{ "cells": [ { "cell_type": "code", "execution_count": 32, "id": "c779dd7f", "metadata": {}, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from IPython.display import display, HTML\n", "display(HTML(\"\"))" ] }, { "cell_type": "code", "execution_count": 1, "id": "f5321ef2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "40" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import ipyparallel as ipp\n", "\n", "cluster = ipp.Client()\n", "\n", "v = cluster[:]\n", "lview = cluster.load_balanced_view()\n", "len(v)" ] }, { "cell_type": "code", "execution_count": 38, "id": "dc87b328", "metadata": {}, "outputs": [], "source": [ "import os\n", "\n", "os.environ[\"OMP_NUM_THREADS\"] = \"1\" # export OMP_NUM_THREADS=1\n", "os.environ[\"OPENBLAS_NUM_THREADS\"] = \"1\" # export OPENBLAS_NUM_THREADS=1 \n", "os.environ[\"MKL_NUM_THREADS\"] = \"1\" # export MKL_NUM_THREADS=1 #Block multithreading\n", "os.environ[\"VECLIB_MAXIMUM_THREADS\"] = \"1\" # export VECLIB_MAXIMUM_THREADS=1\n", "os.environ[\"NUMEXPR_NUM_THREADS\"] = \"1\" # export NUMEXPR_NUM_THREADS=1" ] }, { "cell_type": "code", "execution_count": 39, "id": "779145a5", "metadata": {}, "outputs": [], "source": [ "%%px --local\n", "\n", "import kwant\n", "import tinyarray\n", "import matplotlib.pyplot as plt\n", "import scipy.sparse.linalg as sla\n", "import scipy.constants as sc\n", "from scipy.constants import physical_constants\n", "from scipy import constants\n", "import numpy as np\n", "import types\n", "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 40, "id": "be7f1c8e", "metadata": {}, "outputs": [], "source": [ "%%px --local\n", "\n", "from cmath import exp\n", "from math import pi\n", "from scipy import constants" ] }, { "cell_type": "code", "execution_count": 41, "id": "f0f6616e", "metadata": {}, "outputs": [], "source": [ "%%px --local\n", "\n", "c = physical_constants['speed of light in vacuum'][0]\n", "val_hbar = physical_constants['Planck constant over 2 pi in eV s'][0]\n", "val_mu_B = physical_constants['Bohr magneton in eV/T'][0]\n", "val_e = physical_constants['elementary charge'][0]\n", "unit = physical_constants['elementary charge'][1]\n", "\n", "val_m0 = physical_constants['electron mass energy equivalent in MeV'][0]\n", "# print(val_e/val_hbar)\n", "\n" ] }, { "cell_type": "code", "execution_count": 42, "id": "be51d79f", "metadata": {}, "outputs": [], "source": [ "%%px --local\n", "\n", "s0 = tinyarray.array([[1, 0], [0, 1]])\n", "sx = tinyarray.array([[0, 1], [1, 0]])\n", "sy = tinyarray.array([[0, -1j], [1j, 0]])\n", "sz = tinyarray.array([[1, 0], [0, -1]])\n", "sx1 = tinyarray.array([[0, 1], [0, 0]])\n", "sx2 = tinyarray.array([[0, 0], [1, 0]])\n", "\n", "s0sx = np.kron(s0,sx)\n", "s0sy = np.kron(s0,sy)\n", "s0sz = np.kron(s0,sz)\n", "s0sx1 = np.kron(s0,sx1)\n", "s0sx2 = np.kron(s0,sx2)\n", "sxsz = np.kron(sx,sz)\n", "sysz = np.kron(sy,sz)\n", "\n", "\n", "\n", "#print(dir(constants))\n", "def make_system(L_W,L_SC,L_N):\n", " \n", " a= 5*1e-9\n", " m = 0.014\n", " t=val_hbar**2*c**2/(2*m*val_m0*1e6*a**2)\n", " mu = 10*1e-3\n", " Delta = 1.0*1e-3\n", "\n", "\n", "\n", "\n", " lat = kwant.lattice.square(a*1e9, norbs=4)\n", " syst = kwant.Builder()\n", " \n", " def wire(pos):\n", " (x,y) = pos\n", " \n", " ret = False\n", " if (-L_SC -L_N/2 <= x <= L_SC + L_N/2 and -L_W/2<=y<=L_W/2):\n", " ret = True\n", " if (-L_N/2< x< L_N/2 and L_W/2<= y <=L_SC): \n", " ret = True\n", " \n", " return ret\n", "\n", " def onsite(site, phi1,phi2,phi3):\n", " (x,y) = site.pos\n", " \n", " if (-L_W/2<=y<=L_W/2 and x <= -L_N/2):\n", " return (4 * t - mu) * s0sz + Delta * exp(1j * phi1) * s0sx1 + Delta * exp(-1j * phi1) * s0sx2\n", " if (-L_W/2<=y<=L_W/2 and x >= L_N/2):\n", " return (4 * t - mu) * s0sz + Delta * exp(1j * phi2) * s0sx1 + Delta * exp(-1j * phi2) * s0sx2\n", " if -L_N/2< x< L_N/2 and L_W/2< y <=L_SC:\n", " return (4 * t - mu) * s0sz + Delta * exp(1j * phi3) * s0sx1 + Delta * exp(-1j * phi3) * s0sx2\n", " \n", " else:\n", " return (4 * t - mu) * s0sz\n", " \n", " def hopx(site1 ,site2, alpha):\n", " return -t * s0sz + 1j * alpha * sysz / (2*a*1e9)\n", " \n", " def hopy(site1 ,site2, alpha):\n", " return -t * s0sz - 1j * alpha * sxsz / (2*a*1e9)\n", " \n", "\n", " syst[lat.shape(wire, (0, 0))] = onsite\n", " syst[kwant.builder.HoppingKind((1, 0), lat, lat)] = hopx\n", " syst[kwant.builder.HoppingKind((0, 1), lat, lat)] = hopy\n", "\n", " \n", " \n", " return syst\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 43, "id": "6c752eb6", "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "syst = make_system(L_W=120, L_SC=200,L_N=50)\n", "syst = syst.finalized()\n", "kwant.plotter.plot(syst, fig_size = (40,20), colorbar = False,\\\n", " site_color= lambda site: np.real(syst.hamiltonian(site, site, params = dict(phi1=0, phi2=0, phi3=0, alpha=0.05))[1,0]),\\\n", " );\n", "#kwant.plot(syst,fig_size = (20,20));\n", "#plt.savefig('SNS_close.pdf',bbox_inches='tight')\n", "\n" ] }, { "cell_type": "code", "execution_count": 44, "id": "1b018881", "metadata": {}, "outputs": [], "source": [ "#%%px --local\n", "def coherence_length(m, mu, Delta):\n", " \n", " \"\"\" Calculate the coherence lenght of the josephson junction\n", " m: value of effective mass in terms of the electron mass (This has to express in MeV/c**2)\n", " Delta : Superconducting gap\n", " mu : Chemical potential \"\"\"\n", " \n", " val_m0 = physical_constants['electron mass energy equivalent in MeV'][0]\n", " val_hbar = physical_constants['Planck constant over 2 pi in eV s'][0]\n", " c= physical_constants['speed of light in vacuum'][0]\n", " vf = np.sqrt(2*mu*c**2/(m*val_m0*1e6))\n", " xi = val_hbar*vf/Delta\n", " xi = xi*1e9 #If we want to express in nm we multiply by *1e9\n", " \n", " return xi, val_hbar" ] }, { "cell_type": "code", "execution_count": 45, "id": "f1170514", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Coherence length = (329.9342814156751, 6.582119514e-16)\n" ] } ], "source": [ "m = 0.014\n", "mu = 10*1e-3\n", "Delta = 1.0*1e-3\n", "print(\"Coherence length = \", coherence_length(m, mu, Delta))" ] }, { "cell_type": "code", "execution_count": 47, "id": "9b1e874a", "metadata": {}, "outputs": [], "source": [ "%%px --local\n", "def calculate_energies(phi2,phi3,phi1,L_W,L_SC, L_N,alpha,n_values):\n", " \"\"\"Compute eigenenergies using MUMPS as a sparse solver.