TY - JOUR
T1 - The One-Dimensional Hubbard-Model With 1st-Nearest-Neighbor, 2nd-Nearest-Neighbor and 3rd-Nearest-Neighbor Hopping in the Strong-Coupling Limit
AU - Long, Martin
AU - Castleton, C
AU - Hayward, CA
PY - 1994/1/10
Y1 - 1994/1/10
N2 - Using an extension of the Jordan-Wigner transformation, we solve the one-dimensional Hubbard model at U = infinity in the limit of dominant nearest-neighbour hopping combined with infinitesimal hopping over slightly longer ranges. We find several possible phases at zero temperature, including ferromagnetism, paramagnetism (with and without a spin gap), and even long-range antiferromagnetism with a particular limiting procedure. Our solutions are always spin-charge separated, and we give evidence that the charge degrees of freedom are best described by bosonic statistics.
AB - Using an extension of the Jordan-Wigner transformation, we solve the one-dimensional Hubbard model at U = infinity in the limit of dominant nearest-neighbour hopping combined with infinitesimal hopping over slightly longer ranges. We find several possible phases at zero temperature, including ferromagnetism, paramagnetism (with and without a spin gap), and even long-range antiferromagnetism with a particular limiting procedure. Our solutions are always spin-charge separated, and we give evidence that the charge degrees of freedom are best described by bosonic statistics.
U2 - 10.1088/0953-8984/6/2/019
DO - 10.1088/0953-8984/6/2/019
M3 - Article
SN - 1361-648X
VL - 6
SP - 481
EP - 493
JO - Journal of Physics: Condensed Matter
JF - Journal of Physics: Condensed Matter
IS - 2
ER -