kwant.continuum.to_landau_basis

kwant.continuum.to_landau_basis#

kwant.continuum.to_landau_basis(hamiltonian, momenta=None)[source]#

Replace two momenta by Landau level ladder operators.

Replaces:

k_0 -> sqrt(B/2) * (a + a^dagger) k_1 -> 1j * sqrt(B/2) * (a - a^dagger)

Parameters:

  • hamiltonian (str or sympy expression) – The Hamiltonian to which to apply the Landau level transformation.

  • momenta (sequence of str (optional)) – The momenta to replace with Landau level ladder operators. If not provided, ‘k_x’ and ‘k_y’ are used

Returns:

  • hamiltonian (sympy expression)

  • momenta (sequence of sympy atoms) – The momentum operators that have been replaced by ladder operators.

  • normal_coordinate (sympy atom) – The remaining position coordinate. May or may not be present in ‘hamiltonian’.

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