\n", "\n", " Parameters:\n", " ----------\n", " ham : coo_matrix\n", " The Hamiltonian of the system in sparse representation..\n", " n_eigs : int\n", " The number of energy eigenvalues to be returned.\n", " n_vec_lanczos : int\n", " Number of Lanczos vectors used by the sparse solver.\n", " sigma : float\n", " Parameter used by the shift-inverted method. See\n", " documentation of scipy.sparse.linalg.eig\n", "\n", " Returns:\n", " --------\n", " A list containing the sorted energy levels. Only positive\n", " energies are returned.\n", " \"\"\"\n", " class LuInv(sla.LinearOperator):\n", " def __init__(self, A):\n", " inst = kwant.linalg.mumps.MUMPSContext()\n", " inst.factor(A, ordering='metis')\n", " self.solve = inst.solve\n", " try:\n", " super(LuInv, self).__init__(shape=A.shape, dtype=A.dtype,\n", " matvec=self._matvec)\n", " except TypeError:\n", " super(LuInv, self).__init__(shape=A.shape, dtype=A.dtype)\n", "\n", " def _matvec(self, x):\n", " return self.solve(x.astype(self.dtype))\n", "\n", " n_eigs=n_values\n", " n_vec_lanczos=3*n_values+10\n", " sigma=0.0\n", " \n", " syst = make_system(L_W=L_W, L_SC=L_SC,L_N= L_N).finalized()\n", " ham_mat = syst.hamiltonian_submatrix(params=dict(phi1=phi1, phi2=phi2, phi3=phi3, alpha=alpha), sparse=True)\n", " ev = sla.eigs(ham_mat, k=n_eigs, OPinv=LuInv(ham_mat), sigma=sigma, ncv=n_vec_lanczos,\\\n", " return_eigenvectors=False)\n", " energies = np.sort(ev)\n", " \n", " \n", " \n", " return energies[energies>0]" ] }, { "cell_type": "code", "execution_count": 48, "id": "7cff6e45", "metadata": {}, "outputs": [], "source": [ "def efficiency_eigenstates(phi1,phi3, L_W, L_SC, L_N, alpha, n_values):\n", " \n", " values=100\n", " phi2_values = np.linspace(0, 2 * np.pi, 100)\n", " ABStab= []\n", " \n", " energy = lview.map_async(lambda phi2 : calculate_energies(phi2, phi1 =phi1, phi3=phi3, L_W=L_W, L_SC=L_SC,\\\n", " L_N=L_N, alpha=alpha, n_values=n_values), phi2_values)\n", " \n", " energy.wait_interactive()\n", " energies = energy.get()\n", " \n", " energies1 = np.array(np.real(energies))\n", " \n", " for i in range(values):\n", " ABStab.append(np.sum(energies1[i,:]))\n", " I = -np.gradient(ABStab,phi2_values)#axis=0)\n", "\n", " \n", " Delta=1.0*1e-3\n", "\n", " maximum = (max(I)/Delta)\n", " minimum = (min(I)/Delta)\n", " print('The maximum value of I is', maximum)\n", " print('The minimum value of I is ', minimum)\n", " print('Current difference:', abs(maximum - abs(minimum)))\n", " \n", " n = (maximum - abs(minimum))/(maximum + abs(minimum))\n", "\n", " return np.array(energies1)*1e3, I/Delta, n*100\n", " " ] }, { "cell_type": "code", "execution_count": 49, "id": "984b91af", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 100/100 tasks finished after 11230 s\n", "done\n", "The maximum value of I is 2.198714517391842\n", "The minimum value of I is -2.694737745410958\n", "Current difference: 0.4960232280191157\n" ] } ], "source": [ "energies_current_nvalues500 = efficiency_eigenstates(phi1 =0, phi3=1.5*np.pi, L_W=500, L_SC=1000,L_N=500, alpha=0.0,n_values=500)" ] }, { "cell_type": "code", "execution_count": 