scholarly journals Classification of flat bands according to the band-crossing singularity of Bloch wave functions

2019 ◽  
Vol 99 (4) ◽  
Author(s):  
Jun-Won Rhim ◽  
Bohm-Jung Yang
Keyword(s):  
Bloch Wave ◽  
Wave Functions ◽  
Flat Bands ◽  
Band Crossing

scholarly journals Wavefront dislocations reveal the topology of quasi-1D photonic insulators

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
Clément Dutreix ◽  
Matthieu Bellec ◽  
Pierre Delplace ◽  
Fabrice Mortessagne
Keyword(s):  
Local Density ◽  
Topological Defects ◽  
Wave Functions ◽  
Topological Classification ◽  
Local Density Of States ◽  
Topological Phase Transition ◽  
Interference Fringes ◽  
Classical Wave ◽  
Phase Singularities

AbstractPhase singularities appear ubiquitously in wavefields, regardless of the wave equation. Such topological defects can lead to wavefront dislocations, as observed in a humongous number of classical wave experiments. Phase singularities of wave functions are also at the heart of the topological classification of the gapped phases of matter. Despite identical singular features, topological insulators and topological defects in waves remain two distinct fields. Realising 1D microwave insulators, we experimentally observe a wavefront dislocation – a 2D phase singularity – in the local density of states when the systems undergo a topological phase transition. We show theoretically that the change in the number of interference fringes at the transition reveals the topological index that characterises the band topology in the insulator.

Orthogonal Classification of Alpha-Particle Wave Functions

1967 ◽  
Vol 158 (4) ◽  
pp. 907-916 ◽  
Author(s):  
John E. Beam
Keyword(s):  
Alpha Particle ◽  
Wave Functions

One-dimensional overlap functions and their application to Auger recombination in semiconductors

1960 ◽  
Vol 258 (1295) ◽  
pp. 486-495 ◽  
Keyword(s):  
Auger Recombination ◽  
Elevated Temperatures ◽  
Bloch Wave ◽  
Wave Functions ◽  
General Analysis ◽  
Experimental Results ◽  
Overlap Integrals ◽  
Recombination Mechanism ◽  
One Dimensional ◽  
Good Agreement

The theoretical lifetime of excess carriers in semiconductors limited only by the Auger recombination mechanism previously discussed by the present authors, depends on a temperature-independent parameter. This involves certain overlap integrals. They are of the form ∫ u *(k 1 , r) u (k 2 , r) dr, where the u ’s are the modulating parts of Bloch wave functions. The integrals are calculated in this paper on the basis of a Kronig-Penney model. The value of the parameter obtained is shown to be rather insensitive to many details of the model used. When the value found is inserted into the previously published theory of lifetimes in InSb, very good agreement is obtained with the more detailed experimental results which have recently become available. This strongly suggests that the dominant recombination mechanism in InSb at elevated temperatures has been identified. A more general analysis of the properties of the overlap integrals is also given in this paper.

scholarly journals Classification of nodal pockets in many-electron wave functions via machine learning

2012 ◽  
Vol 50 (7) ◽  
pp. 2043-2050 ◽  
Author(s):  
Erin LeDell ◽  
Prabhat ◽  
Dmitry Yu. Zubarev ◽  
Brian Austin ◽  
William A. Lester
Keyword(s):  
Machine Learning ◽  
Wave Functions ◽  
Electron Wave

scholarly journals General construction and topological classification of crystalline flat bands

2021 ◽  
Author(s):  
Dumitru Călugăru ◽  
Aaron Chew ◽  
Luis Elcoro ◽  
Yuanfeng Xu ◽  
Nicolas Regnault ◽  
...  
Keyword(s):  
Topological Classification ◽  
General Construction ◽  
Flat Bands

Orthogonal Classification of Alpha-Particle Wave Functions

1967 ◽  
Vol 164 (4) ◽  
pp. 1566-1566 ◽  
Author(s):  
John E. Beam
Keyword(s):  
Alpha Particle ◽  
Wave Functions

Classification of triton wave functions

1958 ◽  
Vol 8 ◽  
pp. 310-324 ◽  
Author(s):  
G. Derrick ◽  
J.M. Blatt
Keyword(s):  
Wave Functions

High-lying doubly excited states of He and H−: electron correlations and classification schemes

Open Physics ◽  
2005 ◽  
Vol 3 (3) ◽  
Author(s):  
Spyros Themelis
Keyword(s):  
Excited States ◽  
Wave Functions ◽  
Electron Correlations ◽  
Classification Schemes ◽  
Doubly Excited States ◽  
Quantum Numbers ◽  
Doubly Excited

AbstractHigh-lying doubly excited states of He and H− are studied and energies and intrinsic characteristics of their wave-functions are reported. Results for energies of 3Po and 1D doubly excited states associated with the hydrogenic thresholds up to N = 20 are presented and compared to available data from the literature. The classification of these doubly excited states by approximate quantum numbers is reexamined.

Sign in / Sign up

Export Citation Format

Share Document