Boundary susceptibilities of the Hubbard model in open chains

Boundary contributions to the magnetization and the electron density are evaluated analytically, near the half-filling and non-magnetic region. Boundary susceptibilities in the spin and the charge sectors are also calculated. The boundary magnetization approaches zero logarithmically as the magnetic field goes to zero. The boundary charge susceptibility diverges like the bulk compressibility when the filling goes to unity.

[1]  F. Essler.  The supersymmetric t - J model with a boundary , 1996, cond-mat/9605180.

[2]  H. Asakawa,et al.  Finite-size corrections in the XXZ model and the Hubbard model with boundary fields , 1996 .

[3]  Kawakami,et al.  Exact critical properties of the multicomponent interacting fermion model with boundaries. , 1995, Physical review. B, Condensed matter.

[4]  Tsvelik,et al.  Anisotropic spin-1/2 Heisenberg chain with open boundary conditions. , 1995, Physical review. B, Condensed matter.

[5]  Affleck,et al.  Magnetic impurities in half-integer-spin Heisenberg antiferromagnetic chains. , 1992, Physical review. B, Condensed matter.

[6]  Yang,et al.  Conductivity in one-dimensional highly correlated electron systems. , 1991, Physical review. B, Condensed matter.

[7]  Frahm,et al.  Correlation functions of the one-dimensional Hubbard model in a magnetic field. , 1991, Physical review. B, Condensed matter.

[8]  Frahm,et al.  Critical exponents for the one-dimensional Hubbard model. , 1990, Physical review. B, Condensed matter.

[9]  N. Kawakami,et al.  Charge susceptibility of the one-dimensional Hubbard model , 1989 .

[10]  V. Korepin,et al.  THE ROLE OF QUASI-ONE-DIMENSIONAL STRUCTURES IN HIGH-Tc SUPERCONDUCTIVITY , 1989 .

[11]  E. Sklyanin.  Boundary conditions for integrable quantum systems , 1988 .

[12]  R. Baxter,et al.  Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models , 1987 .

[13]  G. Quispel,et al.  Conformal anomaly and surface energy for Potts and Ashkin-Teller quantum chains , 1987 .

[14]  F. Woynarovich.  Bound states and local moment in a 1-d interacting spin-1/2 Fermi system in the presence of an external potential , 1985 .

[15]  H. Schulz.  Hubbard chain with reflecting ends , 1985 .

[16]  H. Shiba.  Magnetic Susceptibility at Zero Temperature for the One-Dimensional Hubbard Model , 1972 .

[17]  M. Gaudin.  Boundary Energy of a Bose Gas in One Dimension , 1971 .

[18]  Masuo Suzuki.  Singularity of Nonlinear Response near the Critical Field. I : Static Case , 1969 .

[19]  Chen Ning Yang,et al.  One-Dimensional Chain of Anisotropic Spin-Spin Interactions. II. Properties of the Ground-State Energy Per Lattice Site for an Infinite System , 1966 .