50, "id": "25b329c7", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "phi2_values = np.linspace(0, 2 * np.pi, 100)\n", "plt.plot(phi2_values/np.pi,energies_current_nvalues500[0])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 76, "id": "e9485262", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_903553/1192468668.py:6: MatplotlibDeprecationWarning: Auto-removal of overlapping axes is deprecated since 3.6 and will be removed two minor releases later; explicitly call ax.remove() as needed.\n", " plt.subplot( rows, cols, 1, facecolor=\"lightcyan\")\n", "/tmp/ipykernel_903553/1192468668.py:12: MatplotlibDeprecationWarning: Auto-removal of overlapping axes is deprecated since 3.6 and will be removed two minor releases later; explicitly call ax.remove() as needed.\n", " plt.subplot( rows, cols, 1, facecolor=\"white\")\n", "/tmp/ipykernel_903553/1192468668.py:38: MatplotlibDeprecationWarning: Auto-removal of overlapping axes is deprecated since 3.6 and will be removed two minor releases later; explicitly call ax.remove() as needed.\n", " plt.subplot( rows, cols, 2, facecolor=\"white\")\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#fig.subplots_adjust(hspace=0.05, wspace=0.25)\n", "Delta = 0.2*1e-3\n", "phase2 = np.linspace(0, 2*np.pi, 100)\n", "rows, cols = 1, 2\n", "f, axs = plt.subplots( rows, cols,figsize=(12, 8))\n", "plt.subplot( rows, cols, 1, facecolor=\"lightcyan\")\n", "plt.subplots_adjust(wspace=0.3, hspace=0.1)\n", "#f.tight_layout()\n", "\n", "#plt.subplot(2, 2, 1)\n", "\n", "plt.subplot( rows, cols, 1, facecolor=\"white\")\n", "#frame1.axes.xaxis.set_ticklabels([])\n", "\n", "#frame1 = plt.gca()\n", "\n", "plt.plot(phi2_values/np.pi,energies_current_nvalues500[0], lw=3, color='black')\n", "#plt.plot(phi2_values/np.pi, y2, lw=2.5, color= 'blue',label ='$\\phi_3 = 1.5\\pi$')\n", "#plt.legend(fontsize=14,loc=4)\n", "\n", "plt.xlabel(\"$\\phi_2\\;[\\pi]$\",fontsize=18)\n", "plt.ylabel(\"E (meV)\",fontsize=18)\n", "plt.xticks(np.arange(min(phase2/np.pi), max(phase2/np.pi)+0.5, 0.5), fontsize = 16)\n", "plt.yticks(np.arange(0.0, np.max(np.real(energies_current_nvalues500[0]))+0.5, 0.3), fontsize = 16)\n", "#plt.yticks(fontsize=16)\n", "#plt.xticks(np.arange(min(phi2_values/np.pi), max(phi2_values/np.pi)+0.5, 0.5), fontsize = 16)\n", "plt.text(-0.4, 1.37, \"(a)\", fontsize=28)\n", "plt.xlim(0,2)\n", "plt.ylim(0,1.6)\n", "#plt.text(0.1, 0.022, \"(a)\", fontsize=24)\n", "#plt.gca().yaxis.set_major_formatter(StrMethodFormatter('{x:,.0f}'))\n", "\n", "\n", "plt.grid()\n", "\n", "\n", "# plt.subplot(2, 2, 2)\n", "plt.subplot( rows, cols, 2, facecolor=\"white\")\n", "#frame2.axes.xaxis.set_ticklabels([])\n", "\n", "#frame2 = plt.gca()\n", "\n", "plt.plot(phi2_values/np.pi,energies_current_nvalues500[1],color=\"darkviolet\",lw=3)\n", "\n", "plt.xlabel(\"$\\phi_2\\;[\\pi]$\",fontsize=18)\n", "plt.ylabel(\"$\\mathit{I}$ [e$\\Delta$/$\\hbar$]\", fontsize=18)\n", "plt.xticks(np.arange(min(phase2/np.pi), max(phase2/np.pi)+0.5, 0.5), fontsize = 