2,735 research outputs found
Classical Aspects of Quantum Walls in One Dimension
We investigate the system of a particle moving on a half line x >= 0 under
the general walls at x = 0 that are permitted quantum mechanically. These
quantum walls, characterized by a parameter L, are shown to be realized as a
limit of regularized potentials. We then study the classical aspects of the
quantum walls, by seeking a classical counterpart which admits the same time
delay in scattering with the quantum wall, and also by examining the
WKB-exactness of the transition kernel based on the regularized potentials. It
is shown that no classical counterpart exists for walls with L < 0, and that
the WKB-exactness can hold only for L = 0 and L = infinity.Comment: TeX, 21 pages, 4 figures. v2: some parts of the text improved, new
and improved figure
Theory of RIXS in strongly correlated electron systems: Mott gap excitations in cuprates
We theoretically examine the momentum dependence of resonant inelastic x-ray
scattering (RIXS) spectrum for one-dimensional and two-dimensional cuprates
based on the single-band Hubbard model with realistic parameter values. The
spectrum is calculated by using the numerical diagonalization technique for
finite-size clusters. We focus on excitations across the Mott gap and clarify
spectral features coming from the excitations as well as the physics behind
them. Good agreement between the theoretical and existing experimental results
clearly demonstrates that the RIXS is a potential tool to study the
momentum-dependent charge excitations in strongly correlated electron systems.Comment: 9 pages, 8 figures, Proceedings of 5th International Conference on
Inelastic X-ray Scattering (IXS 2004
Quantum contact interactions
The existence of several exotic phenomena, such as duality and spectral
anholonomy is pointed out in one-dimensional quantum wire with a single defect.
The topological structure in the spectral space which is behind these phenomena
is identified.Comment: A lecture presented at the 2nd Winter Institute on Foundations of
Quantum Theory and Quantum Optics (WINST02), Jan. 2-11, 2002, S.N.Bose
Institute, Calcutta, India: 8 pages latex with Indian Acad. Sci. style fil
Exact diagonalization study of optical conductivity in two-dimensional Hubbard model
The optical conductivity \sigma(\omega) in the two-dimensional Hubbard model
is examined by applying the exact diagonalization technique to small square
clusters with periodic boundary conditions up to \sqrt{20} X \sqrt{20} sites.
Spectral-weight distributions at half filling and their doping dependence in
the 20-site cluster are found to be similar to those in a \sqrt{18} X \sqrt{18}
cluster, but different from 4 X 4 results. The results for the 20-site cluster
enable us to perform a systematic study of the doping dependence of the
spectral-weight transfer from the region of the Mott-gap excitation to
lower-energy regions. We discuss the dependence of the Drude weight and the
effective carrier number on the electron density at a large on-site Coulomb
interaction.Comment: 5 pages, 5 figure
Temperature dependence of spinon and holon excitations in one-dimensional Mott insulators
Motivated by the recent angle-resolved photoemission spectroscopy (ARPES)
measurements on one-dimensional Mott insulators, SrCuO and
NaVO, we examine the single-particle spectral weight
of the one-dimensional (1D) Hubbard model at half-filling. We are particularly
interested in the temperature dependence of the spinon and holon excitations.
For this reason, we have performed the dynamical density matrix renormalization
group and determinantal quantum Monte Carlo (QMC) calculations for the
single-particle spectral weight of the 1D Hubbard model. In the QMC data, the
spinon and holon branches become observable at temperatures where the
short-range antiferromagnetic correlations develop. At these temperatures, the
spinon branch grows rapidly. In the light of the numerical results, we discuss
the spinon and holon branches observed by the ARPES experiments on
SrCuO. These numerical results are also in agreement with the
temperature dependence of the ARPES results on NaVO.Comment: 8 pages, 8 figure
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