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Quantum Tinkerer
MeanFi
Commits
ce43cd8a
Commit
ce43cd8a
authored
11 months ago
by
Johanna Zijderveld
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move and delete for sure unused functions
parent
fd3214e0
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1 merge request
!4
Interface refactoring
Changes
2
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2 changed files
codes/kwant_helper/utils.py
+0
-166
0 additions, 166 deletions
codes/kwant_helper/utils.py
codes/tb/transforms.py
+47
-0
47 additions, 0 deletions
codes/tb/transforms.py
with
47 additions
and
166 deletions
codes/kwant_helper/utils.py
+
0
−
166
View file @
ce43cd8a
...
...
@@ -146,93 +146,6 @@ def builder2h_0(builder, params={}, return_data=False):
return
h_0
def
model2hk
(
h_0
):
"""
Build Bloch Hamiltonian.
Paramters:
----------
nk : int
Number of k-points along each direction.
h_0 : dictionary
Must have the following structure:
- Keys are tuples for each hopping vector (in units of lattice vectors).
- Values are hopping matrices.
return_ks : bool
Return k-points.
Returns:
--------
ham : nd.array
Hamiltonian evaluated on a k-point grid from k-points
along each direction evaluated from zero to 2*pi.
The indices are ordered as [k_1, ... , k_n, i, j], where
`k_m` corresponding to the k-point element along each
direction and `i` and `j` are the internal degrees of freedom.
ks : 1D-array
List of k-points over all directions. Only returned if `return_ks=True`.
Returns:
--------
bloch_ham : function
Evaluates the Hamiltonian at a given k-point.
"""
assert
(
len
(
next
(
iter
(
h_0
)))
>
0
),
"
Zero-dimensional system. The Hamiltonian is simply h_0[()].
"
def
bloch_ham
(
k
):
ham
=
0
for
vector
in
h_0
.
keys
():
ham
+=
h_0
[
vector
]
*
np
.
exp
(
-
1j
*
np
.
dot
(
k
,
np
.
array
(
vector
,
dtype
=
float
)))
return
ham
return
bloch_ham
def
kgrid_hamiltonian
(
nk
,
hk
,
dim
,
return_ks
=
False
,
hermitian
=
True
):
"""
Evaluates Hamiltonian on a k-point grid.
Paramters:
----------
nk : int
Number of k-points along each direction.
hk : function
Calculates the Hamiltonian at a given k-point.
return_ks : bool
If `True`, returns k-points.
Returns:
--------
ham : nd.array
Hamiltonian evaluated on a k-point grid from k-points
along each direction evaluated from zero to 2*pi.
The indices are ordered as [k_1, ... , k_n, i, j], where
`k_m` corresponding to the k-point element along each
direction and `i` and `j` are the internal degrees of freedom.
ks : 1D-array
List of k-points over all directions. Only returned if `return_ks=True`.
"""
ks
=
2
*
np
.
pi
*
np
.
linspace
(
0
,
1
,
nk
,
endpoint
=
False
)
k_pts
=
np
.
tile
(
ks
,
dim
).
reshape
(
dim
,
nk
)
ham
=
[]
for
k
in
product
(
*
k_pts
):
ham
.
append
(
hk
(
k
))
ham
=
np
.
array
(
ham
)
if
hermitian
:
assert
np
.
allclose
(
ham
,
np
.
transpose
(
ham
,
(
0
,
2
,
1
)).
conj
()
),
"
Tight-binding provided is non-Hermitian. Not supported yet
"
shape
=
(
*
[
nk
]
*
dim
,
ham
.
shape
[
-
1
],
ham
.
shape
[
-
1
])
if
return_ks
:
return
ham
.
reshape
(
*
shape
),
ks
else
:
return
ham
.
reshape
(
*
shape
)
def
build_interacting_syst
(
builder
,
lattice
,
func_onsite
,
func_hop
,
max_neighbor
=
1
):
"""
Construct an auxiliary `kwant` system to build Hamiltonian matrix.
...
...
@@ -311,53 +224,6 @@ def generate_vectors(cutoff, dim):
return
[
*
product
(
*
([[
*
range
(
-
cutoff
,
cutoff
+
1
)]]
*
dim
))]
def
hk2h_0
(
hk
,
hopping_vecs
,
ks
=
None
):
"""
Extract hopping matrices from Bloch Hamiltonian.
Parameters:
-----------
hk : nd-array
Bloch Hamiltonian matrix hk[k_x, ..., k_n, i, j]
h_0 : dict
Tight-binding model of non-interacting systems.
h_int : dict
Tight-binding model for interacting Hamiltonian.
ks : 1D-array
Set of k-points. Repeated for all directions. If the system is finite, `ks=None`.
Returns:
--------
scf_model : dict
TIght-binding model of Hartree-Fock solution.
