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documentation:language_reference:objects:tightbinding:properties:start [2024/09/18 13:52] Sina Shokridocumentation:language_reference:objects:tightbinding:properties:start [2024/09/18 18:08] (current) Sina Shokri
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   * Atoms: a list of atoms, their positions within the unit cell and their atomic shells (spin-orbitals). Each element has the format {Atom.Name, Atom.Position, {Atom.Shells}}. The Atom.Shells can be a list of atomic shell with arbitrary number of orbitals, including or not including spin. For example: {"H", {0,0,0}, { {"s", {"^{dn}", "^{up}"}, {"p",  {"_y^{dn}", "_y^{up}", "_z^{dn}", "_z^{up}", "_x^{dn}", "_x^{up}"} } } } } .   * Atoms: a list of atoms, their positions within the unit cell and their atomic shells (spin-orbitals). Each element has the format {Atom.Name, Atom.Position, {Atom.Shells}}. The Atom.Shells can be a list of atomic shell with arbitrary number of orbitals, including or not including spin. For example: {"H", {0,0,0}, { {"s", {"^{dn}", "^{up}"}, {"p",  {"_y^{dn}", "_y^{up}", "_z^{dn}", "_z^{up}", "_x^{dn}", "_x^{up}"} } } } } .
   * NAtoms: number of atoms in //TB.Atoms//   * NAtoms: number of atoms in //TB.Atoms//
-  * Hopping: A list of local and non-local hoppings among atomic shells. Each element has the format {spinOrb1spinOrb1, {a,b,c}, $\{\{t_{\downarrow, \downarrow},t_{\downarrow, \uparrow}\},\{t_{\uparrow, \downarrow}, t_{\uparrow, \uparrow}\}\}$}, where here {a,b,c} is the distance between the two atoms and $\{\{t_{\downarrow, \downarrow},t_{\downarrow, \uparrow}\},\{t_{\uparrow, \downarrow}, t_{\uparrow, \uparrow}\}\}$ defines the hopping matrix elements (in second-quantization language: $ \Sigma t_{\sigma, \sigma'} a^{\dagger}_{\sigma} a_{\sigma'} $)+  * Hopping: A list of local and non-local hoppings among atomic shells. Each element has the format {Atom1.Shell_iAtom2.Shell_j, {a,b,c}, T}, where here {a,b,c} is the distance between the two atoms and T is an array defines the hopping matrix elements among the spin-orbitals of Atom1.Shell_i and Atom1.Shell_j . (in second-quantization language: $ \Sigma t_{\sigma, \sigma'} a^{\dagger}_{\sigma} a_{\sigma'} $)
   * Units: {Units[1], Units[2], Units[3]} (see below)   * Units: {Units[1], Units[2], Units[3]} (see below)
-  * NF: number of fermionic modes +  * NF: number of fermionic modes 
-  * Hk: ...+
  
 The //Units// property is a list of three strings with the following components:  The //Units// property is a list of three strings with the following components: 
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