Commit bbae041e authored by Jefferson Stafusa E. Portela's avatar Jefferson Stafusa E. Portela
Browse files

Update annotations following 07.09.2020 ALF meeting.

parent 68024475
......@@ -308,7 +308,7 @@ Do I = 1,Latt%N
Op_T(1,nf)%O(Ix, I ) = cmplx(-Ham_T, 0.d0, kind(0.D0))
If ( L2 > 1 ) then
Iy = Latt%nnlist(I,0,1)
!!!!!!! Modifications for Exercise
!!!!!!! Modifications for Exercise 1a
!Op_T(1,nf)%O(I, Iy) = cmplx(-Ham_T, 0.d0, kind(0.D0))
!Op_T(1,nf)%O(Iy, I ) = cmplx(-Ham_T, 0.d0, kind(0.D0))
Op_T(1,nf)%O(I, Iy) = cmplx(-Ham_Ty, 0.d0, kind(0.D0))
......@@ -322,7 +322,7 @@ Enddo
\end{itemize}
Note: If you'd like to run the simulation using MPI, you should also add the broadcasting call for \texttt{Ham\_Ty} to \texttt{Ham\_Set}.
\red{[NOT yet done. Necessary?]} In the directory \texttt{Solutions/Exercise\_2} we have duplicated the ALF and commented the changes that have to be carried out to the file \texttt{Hamiltonian\_Hubbard\_Plain\_Vanilla\_mod.F90} in the \texttt{Prog} directory.
\red{[NOT yet done.]} In the directory \texttt{Solutions/Exercise\_2} we have duplicated the ALF and commented the changes that have to be carried out to the file \texttt{Hamiltonian\_Hubbard\_Plain\_Vanilla\_mod.F90} in the \texttt{Prog} directory.
\noindent
As an application of this code, one can consider a 2-leg ladder system defined, e.g., with \texttt{L1=14}, \texttt{L2=2}, \texttt{Lattice\_type="Square"}, \texttt{Model="Hubbard\_Plain\_Vanilla"} and \texttt{Ham\_Ty=2.0D0}.
......@@ -331,7 +331,7 @@ As an application of this code, one can consider a 2-leg ladder system defined,
\exerciseitem{The SU(2) Hubbard-Stratonovich transformation}
\red{[HOW to best implement this? Introduce modifications to \texttt{Hamiltonian\_Hubbard\_mod.F90}?]} The SU(2) Hubbard-Stratonovich decomposition, conserves spin rotational symmetry. Run the ladder code with the SU(2) flag in the parameter file switched on (i.e. \texttt{Model = Hubbard\_SU2}) and compare results.
\red{[Introduce modifications to \texttt{Hamiltonian\_Hubbard\_mod.F90}]} The SU(2) Hubbard-Stratonovich decomposition, conserves spin rotational symmetry. Run the ladder code with the SU(2) flag in the parameter file switched on (i.e. \texttt{Model = Hubbard\_SU2}) and compare results.
......@@ -355,6 +355,7 @@ In the 1-D Hubbard we have emergent $SO(4)$ symmetry:
\left\langle \bar{S}(r)S(0) \right\rangle &\sim \frac{(-1)^r}{r}\ln^d(r)\\
\left\langle \hat{O}_{r,x} \hat{O}_{0,x} \right\rangle - \left\langle \hat{O}_{r,x} \right\rangle \left\langle \hat{O}_{0,x} \right\rangle &\sim \frac{(-1)^r}{r}\ln^\beta(r)
\end{align}
where $d=??$ and $\beta=??$ \cite{references}.
[It should be added to the Predefined Structures.]\\
......
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