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pmm_tools.models.chains

Parameterized interacting spinless and spinful chain Hamiltonians.

Functions

NameDescription
dot_abs_chainReturn (Hamiltonian, fermions, parameters) for a spinful dot/ABS chain.
interacting_kitaev_chainReturn (Hamiltonian, fermions, parameters) for an interacting Kitaev chain.

dot_abs_chainfunction#

def dot_abs_chain(length, params=None)

Return (Hamiltonian, fermions, parameters) for a spinful dot/ABS chain.

params supplies mu, E_z, Delta, t_n, t_so and U using the policies of prepare_parameters. Returned tuples follow site/bond order; modes are (site0 up, site0 down, site1 up, ...). Onsite energies are mu +/- E_z, pairing Delta may be complex, and U couples opposite spins on each site. Adjacent sites have spin-preserving t_n and spin-flip t_so hopping. All energies share a caller-chosen unit; the full Fock space is retained.

interacting_kitaev_chainfunction#

def interacting_kitaev_chain(length, params=None)

Return (Hamiltonian, fermions, parameters) for an interacting Kitaev chain.

params supplies mu, t, Delta and nearest-neighbor U using the scalar, sequence or symbolic policies of prepare_parameters. Returned parameter values are tuples in site/bond order. Modes are c_0,...,c_(length-1). The Hamiltonian contains +mu*n, hopping t, pair creation Delta and U*n*n_next, with Hermitian conjugates for hopping and pairing. All energies use the same caller-chosen unit; no Hilbert-space projection is made.