viennashe::physics::parabolic_dispersion< MaterialType > Class Template Reference

Parabolic dispersion relation (spherically symmetric) More...

#include <dispersion.hpp>

Inheritance diagram for viennashe::physics::parabolic_dispersion< MaterialType >:

Public Member Functions
	parabolic_dispersion (viennashe::carrier_type_id ctype)
double	norm_k (double energy, double theta=0, double phi=0) const
	Returns the norm of the k-vector as a function of energy (and angles, eventually). Not possible for all dispersion relations. More...
double	density_of_states (double eps, double theta=0, double phi=0) const
	Total generalized density of states for one spin direction, considering six-fold symmetry. More...
double	velocity (double eps, double theta=0, double phi=0) const
	Carrier group velocity. More...
dispersion_base *	clone () const
	Clones the dispersion relation. User must ensure that the returned copy is deleted. More...
double	symmetry_factor () const
	Returns the number of symmetric bands in k-space. More...
Public Member Functions inherited from viennashe::physics::dispersion_base
virtual double	density_of_states (double ekin, double theta=0, double phi=0) const =0
	Returns the density of states as a function of kinetic energy (and angles, eventually) More...
virtual double	velocity (double ekin, double theta=0, double phi=0) const =0
	Returns the group velocity as a function of kinetic energy (and angles, eventually) More...
virtual double	norm_k (double ekin, double theta=0, double phi=0) const =0
	Returns the norm of the k-vector as a function of energy (and angles, eventually). Not possible for all dispersion relations. More...
virtual bool	is_isotropic () const
	Returns true if the dispersion relation is isotropic. More...
virtual dispersion_base *	clone () const =0
	Clones the dispersion relation. User must ensure that the returned copy is deleted. More...
virtual double	symmetry_factor () const =0
virtual	~dispersion_base ()

Detailed Description

template<typename MaterialType>
class viennashe::physics::parabolic_dispersion< MaterialType >

Parabolic dispersion relation (spherically symmetric)

eps = hbar^2 k^2 / (2 m)

Template Parameters

MaterialType

A class for the material

Definition at line 116 of file dispersion.hpp.

Constructor & Destructor Documentation

parabolic_dispersion()

template<typename MaterialType >

viennashe::physics::parabolic_dispersion< MaterialType >::parabolic_dispersion ( viennashe::carrier_type_id  ctype )

inline

Definition at line 121 of file dispersion.hpp.

Member Function Documentation

clone()

template<typename MaterialType >

dispersion_base * viennashe::physics::parabolic_dispersion< MaterialType >::clone ( ) const

inlinevirtual

Clones the dispersion relation. User must ensure that the returned copy is deleted.

Implements viennashe::physics::dispersion_base.

Definition at line 185 of file dispersion.hpp.

density_of_states()

template<typename MaterialType >

double viennashe::physics::parabolic_dispersion< MaterialType >::density_of_states ( double  eps, double  theta = 0, double  phi = 0  ) const

inlinevirtual

Total generalized density of states for one spin direction, considering six-fold symmetry.

Since other models may allow for an additional angular dependency, the expression differs by a factor of 4*PI from the conventional expression (4*PI is just the area of the unit sphere)

Parameters

eps	The energy (relative to the band edge) for which the generalized DOS should be evaluated
theta	Inclination
phi	Azimuth

Implements viennashe::physics::dispersion_base.

Definition at line 151 of file dispersion.hpp.

norm_k()

template<typename MaterialType >

double viennashe::physics::parabolic_dispersion< MaterialType >::norm_k ( double  energy, double  theta = 0, double  phi = 0  ) const

inlinevirtual

Returns the norm of the k-vector as a function of energy (and angles, eventually). Not possible for all dispersion relations.

Implements viennashe::physics::dispersion_base.

Definition at line 132 of file dispersion.hpp.

symmetry_factor()

template<typename MaterialType >

double viennashe::physics::parabolic_dispersion< MaterialType >::symmetry_factor ( ) const

inlinevirtual

Returns the number of symmetric bands in k-space.

Implements viennashe::physics::dispersion_base.

Definition at line 188 of file dispersion.hpp.

velocity()

template<typename MaterialType >

double viennashe::physics::parabolic_dispersion< MaterialType >::velocity ( double  eps, double  theta = 0, double  phi = 0  ) const

inlinevirtual

Carrier group velocity.

Parameters

eps	The energy (relative to the band edge) for which the velocity should be evaluated
theta	Inclination
phi	Azimuth

Implements viennashe::physics::dispersion_base.

Definition at line 172 of file dispersion.hpp.

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The documentation for this class was generated from the following file:

• viennashe/physics/dispersion.hpp