Class spinnlessTwoLead

• Defined in File spinlessTwoLead.hpp

Class Documentation

class spinnlessTwoLead

Represents a spinless two-lead model.

This class models a system with one spinless orbital coupled to two leads. It is a simplified model often used to study transport properties in quantum dots. The model only conserves charge.

The constructor builds the fermion basis, sets up operators, and diagonalizes the local Hamiltonian for each charge sector.

Public Functions

inline explicit spinnlessTwoLead(double teps = 0)

Constructs a spinnlessTwoLead object.

Initializes the basis and operators for a spinless two-lead model.

Parameters:

teps – The onsite energy of the orbital.

inline std::vector<std::vector<int>> get_basis() const

Get the basis quantum numbers for all eigenstates.

Returns the sector basis n_Q as a list of charge vectors. For spinnlessTwoLead, each inner vector corresponds to a unique charge configuration used by the fermionBasis blocking.

Returns:

A vector of vectors, where each inner vector represents the quantum numbers of a state.

inline std::vector<std::vector<double>> get_eigenvaluesQ() const

Get the ground state energy for each quantum number sector.

Returns eigenvalues of the local Hamiltonian for each n_Q sector. The outer vector index matches the Q sector from get_basis().

Returns:

A vector of vectors, where each inner vector contains the eigenvalues for a quantum number sector.

inline std::vector<double> get_chi_Q() const

Get the fermion parity factor for each quantum number sector.

Returns (-1)^N for each sector, where N is the total particle number.

Returns:

A vector of doubles, where each element is the fermion parity sign for a quantum number sector.

Public Members

std::vector<qOperator> f_dag_operator

Fermion creation operators f† in the quantum-number block basis.

std::vector<std::vector<double>> eigenvalues_Q

Eigenvalues of the Hamiltonian in each quantum number sector.

std::vector<double> chi_Q

Fermion parity sign for each basis quantum number sector.

std::vector<std::vector<int>> n_Q

Quantum numbers labeling each Hamiltonian block.