Spin-independent V-representability of Wigner crystal oscillations in one-dimensional Hubbard chains: The role of spin-charge separation

  title={Spin-independent V-representability of Wigner crystal oscillations in one-dimensional Hubbard chains: The role of spin-charge separation},
  author={Daniel Vieira},
  journal={Physical Review B},
Electrons in one-dimension display the unusual property of separating their spin and charge into two independent entities: The first, which derive from uncharged spin-1/2 electrons, can travel at different velocities when compared with the second, built from charged spinless electrons. Predicted theoretically in the early sixties, the spin-charge separation has attracted renewed attention since the first evidences of experimental observation, with usual mentions as a possible explanation for… 

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) . 23 Unpublished research work by Mariana M . Odashima at Universidade de São Paulo . 24 D . Vieira and K . Capelle
  • Phys . Rev . A
  • 2007
Argon and S . Veprek
  • Phys . Rev . Lett .
) . 32 F . D . M . Haldane
  • 2006
Leggett , Nature 21 , 134 ( 2006 )
  • 2003
Phys . Rev . B 58 , 10225 ( 1998 ) . 10 H . J . Schulz
  • Quantum Physics in One Dimension
  • 1993