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Commit c441acd1 authored by Johannes Hofmann (Laptop)'s avatar Johannes Hofmann (Laptop)
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Merge branch 'master' of https://alf.physik.uni-wuerzburg.de/ALF/ALF-Tutorial

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README.md
View file @ c441acd1
......@@ -19,8 +19,9 @@ In the following we give hints on how to install relevant packages.
#### OpenSuSE / SLES
- sudo zypper install gcc-gfortran make lapack-devel
ToDo:
Arch Linux. Has a couple of derivatives. We will assume they are equal...
#### Arch Linux
- pacman -S make gcc-fortran lapack
### Other Unixes
gfortran and the lapack implementation from netlib.org should be available for
......@@ -42,18 +43,25 @@ installer and a local repository with all the additional software needed for
ALF.
Steps for installing Cygwin:
- Unizip the archive
- Download zip from https://www.dropbox.com/s/ap8vl85gn9nfbo7/cygwin_ALF.zip?dl=0
and unzip
- Execute "setup-x86_64.exe". If administrator rights are missing, execute it
from the command line as "setup-x86.exe --no-admin".
- In the setup choose "Install from local directory".
- Choose root directory, where cygwin will be installed. In this directory you
will also find the home directory of the Unix environment.
- Choose the diretory "cygwin_ALF" as local package Directory.
- In the setup choose "Install from local directory" instead of "Install from Internet".
- Choose root directory, where cygwin will be installed. You should memorize this diretory.
- Choose the diretory "cygwin\_ALF" (The one which also contains "setup-x86_64.exe")
as local package Directory.
- At the "Select Packages" screen, in "Categories" view, at the line marked
"All", click on the word "default" so that it changes to "install".
- Finish installation
- To add, remove or update installed packages, rerun the installer setup and
chose "Install from Internet".
- Optional: To add, remove or update installed packages, rerun the installer
setup and chose "Install from Internet".
- You can now use the installed Cygwin packages by starting the Cygwin terminal.
It is a UNIX terminal which, by default, starts in the home diretory
"/home/<username>" of the UNIX-system emulated by Cygwin, where "/" is the root
directory of Cygwin. For example, if you have installed Cygwin in
"C:\cygwin64\", then the home Directory of Cygwin ca be found at
"C:\cygwin64\home\<username>", in the Windows system.
## Building
After you have obtained the source code and have set up the build environment
......
Tutorial/ALF_Tutorial.tex
View file @ c441acd1
......@@ -108,6 +108,9 @@
%---------------------------------------------------------------------------------------------------------
\maketitle
\section*{Downloading the code and tutorial}
To download the code, type \texttt{ git clone https://alf.physik.uni\-wuerzburg.de/ALF/ALF.git } in a shell. \\
To download the tutorial including solutions type: \\ \texttt{git clone https://alf.physik.uni-wuerzburg.de/ALF/ALF-Tutorial.git} again in a shell.
\section*{Exercise 1) Testing against ED}
Run the code with the Mz choice of Hubbard Stratonovitch transformation on a four site ring, at $U/t=4$ and inverse temperature $ \beta t = 2 $. For this set of parameters, the exact internal energy reads:
......@@ -197,7 +200,7 @@ Here we will modify the code so as to allow for different hopping matrix eleme
\item Add an extra variable, \texttt{Ham\_Ty}, in the parameter file in the \texttt{VAR\_Hubbard} name space
\item Declare the variable \texttt{Ham\_Ty} in the \texttt{Hamiltonian\_Examples.f90 }.
\item Read in this variable in \texttt{Ham\_set} subroutine of the \texttt{Hamiltonian\_Examples.f90 } file.
\item Modify the hopping matrix in the subroutine \texttt{Ham\_Latt} in the \texttt{Hamiltonian\_Examples.f90 } file.
\item Modify the hopping matrix in the subroutine \texttt{Ham\_Hop} in the \texttt{Hamiltonian\_Examples.f90 } file.
\lstset{style=fortran}
\begin{lstlisting}
DO I = 1, Latt%N
......@@ -216,7 +219,7 @@ ENDDO
\end{lstlisting}
\end{itemize}
In the directory \texttt{Exercise\_2/solutions} we have duplicated the ALF and commented the changes that have to be carried out to the file
In the directory \texttt{Solutions/Exercise\_2} we have duplicated the ALF and commented the changes that have to be carried out to the file
\texttt{Hamiltonian\_Examples.f90 } in the \texttt{Prog} directory.
