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documentation:language_reference:objects:tightbinding:properties:hopping [2024/09/18 11:47] Sina Shokridocumentation:language_reference:objects:tightbinding:properties:hopping [2024/09/18 14:33] (current) Sina Shokri
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 ====== Hopping ====== ====== Hopping ======
  
-//TB.Hopping//: A list of local and non-local hoppings among spin-orbitals. 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'} $)+//TB.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'} $)
  
 ===== Example ===== ===== Example =====
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