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Joseph Weston
kwant
Commits
876dd1a6
Commit
876dd1a6
authored
11 years ago
by
Christoph Groth
Browse files
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add check_hermiticity parameter to ldos and wave_function
parent
f72ffa2b
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kwant/solvers/common.py
+20
-14
20 additions, 14 deletions
kwant/solvers/common.py
with
20 additions
and
14 deletions
kwant/solvers/common.py
+
20
−
14
View file @
876dd1a6
...
@@ -91,7 +91,7 @@ class SparseSolver(object):
...
@@ -91,7 +91,7 @@ class SparseSolver(object):
pass
pass
def
_make_linear_sys
(
self
,
sys
,
in_leads
,
energy
=
0
,
args
=
(),
def
_make_linear_sys
(
self
,
sys
,
in_leads
,
energy
=
0
,
args
=
(),
realspace
=
False
,
check_hermiticity
=
True
):
check_hermiticity
=
True
,
realspace
=
False
):
"""
Make a sparse linear system of equations defining a scattering
"""
Make a sparse linear system of equations defining a scattering
problem.
problem.
...
@@ -104,14 +104,14 @@ class SparseSolver(object):
...
@@ -104,14 +104,14 @@ class SparseSolver(object):
Numbers of leads in which current or wave function is injected.
Numbers of leads in which current or wave function is injected.
energy : number
energy : number
Excitation energy at which to solve the scattering problem.
Excitation energy at which to solve the scattering problem.
args : tuple, defaults to empty
Positional arguments to pass to the ``hamiltonian`` method.
check_hermiticity : bool
Check if Hamiltonian matrices are in fact Hermitian.
realspace : bool
realspace : bool
Calculate Green
'
s function between the outermost lead
Calculate Green
'
s function between the outermost lead
sites, instead of lead modes. This is almost always
sites, instead of lead modes. This is almost always
more computationally expensive and less stable.
more computationally expensive and less stable.
check_hermiticity : bool
Check if Hamiltonian matrices are in fact Hermitian.
args : tuple, defaults to empty
Positional arguments to pass to the ``hamiltonian`` method.
Returns
Returns
-------
-------
...
@@ -333,7 +333,7 @@ class SparseSolver(object):
...
@@ -333,7 +333,7 @@ class SparseSolver(object):
raise
ValueError
(
"
No output is requested.
"
)
raise
ValueError
(
"
No output is requested.
"
)
linsys
,
lead_info
=
self
.
_make_linear_sys
(
sys
,
in_leads
,
energy
,
args
,
linsys
,
lead_info
=
self
.
_make_linear_sys
(
sys
,
in_leads
,
energy
,
args
,
False
,
check_hermiticity
)
check_hermiticity
,
False
)
kept_vars
=
np
.
concatenate
([
vars
for
i
,
vars
in
kept_vars
=
np
.
concatenate
([
vars
for
i
,
vars
in
enumerate
(
linsys
.
indices
)
if
i
in
enumerate
(
linsys
.
indices
)
if
i
in
...
@@ -416,7 +416,7 @@ class SparseSolver(object):
...
@@ -416,7 +416,7 @@ class SparseSolver(object):
raise
ValueError
(
"
No output is requested.
"
)
raise
ValueError
(
"
No output is requested.
"
)
linsys
,
lead_info
=
self
.
_make_linear_sys
(
sys
,
in_leads
,
energy
,
args
,
linsys
,
lead_info
=
self
.
_make_linear_sys
(
sys
,
in_leads
,
energy
,
args
,
True
,
check_hermiticity
)
check_hermiticity
,
True
)
kept_vars
=
np
.
concatenate
([
vars
for
i
,
vars
in
kept_vars
=
np
.
concatenate
([
vars
for
i
,
vars
in
enumerate
(
linsys
.
indices
)
if
i
in
enumerate
(
linsys
.
indices
)
if
i
in
...
@@ -437,7 +437,7 @@ class SparseSolver(object):
...
@@ -437,7 +437,7 @@ class SparseSolver(object):
return
GreensFunction
(
data
,
lead_info
,
out_leads
,
in_leads
)
return
GreensFunction
(
data
,
lead_info
,
out_leads
,
in_leads
)
def
ldos
(
self
,
f
sys
,
energy
=
0
,
args
=
()):
def
ldos
(
self
,
sys
,
energy
=
0
,
args
=
()
,
check_hermiticity
=
True
):
"""
"""
Calculate the local density of states of a system at a given energy.
Calculate the local density of states of a system at a given energy.
...
@@ -451,20 +451,23 @@ class SparseSolver(object):
...
@@ -451,20 +451,23 @@ class SparseSolver(object):
args : tuple of arguments, or empty tuple
args : tuple of arguments, or empty tuple
Positional arguments to pass to the function(s) which
Positional arguments to pass to the function(s) which
evaluate the hamiltonian matrix elements
evaluate the hamiltonian matrix elements
check_hermiticity : ``bool``
Check if the Hamiltonian matrices are Hermitian.
