Off-Diagonal Density Profiles and Conformal Invariance
arXiv:cond-mat/9612128 · doi:10.1088/0305-4470/30/5/006
Abstract
Off-diagonal profiles of local densities (e.g. order parameter or energy density) are calculated at the bulk critical point, by conformal methods, for different types of boundary conditions (free, fixed and mixed). Such profiles, which are defined by a non-vanishing matrix element of the appropriate operator between the ground state and the corresponding lowest excited state of the strip Hamiltonian, enter into the expression of two-point correlation functions on a strip. They are of interest in the finite-size scaling study of bulk and surface critical behaviour since they allow the elimination of regular contributions. The conformal profiles, which are obtained through a conformal transformation of the correlation functions from the half-plane to the strip, are in agreement with the results of a direct calculation, for the energy density of the two-dimensional Ising model.
8 pages, Plain TeX, macros included, minor corrections
References in corpus (3)
Cited by in corpus (11)
- The Random Transverse Ising Spin Chain and Random Walks
- Random antiferromagnetic quantum spin chains: Exact results from scaling of rare regions
- Density Profiles in Random Quantum Spin Chains
- Magnetic critical behavior of two-dimensional random-bond Potts ferromagnets in confined geometries
- Non-equilibrium quantum dynamics after local quenches
- Bulk and surface properties in the critical phase of the two-dimensional XY model
- Conformal Profiles in the Hilhorst--van Leeuwen Model
- The density of critical percolation clusters touching the boundaries of strips and squares
- Density of critical clusters in strips of strongly disordered systems
- Conformal off-diagonal boundary density profiles on a semi-infinite strip
- Avalanches in the Raise and Peel model in the presence of a wall