non-interacting-2DEG
Numerically calculate quantities such as specific heat and conductance from a density of states
In recent years, there have been a number of proposed experiments that would use measurements of the entropy in the 5/2 FQH state to detect whether it is non-Abelian or not. Those proposals are laid out in the following papers:
http://dx.doi.org/10.1103/PhysRevB.79.115317 (Thermopower)
http://dx.doi.org/10.1103/PhysRevLett.102.176807 (dS/dN via Maxwell relations)
http://dx.doi.org/10.1103/10.1103/PhysRevLett.105.086801 (Adiabatic cooling)
http://dx.doi.org/10.1103/10.1103/10.1103/PhysRevB.85.195107 (Thermopower in Corbino)
In my lab work, I have focused on measurement of specific heat as an additional means to probe the entropy of the 2DEG. Preliminary results are at https://arxiv.org/abs/1605.02344. Any of these measurements must be validated, and are also of fundamental interest, away from the FQHE in the IQHE and SdH regimes. As part of my thesis, I explore the relative merits of these different "entropy probes", and this code gathers together the various calculations into a single framework. The general idea is to
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Calculate a reasonable guess for the density of states (broadening and its field dependence, gaussian, Lorentzian or semi-elliptical)
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Validate the DOS by using it to calculate electrical conductance and comparing that to experiment
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Use the same DOS to calculate other quantities such as the specific heat (others to be added in this code later)
Other highly relevant references are:
http://dx.doi.org/10.1038/ncomms8298 (dS/dN at higher temperatures)
http://dx.doi.org/10.7566/JPSJ.82.053702 (Measurement of thermopower in Corbino)
http://dx.doi.org/10.1103/PhysRevB.87.075302 and references therein (Measurement of thermopower at 5/2)
http://dx.doi.org/10.1103/PhysRevB.80.045310 (Spectral diffusion)