1997/12/12 by Ryotaro Arita, Kazuhiko Kuroki, Hideo Aoki +1 · 1 citation
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Condensed matter physics #Coupling (piping) #Density matrix renormalization group #Exchange interaction #Ferromagnetism #Hubbard model #Magnetic and transport properties of perovskites and related materials #Materials science #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Renormalization group #Spin (aerodynamics) #Superconductivity #Thermodynamics #Transfer matrix #cond-mat #k-nearest neighbors algorithm
paper · pdf · doi:10.1103/physrevb.57.10324
11 pages, RevTex, 5 figures in Postscript, to be published in Phys. Rev. B
arxiv created 1997/12/12 · openalex publication_date 1998/05/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The spin gap of a one-dimensional repulsive Hubbard model is numerically calculated with the density-matrix renormalization group, with a special emphasis on the effect of a next-nearest-neighbor hopping (t^\ensuremath') and the nearest-neighbor ferromagnetic exchange (J) interaction. At half filling, a significant spin gap opens if |t^\ensuremath'|\ensuremath≃|t| and J=0, in agreement with the weak-coupling theory, while the gap is strongly suppressed by the introduction of J. On the other hand, the quarter-filled system has very small spin gaps regardless of the values of t^\ensuremath' and J. Implications for the CuO2 chain in Sr14Cu24O41 and related materials are discussed.