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guanjihuan 2021-08-09 19:36:49 +08:00
parent 5d781ae1f3
commit 315cf278a3
3 changed files with 36 additions and 26 deletions
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5
academic_codes/2021.07.29_bands_of_SSH_model_with_two_kinds_of_fourier_transform/bands_of_SSH_model_with_two_kinds_of_fourier_transform.py
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@ -1,3 +1,8 @@
"""
This code is supported by the website: https://www.guanjihuan.com
The newest version of this code is on the web page: https://www.guanjihuan.com/archives/16199
"""
import numpy as np
from math import *
import cmath

19
academic_codes/2021.08.09_flat_bands_of_kagome lattice/flat_bands_of_kagome lattice.py
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@ -1,18 +1,23 @@
"""
This code is supported by the website: https://www.guanjihuan.com
The newest version of this code is on the web page: https://www.guanjihuan.com/archives/16730
"""
import numpy as np
from math import *
import guan
def hamiltonian(kx, ky): # kagome lattice
k1 = kx
k2 = kx/2+ky*sqrt(3)/2
k3 = -kx/2+ky*sqrt(3)/2
k1_dot_a1 = kx
k2_dot_a2 = kx/2+ky*sqrt(3)/2
k3_dot_a3 = -kx/2+ky*sqrt(3)/2
h = np.zeros((3, 3), dtype=complex)
h[0, 1] = cos(k1)
h[0, 2] = cos(k2)
h[1, 2] = cos(k3)
h[0, 1] = 2*cos(k1_dot_a1)
h[0, 2] = 2*cos(k2_dot_a2)
h[1, 2] = 2*cos(k3_dot_a3)
h = h + h.transpose().conj()
t = 1
h = -2*t*h
h = -t*h
return h
kx_array = np.linspace(-pi ,pi, 100)

38
academic_codes/2021.08.09_flat_bands_of_kagome lattice/flat_bands_of_kagome lattice_with_sympy.nb
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@ -10,10 +10,10 @@
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NotebookFileLineBreakTest
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NotebookOutlinePosition[ 2387, 84]
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NotebookDataLength[ 2422, 82]
NotebookOptionsPosition[ 2082, 67]
NotebookOutlinePosition[ 2469, 84]
CellTagsIndexPosition[ 2426, 81]
WindowFrame->Normal*)
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@ -21,16 +21,16 @@ Notebook[{
Cell[BoxData[{
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RowBox[{"k1", "=", "kx"}], ";"}], "\n",
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RowBox[{
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RowBox[{
RowBox[{
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@ -46,27 +46,27 @@ Cell[BoxData[{
RowBox[{
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Notebook[{
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