......@@ -312,7 +315,7 @@ The above form is readily included in the ALF since the interaction is written
H = -t \sum_{i} \left( c^{\dagger}_{i} c^{\phantom\dagger}_{i+a} + c^{\dagger}_{i+a} c^{\phantom\dagger}_{i} \right)
+ V \sum_{i} \left( n_{i} - 1/2 \right) \left( n_{i+a} - 1/2 \right)
\end{equation}
In the directory \texttt{Exercise\_3/solutions} we have duplicated the ALF and commented the changes that have to be carried out to the file
In the directory \texttt{Solutions/Exercise\_3} we have duplicated the ALF and commented the changes that have to be carried out to the file
\texttt{Hamiltonian\_Examples.f90 } in the \texttt{Prog} directory so as to include the t$\_$V model.
Here are the steps to be carried out.
\begin{itemize}
......
Tutorial/Info deleted 100644 → 0
View file @ 8fe7bce4
1) Hubbard SU(2) to Hubbard Mz
2)
Tutorial/Solutions/Exercise_1/Mz_Beta2/Ener.scal deleted 100644 → 0
View file @ 8fe7bce4
==> Dtau_0.05/Ener_scalJ <==
Effective number of bins, and bins: 137 139
OBS : 1 -1.485090 0.001859
OBS : 2 1.000000 0.000000
==> Dtau_0.1/Ener_scalJ <==
Effective number of bins, and bins: 286 288
OBS : 1 -1.524258 0.001405
OBS : 2 1.000000 0.000000
==> Dtau_0.125/Ener_scalJ <==
Effective number of bins, and bins: 337 339
OBS : 1 -1.551056 0.001239
OBS : 2 1.000000 0.000000
Tutorial/Solutions/Exercise_1/Mz_Beta2/Ener_B2.eps
View file @ c441acd1
%!PS-Adobe-2.0 EPSF-2.0
%%Title: Ener_B2.eps
%%Creator: gnuplot 4.6 patchlevel 3
%%CreationDate: Thu Feb 1 05:48:43 2018
%%CreationDate: Sun Feb 18 07:23:15 2018
%%DocumentFonts: (atend)
%%BoundingBox: 50 50 338 251
%%EndComments
......@@ -461,7 +461,7 @@ SDict begin [
/Author (fassaad)
% /Producer (gnuplot)
% /Keywords ()
/CreationDate (Thu Feb 1 05:48:43 2018)
/CreationDate (Sun Feb 18 07:23:15 2018)
/DOCINFO pdfmark
end
} ifelse
......
Tutorial/Solutions/Exercise_1/Mz_Beta2/fit.log deleted 100644 → 0
View file @ 8fe7bce4
*******************************************************************************
Mon Jan 29 09:16:21 2018
FIT: data read from "Ener.dat" u (($1)*($1)):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Mon Jan 29 10:23:40 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Mon Jan 29 10:24:19 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Mon Jan 29 10:25:09 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Mon Jan 29 10:25:36 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Mon Jan 29 10:26:18 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Mon Jan 29 10:26:32 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Mon Jan 29 10:27:00 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Mon Jan 29 10:27:23 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Mon Jan 29 10:27:50 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Thu Feb 1 05:48:24 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1
After 6 iterations the fit converged.
final sum of squares of residuals : 0.697788
rel. change during last iteration : -6.19392e-11
degrees of freedom (FIT_NDF) : 1
rms of residuals (FIT_STDFIT) = sqrt(WSSR/ndf) : 0.835337
variance of residuals (reduced chisquare) = WSSR/ndf : 0.697788
Final set of parameters Asymptotic Standard Error
======================= ==========================
a = -1.47328 +/- 0.001698 (0.1153%)
b = -5.00419 +/- 0.1405 (2.808%)
correlation matrix of the fit parameters:
a b
a 1.000
b -0.913 1.000
*******************************************************************************
Thu Feb 1 05:48:43 2018
FIT: data read from "Ener.dat" u ($1*$1):2:3
format = x:z:s
#datapoints = 3
function used for fitting: f(x)
fitted parameters initialized with current variable values
Iteration 0
WSSR : 9.33551e+06 delta(WSSR)/WSSR : 0
delta(WSSR) : 0 limit for stopping : 1e-05
lambda : 491.183
initial set of free parameter values
a = 1
b = 1