Source code for triqs.gf.plot.bz_x_x

# Copyright (c) 2016 Commissariat à l'énergie atomique et aux énergies alternatives (CEA)
# Copyright (c) 2016 Centre national de la recherche scientifique (CNRS)
# Copyright (c) 2020 Simons Foundation
#
# This program is free software: you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
# GNU General Public License for more details.
#
# You may obtain a copy of the License at
#     https:#www.gnu.org/licenses/gpl-3.0.txt
#
# Authors: Michel Ferrero, Olivier Parcollet, Nils Wentzell, tayral

from .select_indices import *
#from gf import MeshImFreq, MeshReFreq, MeshImTime, MeshReTime
from scipy.interpolate import griddata
import numpy as np

[docs] def plottable_slice_along_path(self,path, method="cubic"): indices,high_sym=select_path_indices(path,self.mesh.components[0],True) d=np.zeros((len(indices)*len(self.mesh.components[1]),3), np.complex64) i=0 for i_k in range(len(indices)): i_om=0 for w in self.mesh.components[1]: d[i,0] = i_k d[i,1] = w d[i,2] = self.data[indices[i_k],i_om, 0, 0] #print d[i,1].real,d[i,2].imag i+=1 i_om+=1 x = d[:,0] y = d[:,1] z = d[:,2] zmin=np.amin(z.real)+1j*np.amin(z.imag) zmax=np.amax(z.real)+1j*np.amax(z.imag) xi = np.linspace(min(x), max(x),50) yi = np.linspace(min(y), max(y),50) zi = griddata((x, y), z, (xi[None,:], yi[:,None]), method=method) return xi,yi,zi,zmin,zmax,high_sym
[docs] def plot(self, opt_dict): r""" Plot protocol for GfBrillouinZone objects. """ plot_type = opt_dict.pop('type','contourf') method = opt_dict.pop('method', 'nearest') comp = opt_dict.pop('mode', 'R') component= lambda x : x.real if comp=="R" else x.imag if 'MeshImFreq' in str(type(self.mesh.components[1])): Y_label = r"i\omega" elif 'MeshReFreq' in str(type(self.mesh.components[1])): Y_label = r"\omega" elif 'MeshReTime' in str(type(self.mesh.components[1])): Y_label = "t" elif 'MeshImTime' in str(type(self.mesh.components[1])): Y_label = r"\tau" else: Y_label = "X" if 'BrillouinZone' in str(type(self.mesh.components[0])): X_label = r"\mathbf{k}" if 'CyclicLattice' in str(type(self.mesh.components[0])): X_label = r"\mathbf{R}" else: X_label = "X" if plot_type=="contourf": path=opt_dict.pop("path") x,y,z,zmin, zmax, high_sym = plottable_slice_along_path(self,path=path, method=method) xticks_args=([i for i,j in high_sym], ["%1.3f,%1.3f"%(i,j) for i,j in path],) default_dict = {'xdata': x, 'ydata': y, 'label': r'$G_%s$'%X_label, 'xlabel': r'$%s$'%X_label, 'ylabel': r'$%s$'%Y_label, 'zdata' : component(z), 'levels':np.linspace(component(zmin),component(zmax),50), 'plot_function': 'contourf', 'xticks' : xticks_args, 'title': r'$\mathrm{%s}G(%s,%s)$'%('Re' if comp=='R' else 'Im', X_label, Y_label), } else: raise Exception("Unknown plot type %s. Can only be 'contourf' (default)."%plot_type) default_dict.update(opt_dict) return [default_dict]