genFermiHubbardSpinChargeParity()

MPS::Lattice syten::MPS::Lat::SU2U1Z::genFermiHubbardSpinChargeParity	(	Index const	length = 1,
		std::vector< Index >	types = std::vector<Index>()
	)

Generates a lattice for a 2-band Fermi-Hubbard model +DCA.

Symmetries are \({\mathbb{Z}_2} \) for parity of band 1, \({\mathbb{Z}_2} \) for parity of band 2 \({\mathbb{Z}_L\times\mathbb{Z}_L} \) for 2d-momentum of band, \( \mathrm{U}(1) \) for charge/particle conservation and \( \mathrm{SU}(2) \) for total spin.

Parameters

number	of DCA sites and therefore number of momenta
types	the type of each site. i significies the momentum of the site and the band it belongs to. The grouping is:

momentum 1 band 1 momentum 1 band 2

momentum 2 band 1 momentum 2 band 2

...

Remarks

Prefactors \( \sqrt{2} \) are inspired by Weichselbaum, Annals of Physics 327 (2012), 2972-3047, pg. 3038 Table C.1.

For a detailed discussion of the need for parity operators, see the documentation for the \( U(1) \times U(1) \) symmetry Fermi-Hubbard model.

Implemented Single-Site Operators ch and c create

and annihilate a single particle, n measures the particle number on the site.

Referenced by syten::Pyten::init_mp_latgen().

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