{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "13ef5e2a",
   "metadata": {},
   "outputs": [],
   "source": [
    "from numpy import *\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "import copy\n",
    "from scipy.optimize import curve_fit\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a6ab3a7f-920d-46a1-b8b1-9a1b9db3f367",
   "metadata": {},
   "outputs": [],
   "source": [
    "#for determining the degeneracies (need to have triqs installed, otherwise skip this box)\n",
    "from triqs.gf import *\n",
    "from triqs.operators import *\n",
    "from triqs.operators.util.hamiltonians import h_int_kanamori\n",
    "from h5 import HDFArchive\n",
    "from triqs.atom_diag import *\n",
    "from numpy import*\n",
    "import triqs.operators.util as op\n",
    "from itertools import product\n",
    "n_orbs = 5\n",
    "U = 2.4\n",
    "J = 0.2*U\n",
    "CF = 2.5\n",
    "spin_names = ('up','down')\n",
    "spin_names_2 = ('up','down')\n",
    "orb_names = [i for i in range(n_orbs)]  # Orbital indices\n",
    "# Set of fundamental operators\n",
    "fops = [(sn+\"_\"+str(on),0) for sn, on in product(spin_names,orb_names)]\n",
    "\n",
    "\n",
    "off_diag = False  \n",
    "gf_struct = op.set_operator_structure(spin_names_2,n_orbs,off_diag=off_diag)\n",
    "Umat, Uprimemat = op.U_matrix_kanamori(n_orbs,U,J)\n",
    "H = op.h_int_kanamori(spin_names,orb_names,U=Umat,Uprime=Uprimemat,J_hund=J,off_diag=off_diag)\n",
    "H += (CF) * ( n('up_0',0) + n('down_0',0) +n('up_1',0) + n('down_1',0)) #change if necessary\n",
    "\n",
    "ad = AtomDiag(H, fops, n_min=4, n_max=4)\n",
    "print(ad)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5a6de44b-14d5-4e62-8d9f-4b95196b75e3",
   "metadata": {},
   "outputs": [],
   "source": [
    "#get data (but there's also a hard copy below)\n",
    "#filename, read in, get Sz, calculate sus\n",
    "filename = \"3orb_U5.0_b40.h5\"\n",
    "def get_susz(filename):\n",
    "    with HDFArchive(filename,'r') as B:\n",
    "                Sz = B[\"Sz\"]\n",
    "    mesh_list = [i.value for i in Sz.mesh]\n",
    "    Sz_list = [real(Sz(i)) for i in mesh_list]\n",
    "    integral = np.trapz(Sz_list, mesh_list)\n",
    "    return integral"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "fd2dd5eb",
   "metadata": {},
   "outputs": [],
   "source": [
    "#hardcopy data\n",
    "\n",
    "#2+1 model:\n",
    "beta21 = array([10,11, 12, 13,15,17, 20,22,25,30,35, 40, 60,100])\n",
    "sus21 = array([4.747760807602069, 5.0305020579191435, 5.297279624630664, 5.537866811252879, 5.944872826572286, 6.224653730122698, 6.309448896928958, 6.147434632451556, 5.93716563557339, 5.6431308609086415, 5.448763192267044, 5.294983133168713, 5.246544976661319, 5.383529968894044])\n",
    "sus2 = array([2.2757338787963874, 2.4730074261185813, 2.6720331193998677, 2.846450920202263, 3.1689491888475834, 3.430097589512071, 3.710759565303565, 3.867372100565114, 4.0527155207356635, 4.2650212535163465, 4.47252726182869, 4.578721756751067, 4.922935076094866, 5.019506760336806])\n",
    "\n",
    "\n",
    "\n",
    "#3+2N4\n",
    "beta32N4 = array([10, 12, 15, 20, 30, 40, 50, 100])\n",