"""
if
ks
is
not
None
:
ndim
=
len
(
hk
.
shape
)
-
2
dk
=
np
.
diff
(
ks
)[
0
]
nk
=
len
(
ks
)
k_pts
=
np
.
tile
(
ks
,
ndim
).
reshape
(
ndim
,
nk
)
k_grid
=
np
.
array
(
np
.
meshgrid
(
*
k_pts
))
k_grid
=
k_grid
.
reshape
(
k_grid
.
shape
[
0
],
np
.
prod
(
k_grid
.
shape
[
1
:]))
hk
=
hk
.
reshape
(
np
.
prod
(
hk
.
shape
[:
ndim
]),
*
hk
.
shape
[
-
2
:])
hopps
=
(
np
.
einsum
(
"
ij,jkl->ikl
"
,
np
.
exp
(
1j
*
np
.
einsum
(
"
ij,jk->ik
"
,
hopping_vecs
,
k_grid
)),
hk
,
)
*
(
dk
/
(
2
*
np
.
pi
))
**
ndim
)
h_0
=
{}
for
i
,
vector
in
enumerate
(
hopping_vecs
):
h_0
[
tuple
(
vector
)]
=
hopps
[
i
]
return
h_0
else
:
return
{():
hk
}
def
calc_gap
(
vals
,
E_F
):
"""
Compute gap.
...
...
@@ -377,35 +243,3 @@ def calc_gap(vals, E_F):
emax
=
np
.
max
(
vals
[
vals
<=
E_F
])
emin
=
np
.
min
(
vals
[
vals
>
E_F
])
return
np
.
abs
(
emin
-
emax
)
def
matrix_to_flat
(
matrix
):
"""
Flatten the upper triangle of a collection of matrices.
Parameters:
-----------
matrix : nd-array
Array with shape (..., n, n)
"""
return
matrix
[...,
*
np
.
triu_indices
(
matrix
.
shape
[
-
1
])].
flatten
()
def
flat_to_matrix
(
flat
,
shape
):
"""
Undo `matrix_to_flat`.
Parameters:
-----------
flat : 1d-array
Output from `matrix_to_flat`.
shape : 1d-array
Shape of the input from `matrix_to_flat`.
"""
matrix
=
np
.
zeros
(
shape
,
dtype
=
complex
)
matrix
[...,
*
np
.
triu_indices
(
shape
[
-
1
])]
=
flat
.
reshape
(
*
shape
[:
-
2
],
-
1
)
indices
=
np
.
arange
(
shape
[
-
1
])
diagonal
=
matrix
[...,
indices
,
indices
]
matrix
+=
np
.
moveaxis
(
matrix
,
-
1
,
-
2
).
conj
()
matrix
[...,
indices
,
indices
]
-=
diagonal
return
matrix
\ No newline at end of file
This diff is collapsed.
Click to expand it.
codes/tb/transforms.py
+
47
−
0
View file @
ce43cd8a
...
...
@@ -171,3 +171,50 @@ def kfunc2tb(kfunc, nSamples, ndim=1):
raise
NotImplementedError
(
"
n > 2 not implemented
"
)
ifftnArray
=
ifftn
(
kfuncOnGrid
,
axes
=
np
.
arange
(
ndim
))
return
ifftn2tb
(
ifftnArray
)
def
hk2h_0
(
hk
,
hopping_vecs
,
ks
=
None
):
"""
Extract hopping matrices from Bloch Hamiltonian.
Parameters:
-----------
hk : nd-array
Bloch Hamiltonian matrix hk[k_x, ..., k_n, i, j]
h_0 : dict
Tight-binding model of non-interacting systems.
h_int : dict
Tight-binding model for interacting Hamiltonian.
ks : 1D-array
Set of k-points. Repeated for all directions. If the system is finite, `ks=None`.
Returns:
--------
scf_model : dict
TIght-binding model of Hartree-Fock solution.
"""
if
ks
is
not
None
:
ndim
=
len
(
hk
.
shape
)
-
2
dk
=
np
.
diff
(
ks
)[
0
]
nk
=
len
(
ks
)
k_pts
=
np
.
tile
(
ks
,
ndim
).
reshape
(
ndim
,
nk
)
k_grid
=
np
.
array
(
np
.
meshgrid
(
*
k_pts
))
k_grid
=
k_grid
.
reshape
(
k_grid
.
shape
[
0
],
np
.
prod
(
k_grid
.
shape
[
1
:]))
hk
=
hk
.
reshape
(
np
.
prod
(
hk
.
shape
[:
ndim
]),
*
hk
.
shape
[
-
2
:])
hopps
=
(
np
.
einsum
(
"
ij,jkl->ikl
"
,
np
.
exp
(
1j
*
np
.
einsum
(
"
ij,jk->ik
"
,
hopping_vecs
,
k_grid
)),
hk
,
)
*
(
dk
/
(
2
*
np
.
pi
))
**
ndim
)
h_0
=
{}
for
i
,
vector
in
enumerate
(
hopping_vecs
):
h_0
[
tuple
(
vector
)]
=
hopps
[
i
]
return
h_0
else
:
return
{():
hk
}
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