scholarly journals Determination of topological properties of thin samples by the van der Pauw method

Measurement ◽  
2019 ◽  
Vol 145 ◽  
pp. 568-572 ◽  
Author(s):  
Krzysztof R. Szymański ◽  
Cezary J. Walczyk ◽  
Jan L. Cieśliński
Keyword(s):  
Topological Properties ◽  
Van Der Pauw ◽  
Thin Samples ◽  
Van Der Pauw Method

scholarly journals Determination of the Riemann modulus and sheet resistivity by a six-point generalization of the van der Pauw method

2015 ◽  
Vol 26 (8) ◽  
pp. 085012 ◽  
Author(s):  
Krzysztof Szymański ◽  
Kamil Łapiński ◽  
Jan L Cieśliński ◽  
Artur Kobus ◽  
Piotr Zaleski ◽  
...  
Keyword(s):  
Sheet Resistivity ◽  
Van Der Pauw ◽  
Van Der Pauw Method

scholarly journals The Extension of the Van Der Pauw Method to Anisotropic Media

Informatica ◽  
2007 ◽  
Vol 18 (2) ◽  
pp. 253-266 ◽  
Author(s):  
Jonas Kleiza ◽  
Mifodijus Sapagovas ◽  
Vytautas Kleiza
Keyword(s):  
Anisotropic Media ◽  
Van Der Pauw ◽  
Van Der Pauw Method

scholarly journals The Prime Function, the Fay Trisecant Identity, and the van der Pauw Method

2021 ◽  
Author(s):  
Hiroyuki Miyoshi ◽  
Darren Crowdy ◽  
Rhodri Nelson
Keyword(s):  
Applied Sciences ◽  
Science Literature ◽  
Multiply Connected ◽  
Schottky Double ◽  
Van Der Pauw ◽  
Simply Connected ◽  
Genus One ◽  
Physical Quantities ◽  
Prime Function ◽  
Van Der Pauw Method

AbstractThe van der Pauw method is a well-known experimental technique in the applied sciences for measuring physical quantities such as the electrical conductivity or the Hall coefficient of a given sample. Its popularity is attributable to its flexibility: the same method works for planar samples of any shape provided they are simply connected. Mathematically, the method is based on the cross-ratio identity. Much recent work has been done by applied scientists attempting to extend the van der Pauw method to samples with holes (“holey samples”). In this article we show the relevance of two new function theoretic ingredients to this area of application: the prime function associated with the Schottky double of a multiply connected planar domain and the Fay trisecant identity involving that prime function. We focus here on the single-hole (doubly connected, or genus one) case. Using these new theoretical ingredients we are able to prove several mathematical conjectures put forward in the applied science literature.

scholarly journals The topological properties of QCD at high temperature: problems and perspectives

2018 ◽  
Vol 175 ◽  
pp. 01011 ◽  
Author(s):  
Claudio Bonati
Keyword(s):  
High Temperature ◽  
Difficult Problem ◽  
High Temperature Phase ◽  
Temperature Phase ◽  
First Principle ◽  
Numerical Determination ◽  
Topological Properties

Lattice computations are the only first principle method capable of quantitatively assessing the topological properties of QCD at high temperature, however the numerical determination of the topological properties of QCD, especially in the high temperature phase, is a notoriously difficult problem. We will discuss the difficulties encountered in such a computation and some strategies that have been proposed to avoid (or at least to alleviate) them.

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