    "sus3N4 =  array([5.0042610052120295, 5.711758586608173, 6.6473067380223565, 8.059050890237499, 10.263618846067226, 11.926162131261988, 13.185957840546212, 16.48771641622969])\n",
    "sus32N4 =  array([6.8650351252634305, 7.362860090848999, 8.02289337911244, 8.970407551875555, 10.69516909763463, 11.96603198235372, 13.215619215232381, 16.557435825667945])\n",
    "\n",
    "#3+2N5\n",
    "beta32N5 = array([10, 12, 15, 20, 30, 50])\n",
    "sus3N5 =  array([1.41577371, 1.5075277,  1.61296074, 1.72130031, 1.82083303, 1.89333095])\n",
    "sus32N5 =  array([3.32490691, 2.96662796, 2.44478072, 1.95239499, 1.91390637, 1.90252795])\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "107c3fbd",
   "metadata": {},
   "outputs": [],
   "source": [
    "#general expression\n",
    "\n",
    "def chi(T, b, CF, s2, S2, c, c1):\n",
    "    return (c*s2/(T+b)+(c1*((S2)/T)*exp(-CF/T)))/(c+c1*exp(-CF/T))  \n",
    " \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "74cec7e8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams.update({'font.size': 27})\n",
    "plt.figure()    \n",
    "fig, axs = plt.subplots(2,1, figsize=(10, 7), sharex = True)\n",
    "\n",
    "T = linspace(1/beta21[-1], 1/beta21[0], 100)\n",
    "\n",
    "def chi_21(T, b, CF):\n",
    "    return chi(T, b, CF, 1/4, 5/4, 4, 4)\n",
    "\n",
    "\n",
    "params21, _ = curve_fit(chi_21, 1/beta21, sus21, p0 = [0.05, 0.1])\n",
    "\n",
    "\n",
    "axs[0].plot(T, chi_21(T, *params21), color = \"C1\", label = None)\n",
    "axs[0].plot(1/beta21, sus2, \"^\",label = \"2 orb\", color = \"C3\")     \n",
    "axs[0].plot(1/beta21, sus21, \"s\",label = \"2+1 orb\", color = \"C4\")\n",
    "\n",
    "axs[1].plot(T, chi_21(T, *params21)*T, color = \"C1\", label = None)\n",
    "axs[1].plot(1/beta21, sus2/beta21, \"^\",label = \"2 orb\", color = \"C3\")     \n",
    "axs[1].plot(1/beta21, sus21/beta21, \"s\",label = \"2+1 orb\", color = \"C4\")\n",
    "\n",
    "\n",
    "#axs[0].legend(fontsize = 24)\n",
    "axs[0].set_ylabel(r\"\"\"$\\chi_\\mathrm{loc}$\"\"\")#, fontsize = 17)\n",
    "\n",
    "axs[1].set_xlabel(r\"\"\"$T$\"\"\")#, fontsize = 17)\n",
    "axs[1].set_ylabel(r\"\"\"$\\mu_\\mathrm{s}$\"\"\")#, fontsize = 17)   \n",
    "axs[0].legend(fontsize = 24, labelspacing=0.5, borderpad=0.2)#, loc = (0.64, 0.22))\n",
    "\n",
    "\n",
    "axs[0].text(0.007, 5.8, \"a)\", fontsize = 30)\n",
    "axs[1].text(0.007, 1.05, \"b)\", fontsize = 30)\n",
    "\n",
    "\n",
    "axs[1].plot([0.01, 0.1], [1.25, 1.25], \"--\", color = \"C2\", label = \"High spin\")\n",
    "axs[1].plot([0.01, 0.1], [0.25, 0.25], \"--\", color = \"C3\", label = \"Low spin\")\n",
    "\n",
    "axs[1].legend(fontsize = 24, ncol=2, loc = (0.3, 0.48), labelspacing=0.5, borderpad=0.2)\n",
    "fig.tight_layout(pad = 0.4)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "c1af0c62",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x700 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#3+2 orb model\n",
    "plt.figure()    \n",
    "plt.rcParams.update({'font.size': 24})\n",
    "\n",
    "fig, axs = plt.subplots(2,2, figsize=(10, 7), sharex = True)\n",
    "\n",
    "\n",
    "T = linspace(1/beta32N4[-1], 1/beta32N4[0], 100)\n",
    "\n",
    "\n",
    "def chi_32N4(T, b, CF):\n",
    "    return chi(T, b, CF, 2/3, 4, 9, 10)  \n",
