/2018, Volume 30, Issue 39, p. 395602

We compute the topological phase diagram of 2D tetragonal superconductors for the only possible nodeless pairing channels compatible with that crystal...

bulk-edge correspondence | edge states | topological phases of matter | topological superconductors | CONDUCTANCE | PHYSICS, CONDENSED MATTER | STATES | HALL | MAJORANA FERMIONS | MODEL

bulk-edge correspondence | edge states | topological phases of matter | topological superconductors | CONDUCTANCE | PHYSICS, CONDENSED MATTER | STATES | HALL | MAJORANA FERMIONS | MODEL

Journal Article

New Journal of Physics, ISSN 1367-2630, 10/2016, Volume 18, Issue 10, p. 103029

In this paper, we investigate the band properties of 2D honeycomb plasmonic lattices consisting of metallic nanoparticles. By means of the coupled dipole...

honeycomb plasmonic lattice | bulk-edge correspondence | winding number | Zak phase | edge state | vector wave | PHYSICS, MULTIDISCIPLINARY | BERRYS PHASE | MAJORANA | DIRAC | MODES | REALIZATION | CHAINS | Nanoparticles | Ribbons | Dipoles | Graphene | Lattices | Polaritons | Topology | Lattice vibration | Tapes (metallic)

honeycomb plasmonic lattice | bulk-edge correspondence | winding number | Zak phase | edge state | vector wave | PHYSICS, MULTIDISCIPLINARY | BERRYS PHASE | MAJORANA | DIRAC | MODES | REALIZATION | CHAINS | Nanoparticles | Ribbons | Dipoles | Graphene | Lattices | Polaritons | Topology | Lattice vibration | Tapes (metallic)

Journal Article

Physical Review B - Condensed Matter and Materials Physics, ISSN 1098-0121, 02/2015, Volume 91, Issue 8

An anomalously sharp (delta-function-like) n = 0 Landau level in the presence of disorder is usually considered to be a manifestation of the massless Dirac...

TRANSITION | PHYSICS, CONDENSED MATTER | TOPOLOGICAL INSULATORS | SYMMETRY | SUPERSYMMETRY | GRAPHENE | MAGNETIC-FIELD | ORGANIC CONDUCTOR | LATTICE | CHARGE | BULK-EDGE CORRESPONDENCE

TRANSITION | PHYSICS, CONDENSED MATTER | TOPOLOGICAL INSULATORS | SYMMETRY | SUPERSYMMETRY | GRAPHENE | MAGNETIC-FIELD | ORGANIC CONDUCTOR | LATTICE | CHARGE | BULK-EDGE CORRESPONDENCE

Journal Article

NEW JOURNAL OF PHYSICS, ISSN 1367-2630, 07/2018, Volume 20, Issue 7

After the classification of topological states of matter has been clarified for non-interacting electron systems, the theoretical connection between gapless...

chiral edge mode | DIRAC FERMIONS | PHYSICS, MULTIDISCIPLINARY | dimensional hierarchy | QUANTUM | HETEROSTRUCTURES | GRAPHENE | transient thermoelectric voltages | topological insulator | bulk-edge correspondence | TRANSPORT | CRYSTALS | FEMTOSECOND | SURFACE-STATE | Bi1-xSbx alloy | Resistance | Time dependence | Chirality | Insulators | Quantum Hall effect | Topology | Magnetic fields | Physics - Strongly Correlated Electrons

chiral edge mode | DIRAC FERMIONS | PHYSICS, MULTIDISCIPLINARY | dimensional hierarchy | QUANTUM | HETEROSTRUCTURES | GRAPHENE | transient thermoelectric voltages | topological insulator | bulk-edge correspondence | TRANSPORT | CRYSTALS | FEMTOSECOND | SURFACE-STATE | Bi1-xSbx alloy | Resistance | Time dependence | Chirality | Insulators | Quantum Hall effect | Topology | Magnetic fields | Physics - Strongly Correlated Electrons

Journal Article

Letters in Mathematical Physics, ISSN 0377-9017, 10/2019, Volume 109, Issue 10, pp. 2223 - 2254

We consider Toeplitz operators defined on a concave corner-shaped subset of the square lattice. We obtain a necessary and sufficient condition for these...

Geometry | 81V99 | K -theory and index theory | Topologically protected corner states | Theoretical, Mathematical and Computational Physics | Complex Systems | 47B35 | 19K56 | Group Theory and Generalizations | Toeplitz operators on concave corners | Bulk-edge and corner correspondence | Physics | K-THEORY | K-theory and index theory | PHYSICS, MATHEMATICAL | EDGE

Geometry | 81V99 | K -theory and index theory | Topologically protected corner states | Theoretical, Mathematical and Computational Physics | Complex Systems | 47B35 | 19K56 | Group Theory and Generalizations | Toeplitz operators on concave corners | Bulk-edge and corner correspondence | Physics | K-THEORY | K-theory and index theory | PHYSICS, MATHEMATICAL | EDGE

Journal Article

Physical Review Letters, ISSN 0031-9007, 10/2009, Volume 103, Issue 15, p. 156804

We investigate how the criticality of the quantum Hall plateau transition in disordered graphene differs from those in the ordinary quantum Hall systems, based...

CONDUCTANCE | SYSTEM | WAVE-FUNCTIONS | STATES | SYMMETRY | DIRAC FERMIONS | MAGNETIC-FIELDS | PHYSICS, MULTIDISCIPLINARY | BULK-EDGE CORRESPONDENCE | TOPOLOGICAL INVARIANT | CHERN NUMBERS

CONDUCTANCE | SYSTEM | WAVE-FUNCTIONS | STATES | SYMMETRY | DIRAC FERMIONS | MAGNETIC-FIELDS | PHYSICS, MULTIDISCIPLINARY | BULK-EDGE CORRESPONDENCE | TOPOLOGICAL INVARIANT | CHERN NUMBERS

Journal Article

Journal of Statistical Physics, ISSN 0022-4715, 8/2014, Volume 156, Issue 3, pp. 417 - 426

We rely on a recent method for determining edge spectra and we use it to compute the Chern numbers for Hofstadter models on the honeycomb lattice having...

Bulk-edge correspondence | Physical Chemistry | Graphene | Integer quantum Hall effect | Theoretical, Mathematical and Computational Physics | Chern number | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Physics | BLOCH ELECTRONS | QUANTIZED HALL CONDUCTANCE | PHYSICS, MATHEMATICAL | EDGE STATES

Bulk-edge correspondence | Physical Chemistry | Graphene | Integer quantum Hall effect | Theoretical, Mathematical and Computational Physics | Chern number | Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Physics | BLOCH ELECTRONS | QUANTIZED HALL CONDUCTANCE | PHYSICS, MATHEMATICAL | EDGE STATES

Journal Article