16)\n", "plt.yticks(fontsize=16)\n", "\n", "plt.xlim(0,2)\n", "plt.axhline(y=2.22, color='r', linestyle='--')#, label=\"$I^{+}_c$\")\n", "plt.axhline(y=-2.7, color='magenta', linestyle='--')#, label=\"$I^{-}_c$\")\n", "plt.text(1.5, 1.8, '$I^{+}_c$', color='r', fontsize=20, ha='right', va='bottom')\n", "plt.text(0.6, -2.4, '$I^{-}_c$', color='magenta', fontsize=20, ha='right', va='top')\n", "plt.text(-0.4, 1.76, \"(b)\", fontsize=28)\n", "\n", "\n", "\n", "plt.grid()\n", "plt.savefig(\"energies_current_longjunction.pdf\",bbox_inches =\"tight\")\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 52, "id": "19f0f694", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "-10.13646810840678" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "energies_current_nvalues500[2]" ] }, { "cell_type": "markdown", "id": "424e0aa8", "metadata": {}, "source": [ "# Efficiency long junction" ] }, { "cell_type": "code", "execution_count": 47, "id": "ed7a1dfa", "metadata": {}, "outputs": [], "source": [ "# %%px --local\n", "def current(phi1,phi3, L_W, L_SC, L_N, alpha, n_values):\n", " \n", " values=100\n", " phi2_values = np.linspace(0, 2 * np.pi, values)\n", " ABStab= []\n", " \n", " energy = lview.map_async(lambda phi2 : calculate_energies(phi2, phi1 =phi1, phi3=phi3, L_W=L_W, L_SC=L_SC,\\\n", " L_N=L_N, alpha=alpha, n_values=n_values), phi2_values)\n", " \n", " energy.wait_interactive()\n", " energies = energy.get()\n", " \n", " energies1 = np.array(np.real(energies))\n", " \n", " for i in range(values):\n", " ABStab.append(np.sum(energies1[i,:]))\n", " I = -np.gradient(ABStab,phi2_values)\n", "\n", " return I" ] }, { "cell_type": "code", "execution_count": 48, "id": "c3cbc8cc", "metadata": {}, "outputs": [], "source": [ "def efficiency(phi1, L_W, L_SC,L_N, alpha, n_values):\n", " phase3 = np.linspace(0, 2*np.pi, 100)\n", " maximum =[]\n", " minimum =[]\n", " efficiency =[]\n", " Delta = 1.0*1e-3\n", "\n", " for phi3 in phase3:\n", "\n", " corrientes = current(phi1=phi1,phi3=phi3, L_W=L_W, L_SC=L_SC, L_N=L_N, alpha=alpha, n_values=n_values)\n", "\n", " maxi = np.max(corrientes)\n", " mini = np.min(corrientes)\n", "\n", " n = (maxi - abs(mini))/(maxi + abs(mini))\n", "\n", " maximum.append(maxi)\n", " minimum.append(mini)\n", "\n", " efficiency.append(n)\n", "\n", " return np.array(maximum)/Delta, np.array(minimum)/Delta, np.array(efficiency)*100\n", " " ] }, { "cell_type": "code", "execution_count": null, "id": "d5c22e96", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " 0/100 tasks finished after 1230 s" ] } ], "source": [ "valores_efficiency = efficiency(phi1=0, L_W=500, L_SC=1000, L_N=500, alpha=0.0, n_values=500)" ] }, { "cell_type": "code", "execution_count": 56, "id": "51eeae9e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 56, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "phase3 = np.linspace(0, 2*np.pi, 100)\n", "plt.plot(phase3/np.pi,valores_efficiency[0])\n", "plt.plot(phase3/np.pi,abs(valores_efficiency[1]))" ] }, { "cell_type": "code", "execution_count": 58, "id": "2f58e69c", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 58, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(phase3/np.pi, valores_efficiency[2])" ] }, { "cell_type": "code", "execution_count": 