diff options
Diffstat (limited to 'figs/hierarchical_graphene.fig')
-rw-r--r-- | figs/hierarchical_graphene.fig/Makefile | 32 | ||||
-rwxr-xr-x | figs/hierarchical_graphene.fig/gendat | 30 | ||||
-rw-r--r-- | figs/hierarchical_graphene.fig/graphene.mk | 148 | ||||
-rw-r--r-- | figs/hierarchical_graphene.fig/graphene_vector_field.gnuplot | 25 |
4 files changed, 235 insertions, 0 deletions
diff --git a/figs/hierarchical_graphene.fig/Makefile b/figs/hierarchical_graphene.fig/Makefile new file mode 100644 index 0000000..e5e1f5d --- /dev/null +++ b/figs/hierarchical_graphene.fig/Makefile @@ -0,0 +1,32 @@ +PROJECTNAME=graphene_vector_field + +DATS=graphene_vector_field.dat +PDFS=$(addsuffix .pdf, $(PROJECTNAME)) +TEXS=$(addsuffix .tikz.tex, $(PROJECTNAME)) + +all: $(PDFS) + +$(PDFS): $(DATS) + gnuplot $(patsubst %.pdf, %.gnuplot, $@) > $(patsubst %.pdf, %.tikz.tex, $@) + pdflatex -jobname $(basename $@) -file-line-error $(patsubst %.pdf, %.tikz.tex, $@) + +graphene_vector_field.dat: + meankondo -C graphene.mk > graphene-numkondo.mk + ./gendat > $@ + +install: $(PDFS) + cp $^ $(INSTALLDIR)/ + +clean-aux: + rm -f $(addsuffix .tikz.tex, $(PROJECTNAME)) + rm -f $(addsuffix .aux, $(PROJECTNAME)) + rm -f $(addsuffix .log, $(PROJECTNAME)) + +clean-dat: + rm -f $(DATS) + rm -f graphene-numkondo.mk + +clean-tex: + rm -f $(PDFS) + +clean: clean-aux clean-tex diff --git a/figs/hierarchical_graphene.fig/gendat b/figs/hierarchical_graphene.fig/gendat new file mode 100755 index 0000000..d905203 --- /dev/null +++ b/figs/hierarchical_graphene.fig/gendat @@ -0,0 +1,30 @@ +#!/bin/bash + +# location of numkondo config +config=$(dirname $0)/graphene-numkondo.mk + +# range and number of points in each direction +minx=-2 +maxx=2 +nx=20 + +miny=-1 +maxy=1 +ny=20 + +# compute each point +for i in $(seq $nx); do + # alpha_0 + alpha0=$(python -c "print($minx+($maxx-($minx))/($nx-1)*($i-1))") + for j in $(seq $ny); do + # alpha_1 + alpha1=$(python -c "print($miny+($maxy-($miny))/($ny-1)*($j-1))") + + # print alphas + echo -n "$alpha0 $alpha1 " + + # compute step and select the relevant lines + dat=$(numkondo -N 1 -F -I "0:$alpha0,1:$alpha1" "$config" | sed -r '/^[^01]/d;s/^[0-9]*://;s/,//' | tr '\n' ' ') + echo "$dat" + done +done diff --git a/figs/hierarchical_graphene.fig/graphene.mk b/figs/hierarchical_graphene.fig/graphene.mk new file mode 100644 index 0000000..7bd1cca --- /dev/null +++ b/figs/hierarchical_graphene.fig/graphene.mk @@ -0,0 +1,148 @@ +## This computes the logarithm of the flow equation + +#!fields +# extrenal fields: xy0 where x=alpha, y=sigma +x:110,120,210,220 +# internal fields: xy1 where x=alpha, y=sigma +i:111,121,211,221 +# all are Fermions +f:110,120,210,220,111,121,211,221 + +& +#!groups +# different spins are independent +(111,211) (121,221) + +& +#!preprocessor_variables + +# psi's with internal fields +psiAU=(1/2)[f110]+[f111], +psiAD=(1/2)[f120]+[f121], +psiBU=(1/2)[f210]+[f211], +psiBD=(1/2)[f220]+[f221], + +psiAU-=(1/2)[f-110]+[f-111], +psiAD-=(1/2)[f-120]+[f-121], +psiBU-=(1/2)[f-210]+[f-211], +psiBD-=(1/2)[f-220]+[f-221], + +# operators with internal fields +O0= +<<$psiAU>*<$psiBU->>+ +<<$psiBU>*<$psiAU->>+ +<<$psiAD>*<$psiBD->>+ +<<$psiBD>*<$psiAD->>, + +O1= +<<$psiAU>*<$psiAU->*<$psiAD>*<$psiAD->>+ +<<$psiBU>*<$psiBU->*<$psiBD>*<$psiBD->>, + +O2= +<<$psiAU>*<$psiAD->*<$psiBD>*<$psiBU->>+ +<<$psiBU>*<$psiBD->*<$psiAD>*<$psiAU->>+ +<<$psiAD>*<$psiAU->*<$psiBU>*<$psiBD->>+ +<<$psiBD>*<$psiBU->*<$psiAU>*<$psiAD->>, + +O3= +<<$psiAU>*<$psiAU->*<$psiBU>*<$psiBU->>+ +<<$psiAD>*<$psiAD->*<$psiBD>*<$psiBD->>, + +O4= +<<$psiAU>*<$psiBU->*<$psiAD>*<$psiBD->>+ +<<$psiBU>*<$psiAU->*<$psiBD>*<$psiAD->>, + +O5= +<<$psiAU>*<$psiAU->*<$psiAD>*<$psiBU->*<$psiBU>*<$psiBD->>+ +<<$psiAD>*<$psiAD->*<$psiAU>*<$psiBD->*<$psiBD>*<$psiBU->>+ +<<$psiBU>*<$psiBU->*<$psiBD>*<$psiAU->*<$psiAU>*<$psiAD->>+ +<<$psiBD>*<$psiBD->*<$psiBU>*<$psiAD->*<$psiAD>*<$psiAU->>, + +O6=<<$psiAU>*<$psiAU->*<$psiAD>*<$psiAD->*<$psiBU>*<$psiBU->*<$psiBD>*<$psiBD->>, + + +# psi's without internal fields +phiAU=[f110], +phiAD=[f120], +phiBU=[f210], +phiBD=[f220], + +phiAU-=[f-110], +phiAD-=[f-120], +phiBU-=[f-210], +phiBD-=[f-220], + +# operators without internal fields +E0= +<<$phiAU>*<$phiBU->>+ +<<$phiBU>*<$phiAU->>+ +<<$phiAD>*<$phiBD->>+ +<<$phiBD>*<$phiAD->>, + +E1= +<<$phiAU>*<$phiAU->*<$phiAD>*<$phiAD->>+ +<<$phiBU>*<$phiBU->*<$phiBD>*<$phiBD->>, + +E2= +<<$phiAU>*<$phiAD->*<$phiBD>*<$phiBU->>+ +<<$phiBU>*<$phiBD->*<$phiAD>*<$phiAU->>+ +<<$phiAD>*<$phiAU->*<$phiBU>*<$phiBD->>+ +<<$phiBD>*<$phiBU->*<$phiAU>*<$phiAD->>, + +E3= +<<$phiAU>*<$phiAU->*<$phiBU>*<$phiBU->>+ +<<$phiAD>*<$phiAD->*<$phiBD>*<$phiBD->>, + +E4= +<<$phiAU>*<$phiBU->*<$phiAD>*<$phiBD->>+ +<<$phiBU>*<$phiAU->*<$phiBD>*<$phiAD->>, + +E5= +<<$phiAU>*<$phiAU->*<$phiAD>*<$phiBU->*<$phiBU>*<$phiBD->>+ +<<$phiAD>*<$phiAD->*<$phiAU>*<$phiBD->*<$phiBD>*<$phiBU->>+ +<<$phiBU>*<$phiBU->*<$phiBD>*<$phiAU->*<$phiAU>*<$phiAD->>+ +<<$phiBD>*<$phiBD->*<$phiBU>*<$phiAD->*<$phiAD>*<$phiAU->>, + +E6=<<$phiAU>*<$phiAU->*<$phiAD>*<$phiAD->*<$phiBU>*<$phiBU->*<$phiBD>*<$phiBD->> + +& +#!propagator +111;211: 1 ,121;221: 1 , +211;111: 1 ,221;121: 1 + +& +#!input_polynomial +<%exp< + <<[l0]>*<$O0>>+ + <<[l1]>*<$O1>>+ + <<[l2]>*<$O2>>+ + <<[l3]>*<$O3>>+ + <<[l4]>*<$O4>>+ + <<[l5]>*<$O5>>+ + <<[l6]>*<$O6>> +>> + +& +#!postprocess_flow_equation +<<8>*<%log_1<$FLOW>>> + +& +#!id_table +0: <$E0>, +1: <$E1>, +2: <$E2>, +3: <$E3>, +4: <$E4>, +5: <$E5>, +6: <$E6> + +& +#!labels + +0:"O0" , +1:"O1" , +2:"O2" , +3:"O3" , +4:"O4" , +5:"O5" , +6:"O6" diff --git a/figs/hierarchical_graphene.fig/graphene_vector_field.gnuplot b/figs/hierarchical_graphene.fig/graphene_vector_field.gnuplot new file mode 100644 index 0000000..9eef976 --- /dev/null +++ b/figs/hierarchical_graphene.fig/graphene_vector_field.gnuplot @@ -0,0 +1,25 @@ +set ylabel "$\\alpha_1$" norotate +set xlabel "$\\alpha_0$" + +# default output canvas size: 12.5cm x 8.75cm +set term lua tikz size 8,6 standalone + +unset key + +set pointsize 1 + +# color functions + +rgb(r,g,b) = 65536 * int(r) + 256 * int(g) + int(b) +color(x) = rgb(x*255, 0 , (1-x)*255) + +# get min/max +set yrange [-1000:1000] +stats "graphene_vector_field.dat" u (log10(sqrt(($3-$1)**2+($4-$2)**2))) + +set xrange [-2:2] +set yrange [-1:1] + +rescale=15 + +plot "graphene_vector_field.dat" u 1:2:(($3-$1)/sqrt(($3-$1)**2+($4-$2)**2)/rescale):(($4-$2)/sqrt(($3-$1)**2+($4-$2)**2)/rescale):(color((log10(sqrt(($3-$1)**2+($4-$2)**2))-STATS_min)/(STATS_max-STATS_min))) with vec filled head linecolor rgb variable |