    "def chi_32N5(T, b, CF):\n",
    "    return chi(T, b, CF, 1/4, 35/12, 6, 6)\n",
    "\n",
    "params32N4, _ = curve_fit(chi_32N4, 1/beta32N4, sus32N4, p0 = [0.05, 0.1])\n",
    "params32N5, _ = curve_fit(chi_32N5, 1/beta32N5, sus32N5, p0 = [0.05, 0.1])\n",
    "\n",
    "\n",
    "axs[0][0].plot(T, chi_32N4(T, *params32N4), color = \"C1\")\n",
    "axs[0][1].plot(T, chi_32N5(T, *params32N5), color = \"C1\")\n",
    "\n",
    "axs[0][0].plot(1/beta32N4, sus3N4, \"o\", label = \"3 orb\", color = \"C3\")\n",
    "axs[0][0].plot(1/beta32N4, sus32N4, \"d\", label = \"3+2 orb\", color = \"C4\")\n",
    "axs[0][1].plot(1/beta32N5, sus3N5, \"o\", label = \"3 orb\", color = \"C3\")\n",
    "axs[0][1].plot(1/beta32N5, sus32N5, \"d\", label = \"3+2 orb\", color = \"C4\")\n",
    "\n",
    "axs[1][0].plot(T, chi_32N4(T, *params32N4)*T, color = \"C1\")\n",
    "axs[1][1].plot(T, chi_32N5(T, *params32N5)*T, color = \"C1\")\n",
    "\n",
    "axs[1][0].plot(1/beta32N4, sus3N4/beta32N4, \"o\", label = \"3 orb\", color = \"C3\")\n",
    "axs[1][0].plot(1/beta32N4, sus32N4/beta32N4, \"d\", label = \"3+2 orb\", color = \"C4\")\n",
    "axs[1][1].plot(1/beta32N5, sus3N5/beta32N5, \"o\", label = \"3 orb\", color = \"C3\")\n",
    "axs[1][1].plot(1/beta32N5, sus32N5/beta32N5, \"d\", label = \"3+2 orb\", color = \"C4\")\n",
    "\n",
    "\n",
    "axs[0][0].set_ylabel(r\"\"\"$\\chi_\\mathrm{loc}$\"\"\", fontsize = 27)\n",
    "\n",
    "axs[1][0].set_xlabel(r\"\"\"$T$\"\"\", fontsize = 27)\n",
    "axs[1][1].set_xlabel(r\"\"\"$T$\"\"\", fontsize = 27)\n",
    "axs[1][0].set_ylabel(r\"\"\"$\\mu_\\mathrm{s}$\"\"\", fontsize = 27)  \n",
    "\n",
    "pos = [0.2, 0.1]\n",
    "axs[0][0].text(0.01, 5.6, \"N = 4\", fontsize = 24)\n",
    "axs[0][1].text(0.01, 1.5, \"N = 5\", fontsize = 24)\n",
    "axs[1][0].text(0.07, 0.2, \"N = 4\", fontsize = 24)\n",
    "axs[1][1].text(0.07, 0.04, \"N = 5\", fontsize = 24)\n",
    "\n",
    "axs[0][0].text(0.01, 15, \"a)\", fontsize = 30)\n",
    "axs[1][0].text(0.01, 0.62, \"b)\", fontsize = 30)\n",
    "axs[0][1].text(0.01, 3.05, \"c)\", fontsize = 30)\n",
    "axs[1][1].text(0.01, 0.295, \"d)\", fontsize = 30)\n",
    "\n",
    "axs[0][0].legend(fontsize = 24, labelspacing=0.3, borderpad=0.1)\n",
    "\n",
    "plt.tight_layout(pad=0.4)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "38091895",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f4747066",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "4e0798cb",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ff1cbc1a-bd55-4bb1-b3ef-6502cd85d352",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "796fc7aa",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "2cf746f9",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5dd48fb2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "443c86b5",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "70a40a1a",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "28b454c2",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "1232ff76",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6b365c36",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "670a4d1b",
   "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": "3.12.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
