Functions | |
| RealExpr | Pomerol::LatticePresets::BosonLevel (std::string const &Label, RealType Eps, unsigned short ExtraIndex) |
| ComplexExpr | Pomerol::LatticePresets::BosonLevel (std::string const &Label, ComplexType Eps, unsigned short ExtraIndex) |
| RealExpr | Pomerol::LatticePresets::BosonInteraction (std::string const &Label, RealType U, unsigned short ExtraIndex) |
| ComplexExpr | Pomerol::LatticePresets::BosonInteraction (std::string const &Label, ComplexType U, unsigned short ExtraIndex) |
| RealExpr | Pomerol::LatticePresets::HolsteinInteraction (std::string const &Label, RealType Lambda, unsigned short Orbital, unsigned short BosonExtraIndex) |
| ComplexExpr | Pomerol::LatticePresets::HolsteinInteraction (std::string const &Label, ComplexType Lambda, unsigned short Orbital, unsigned short BosonExtraIndex) |
Detailed Description
Function Documentation
◆ BosonInteraction() [1/2]
| ComplexExpr Pomerol::LatticePresets::BosonInteraction | ( | std::string const & | Label, |
| ComplexType | U, | ||
| unsigned short | ExtraIndex | ||
| ) |
Make a bosonic interaction term \(\frac{U}{2}a^{\dagger}_{i\alpha} a_{i\alpha} (a^{\dagger}_{i\alpha} a_{i\alpha} - 1)\) with a complex interaction strength \(U\).
- Parameters
-
[in] Label Site label \(i\). [in] U Interaction constant \(U\). [in] ExtraIndex Additional index \(\alpha\).
◆ BosonInteraction() [2/2]
| RealExpr Pomerol::LatticePresets::BosonInteraction | ( | std::string const & | Label, |
| RealType | U, | ||
| unsigned short | ExtraIndex | ||
| ) |
Make a bosonic interaction term \(\frac{U}{2}a^{\dagger}_{i\alpha} a_{i\alpha} (a^{\dagger}_{i\alpha} a_{i\alpha} - 1)\) with a real interaction strength \(U\).
- Parameters
-
[in] Label Site label \(i\). [in] U Interaction constant \(U\). [in] ExtraIndex Additional index \(\alpha\).
◆ BosonLevel() [1/2]
| ComplexExpr Pomerol::LatticePresets::BosonLevel | ( | std::string const & | Label, |
| ComplexType | Eps, | ||
| unsigned short | ExtraIndex | ||
| ) |
Make a single energy level term \(\varepsilon a^{\dagger}_{i\alpha} a_{i\alpha}\) for a boson on a given site with a given additional index.
- Parameters
-
[in] Label Site label \(i\). [in] Eps Complex energy level \(\varepsilon\). [in] ExtraIndex Additional index \(\alpha\).
◆ BosonLevel() [2/2]
| RealExpr Pomerol::LatticePresets::BosonLevel | ( | std::string const & | Label, |
| RealType | Eps, | ||
| unsigned short | ExtraIndex | ||
| ) |
Make a single energy level term \(\varepsilon a^{\dagger}_{i\alpha} a_{i\alpha}\) for a boson on a given site with a given additional index.
- Parameters
-
[in] Label Site label \(i\). [in] Eps Real energy level \(\varepsilon\). [in] ExtraIndex Additional index \(\alpha\).
◆ HolsteinInteraction() [1/2]
| ComplexExpr Pomerol::LatticePresets::HolsteinInteraction | ( | std::string const & | Label, |
| ComplexType | Lambda, | ||
| unsigned short | Orbital, | ||
| unsigned short | BosonExtraIndex | ||
| ) |
Make a Holstein fermion-boson coupling term of the following form,
\[ \lambda (n_{i\alpha\uparrow} + n_{i\alpha\downarrow}) (a^\dagger_{i\beta} + a_{i\beta}) \]
with a complex coupling constant \(\lambda\).
- Parameters
-
[in] Label Site label \(i\). [in] Lambda Coupling constant \(\lambda\). [in] Orbital Orbital index \(\alpha\). [in] BosonExtraIndex Additional bosonic index \(\beta\).
◆ HolsteinInteraction() [2/2]
| RealExpr Pomerol::LatticePresets::HolsteinInteraction | ( | std::string const & | Label, |
| RealType | Lambda, | ||
| unsigned short | Orbital, | ||
| unsigned short | BosonExtraIndex | ||
| ) |
Make a Holstein fermion-boson coupling term of the following form,
\[ \lambda (n_{i\alpha\uparrow} + n_{i\alpha\downarrow}) (a^\dagger_{i\beta} + a_{i\beta}) \]
with a real coupling constant \(\lambda\).
- Parameters
-
[in] Label Site label \(i\). [in] Lambda Coupling constant \(\lambda\). [in] Orbital Orbital index \(\alpha\). [in] BosonExtraIndex Additional bosonic index \(\beta\).
