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CASINO manual - Theory of Condensed Matter

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-1 0 0 1<br />

1 1 1 1<br />

1 1 0 2<br />

1 0 1 2<br />

Parameter value ; Optimizable (0=NO; 1=YES)<br />

END P TERM<br />

START Q TERM<br />

Spin dep (0->u=d; 1->u/=d)<br />

0<br />

Number <strong>of</strong> primitive-cell G-vectors (NB, cannot have both G & -G)<br />

10<br />

G-vector (in terms <strong>of</strong> rec latt vects) ; label<br />

0 -1 1 -2<br />

-1 1 0 -2<br />

-1 0 1 -2<br />

1 1 1 -1<br />

-1 0 0 1<br />

0 0 -1 1<br />

0 -1 0 1<br />

1 1 2 2<br />

2 1 1 2<br />

1 2 1 2<br />

Parameter value ; Optimizable (0=NO; 1=YES)<br />

END Q TERM<br />

An alternative to the above u term is the so-called RPA form, whose syntax is as follows. Notice that<br />

only one <strong>of</strong> the possible forms <strong>of</strong> u may be present in correlation.data. The use <strong>of</strong> the u RPA term<br />

is not recommended in practice: lower energies and variances can be achieved using the standard u<br />

term.<br />

START U_RPA TERM<br />

Number <strong>of</strong> sets<br />

1<br />

START SET 1<br />

Spherical harmonic l,m<br />

0 0<br />

Spin dep (0->uu=dd=ud; 1->uu=dd/=ud; 2->uu/=dd/=ud)<br />

1<br />

Cut<strong>of</strong>f (a.u.) ; Optimizable (0=NO; 1=YES)<br />

0.d0 1<br />

Parameter values ; Optimizable (0=NO; 1=YES)<br />

END SET 1<br />

END U_RPA TERM<br />

In homogeneous systems, a three-body W term can also be included:<br />

START W TERM<br />

Number <strong>of</strong> sets<br />

1<br />

START SET 1<br />

Spherical harmonic l,m<br />

0 0<br />

Expansion order N_w<br />

6<br />

Spin dep (0->uu=dd=ud; 1->uu=dd/=ud; 2->uu/=dd/=ud)<br />

0<br />

Cut<strong>of</strong>f (a.u.) ; Optimizable (0=NO; 1=YES)<br />

0.d0 1<br />

Parameter values ; Optimizable (0=NO; 1=YES)<br />

END SET 1<br />

END W TERM<br />

Alternatively, a more general three-body H term exists:<br />

START H TERM<br />

Number <strong>of</strong> sets<br />

61

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