up

README.md

@@ -7,6 +7,6 @@
 
 Huanhai and I try to reproduce the results of the paper [Liao, H., Liu, J., Wang, L., Xiang, T., 2019. Differentiable Programming Tensor Networks. Physical Review X 9, 31041]  in Julia.
 
-![](./examples/energy_density.png)
-![](./examples/specific_heat.png)
+![](./examples/energy_density_to.png)
+![](./examples/specific_heat_to.png)
 

examples/ising_trg.jl

@@ -5,9 +5,9 @@ using ad.Plots
 Dcut = 30
 n = 30
 
-ts = 2.5:-0.01:2;
+ts = 2.52:-0.01:1.98;
 β = inv.(ts);
-@show "=====TRG======"
+
 lnZ = []
 for K in β
     t = 1.0/K
@@ -23,18 +23,26 @@ F = - ts.* lnZ
 dF = - diff(lnZ)./diff(β)
 
 # plotting
-plot(β[1:end-1], dF, label="energy density", xlabel="β", ylabel="energy density", title="reproduce", seriestype=:line)
-scatter!(β[1:end-1], dF, label="-∂lnZ/∂β")
+# Find the indices where β is between 0.40 and 0.50
+indices = findall(x -> 0.40 <= x <= 0.50, β[1:end-1])
+
+# Plot only the selected range
+plot(β[indices], dF[indices], label="energy density", xlabel="β", ylabel="energy density", title="reproduce", seriestype=:line)
+scatter!(β[indices], dF[indices], label="-∂lnZ/∂β")
+
 
 # save figure
-savefig("energy_density.png")
+savefig("energy_density_to.png")
 
-# taking the second derivative
 # taking the second derivative with β^2
 dS = - β[1:end-2].^2 .* diff(dF)./diff(β[1:end-1])
+# Find the indices where β is between 0.40 and 0.50
+indices = findall(x -> 0.40 <= x <= 0.50, β[1:end-2])
+
+# Plot only the selected range
+plot(β[indices], dS[indices], label="specific heat", xlabel="β", ylabel="specific heat", title="reproduce", seriestype=:line)
+scatter!(β[indices], dS[indices], label="β^2(∂^2lnZ/∂β^2)")
 
-plot(β[1:end-2], dS, label="specific heat", xlabel="β", ylabel="specific heat", title="reproduce", seriestype=:line)
-scatter!(β[1:end-2], dS, label="β^2(∂^2lnZ/∂β^2)")
 
 # save figure
-savefig("specific_heat.png")
+savefig("specific_heat_to.png")