Hi,

In principle you can use MATLAB to obtain the value of the volume contained by the Fermi Surface.

If you have data already on a regular grid, you can simply call the function "trapz" twice, once along the X dimension, and once along Y.

>

Here's an example. Let's first make some random x and y points.

xdata = [0; rand(100,1); 1];

ydata = [0; rand(100,1); 1];

x = sort(xdata);

y = sort(ydata);

For now, let's calculate our gridded sampled function. Then use trapz twice.

[X,Y] = meshgrid(x,y);

Z = X.^2.*sin(3*(X-Y));

trapz(y,trapz(x,Z,2),1)

ans =

0.13173

Best,

A.

Hello Binghai Yan ,

I know it's an Old post.

But are you able to get the volume of fermi surface??

Thanks