Re: [Kwant] [KWANT] Diagonalization of hamiltonian
Thank you so much for your time. I will try it. Naveen Department of Physics & Astrophysics University of Delhi New Delhi-110007 On Mon, Apr 29, 2019, 16:32 Joseph Weston wrote: > > > > > I have build the system(discretized in x and y direction). The actual > > problem is that, " How to add magnetic field term(as given by the > > auther l_m = 4.5) to this system?" These bands are in presence of > > magnetic field. > > > Well you'll have to look in the paper to answer that question; you're in > a better position to answer that than me. Maybe a Peierls phase? > > >
Re: [Kwant] [KWANT] Diagonalization of hamiltonian
> > I have build the system(discretized in x and y direction). The actual > problem is that, " How to add magnetic field term(as given by the > auther l_m = 4.5) to this system?" These bands are in presence of > magnetic field. Well you'll have to look in the paper to answer that question; you're in a better position to answer that than me. Maybe a Peierls phase? signature.asc Description: OpenPGP digital signature
Re: [Kwant] [KWANT] Diagonalization of hamiltonian
Hi, > I want to diagonalize the model hamiltonian containing sine and cosine > functions with momentum operators as their argument. > > H(k) = tx*σx* sin kx + ty*σy*sin ky + mk*σz + λ*σ0 *sin kz, > > mk = tz(cos β − cos kz) + t'(2 − cos kx − cos ky) If you just want to diagonalize a 2x2 H(k) then you don't even need Kwant; you can just make a function that gives you H(k) given a k vector, and then diagonalize the result using scipy.linalg.eigs. > Then I want to plot the energy dispersion as a function of kz in the > presence of perpendicular magnetic field. Here perpendicular direction > is x. Does the model already contain the terms for a magnetic field in the x direction? The answer will depend on what effects you are taking into account: do you want the orbital component, or just the action on the spin degree of freedom? The answer will depend on what you are trying to model, and this is a question that you will need to answer for yourself. Happy Kwanting, Joe signature.asc Description: OpenPGP digital signature