Returns
Returns
-------
-------
ldos : a NumPy array
ldos : a NumPy array
Local density of states at each orbital of the system.
Local density of states at each orbital of the system.
"""
"""
for
lead
in
f
sys
.
leads
:
for
lead
in
sys
.
leads
:
if
not
hasattr
(
lead
,
'
modes
'
):
if
not
hasattr
(
lead
,
'
modes
'
):
# TODO: fix this
# TODO: fix this
raise
NotImplementedError
(
"
ldos for leads with only
"
raise
NotImplementedError
(
"
ldos for leads with only
"
"
self-energy is not implemented yet
"
)
"
self-energy is not implemented yet
"
)
linsys
,
lead_info
=
\
linsys
,
lead_info
=
\
self
.
_make_linear_sys
(
fsys
,
xrange
(
len
(
fsys
.
leads
)),
energy
,
args
)
self
.
_make_linear_sys
(
sys
,
xrange
(
len
(
sys
.
leads
)),
energy
,
args
,
check_hermiticity
)
ldos
=
np
.
zeros
(
linsys
.
num_orb
,
float
)
ldos
=
np
.
zeros
(
linsys
.
num_orb
,
float
)
factored
=
None
factored
=
None
...
@@ -486,7 +489,7 @@ class SparseSolver(object):
...
@@ -486,7 +489,7 @@ class SparseSolver(object):
return
ldos
*
(
0.5
/
np
.
pi
)
return
ldos
*
(
0.5
/
np
.
pi
)
def
wave_function
(
self
,
sys
,
energy
=
0
,
args
=
()):
def
wave_function
(
self
,
sys
,
energy
=
0
,
args
=
()
,
check_hermiticity
=
True
):
"""
"""
Return a callable object for the computation of the wave function
Return a callable object for the computation of the wave function
inside the scattering region.
inside the scattering region.
...
@@ -499,6 +502,8 @@ class SparseSolver(object):
...
@@ -499,6 +502,8 @@ class SparseSolver(object):
args : tuple of arguments, or empty tuple
args : tuple of arguments, or empty tuple
Positional arguments to pass to the function(s) which
Positional arguments to pass to the function(s) which
evaluate the hamiltonian matrix elements
evaluate the hamiltonian matrix elements
check_hermiticity : ``bool``
Check if the Hamiltonian matrices are Hermitian.
Notes
Notes
-----
-----
...
@@ -513,11 +518,11 @@ class SparseSolver(object):
...
@@ -513,11 +518,11 @@ class SparseSolver(object):
>>>
wf
=
kwant
.
solvers
.
default
.
wave_function
(
some_sys
,
some_energy
)
>>>
wf
=
kwant
.
solvers
.
default
.
wave_function
(
some_sys
,
some_energy
)
>>>
wfs_of_lead_2
=
wf
(
2
)
>>>
wfs_of_lead_2
=
wf
(
2
)
"""
"""
return
WaveFunction
(
self
,
sys
,
energy
,
args
)
return
WaveFunction
(
self
,
sys
,
energy
,
args
,
check_hermiticity
)
class
WaveFunction
(
object
):
class
WaveFunction
(
object
):
def
__init__
(
self
,
solver
,
sys
,
energy
=
0
,
args
=
()
):
def
__init__
(
self
,
solver
,
sys
,
energy
,
args
,
check_hermiticity
):
for
lead
in
sys
.
leads
:
for
lead
in
sys
.
leads
:
if
not
hasattr
(
lead
,
'
modes
'
):
if
not
hasattr
(
lead
,
'
modes
'
):
# TODO: figure out what to do with self-energies.
# TODO: figure out what to do with self-energies.
...
@@ -525,7 +530,8 @@ class WaveFunction(object):
...
@@ -525,7 +530,8 @@ class WaveFunction(object):
'
are not available yet.
'
'
are not available yet.
'
raise
NotImplementedError
(
msg
)
raise
NotImplementedError
(
msg
)
linsys
,
lead_info
=
\
linsys
,
lead_info
=
\
solver
.
_make_linear_sys
(
sys
,
xrange
(
len
(
sys
.
leads
)),
energy
,
args
)
solver
.
_make_linear_sys
(
sys
,
xrange
(
len
(
sys
.
leads
)),
energy
,
args
,
check_hermiticity
)
self
.
solve
=
solver
.
_solve_linear_sys
self
.
solve
=
solver
.
_solve_linear_sys
self
.
rhs
=
linsys
.
rhs
self
.
rhs
=
linsys
.
rhs
self
.
factorized_h
=
solver
.
_factorized
(
linsys
.
lhs
)
self
.
factorized_h
=
solver
.
_factorized
(
linsys
.
lhs
)
...
...
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