64, "id": "613af858", "metadata": {}, "outputs": [], "source": [ "maximum = valores_efficiency[0]\n", "minimum = valores_efficiency[1]\n", "efficiency = valores_efficiency[2]" ] }, { "cell_type": "code", "execution_count": 96, "id": "507aaf2b", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_771733/690049078.py:8: MatplotlibDeprecationWarning: Auto-removal of overlapping axes is deprecated since 3.6 and will be removed two minor releases later; explicitly call ax.remove() as needed.\n", " plt.subplot(1, 2, 1)\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig =plt.figure(1,figsize=(12,8))#cambio de tamaƱo del area de ploteo (x, y)\n", "fig.subplots_adjust(hspace=0.15, wspace=0.4)\n", "\n", "frame1 = plt.gca()\n", "frame1.axes.xaxis.set_ticklabels([])\n", "# frame1.axes.yaxis.set_ticklabels([])\n", "phase3 = np.linspace(0, 2*np.pi, 100)\n", "plt.subplot(1, 2, 1)\n", "plt.plot(phase3/np.pi, np.array(maximum), label='$I^{+}_c$', lw = 3, color='blue')\n", "plt.plot(phase3/np.pi, np.abs(np.array(minimum)), label='$|I^{-}_c|$', lw = 3, color= 'red')\n", "plt.xlabel(\"$\\phi_3\\;[\\pi]$\", fontsize=18) \n", "plt.ylabel(\"$\\mathit{I}$ [e$\\Delta$/$\\hbar$]\", fontsize=18)\n", "plt.xlim(0,2)\n", "plt.xticks(np.arange(min(phase3/np.pi), max(phase3/np.pi)+0.5, 0.5), fontsize = 16)\n", "plt.yticks(fontsize = 16)\n", "plt.text(0.1, 1.455, \"(a)\", fontsize=28)\n", "plt.legend(frameon=False,loc='lower right',fontsize=18)\n", "\n", "# inclination_angle = 0 \n", "# plt.annotate(\"$I^{+}_c$\", fontsize=18, xy=(0.7, 20.5), xytext=(1.1, 18),\n", "# arrowprops=dict(arrowstyle='->'))\n", "# plt.annotate('$I^{-}_c$',fontsize=18, xy=(1.2, -18.6), xytext=(1.1, -15),\n", "# arrowprops=dict(arrowstyle='->'))\n", "plt.grid()\n", "\n", "#plot 2:\n", "plt.subplot(1, 2, 2)\n", "plt.plot(phase3/np.pi,np.array(efficiency), lw = 3, color='black')\n", "#plt.plot(phase3/np.pi,np.array(efficiency)*100, lw = 3, color='black')\n", "\n", "plt.xlabel(\"$\\phi_3\\;[\\pi]$\", fontsize=18)\n", "plt.ylabel(\"$\\eta$%\", fontsize=18)\n", "plt.xlim(0,2)\n", "plt.xticks(np.arange(min(phase3/np.pi), max(phase3/np.pi)+0.5, 0.5), fontsize = 16)\n", "plt.yticks(fontsize = 16)\n", "plt.text(0.1, -18.2, \"(b)\", fontsize=28)\n", "\n", "plt.grid()\n", "\n", "plt.savefig(\"supercurrent_efficiency_longjunction.pdf\",bbox_inches =\"tight\")\n", "\n", "plt.show();\n" ] }, { "cell_type": "code", "execution_count": null, "id": "8e167c0e", "metadata": {}, "outputs": [], "source": [ "import pandas as pd" ] }, { "cell_type": "code", "execution_count": 73, "id": "a5ded811", "metadata": {}, "outputs": [], "source": [ "pd.DataFrame(maximum).to_pickle('/home/jhcorrea/data_long_junction/maximum_friday151223.pkl') #to save the dataframe, df to *.pkl\\\n", "pd.DataFrame(minimum).to_pickle('/home/jhcorrea/data_long_junction/minimum_friday151223.pkl') #to save the dataframe, df to *.pkl\\\n", "pd.DataFrame(efficiency).to_pickle('/home/jhcorrea/data_long_junction/efficiency_friday151223.pkl') #to save the dataframe, df to *.pkl\\" ] }, { "cell_type": "code", "execution_count": null, "id": "51888938", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 5 }