.. _SIAM_QSZ: SIAM (QSZ) ========== This is the single-impurity single-orbital Anderson model with conserved total charge (Q) and z-component of total spin (Sz) quantum numbers. Hamiltonian ----------- .. math:: H_\mathrm{imp} = \epsilon_1 n + U_1 n_\uparrow n_\downarrow + B_1 S_z with .. math:: S_z = \frac{1}{2} \left( n_\uparrow - n_\downarrow \right) Parameters ---------- - :math:`\epsilon_1`, ``eps1``, energy level - :math:`U_1`, ``U1``, electron-electron interaction - :math:`B_1`, ``B1``, magnetic field (Zeeman splitting) Expectation values ------------------ - :math:`\langle n \rangle`, ``n_d``, impurity occupancy - :math:`\langle n^2 \rangle`, ``n_d^2``, impurity occupancy squared - :math:`\langle \sum_\sigma d^\dagger_\sigma f_{0\sigma} + \text{h.c.} \rangle`, ``hop0``, hopping between the impurity and the zero-th site of the Wilson chain - :math:`\langle S_z \rangle`, ``SZd``, spin polarization (magnetization) Structure of Green's functions ------------------------------ Two blocks, ``up`` and ``dn``, scalar-valued (1x1 matrix) Dynamic susceptibilities ------------------------ Dynamic spin and charge susceptibilities are calculated.