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- W3204134033 abstract "We consider a sublattice-symmetric free-fermion model on a one-dimensional lattice with power-law decaying random hopping amplitudes, and address the question how far an analogue of the random-singlet state (RSS) conceived originally for describing the ground state of certain random spin chains is valid for this model. For this purpose, we study the effective central charge characterizing the logarithmic divergence of the entanglement entropy (EE) and the prefactor of the distribution of distances between localization centers on the two sublattices, which must fulfill a consistency relation for a RSS. For $alpha>1$, we find by exact diagonalization an overall logarithmic divergence of the entanglement entropy with an effective central charge varying with the decay exponent $alpha$ of the hopping amplitudes. The large $alpha$ limit of the effective central charge is found to be different from that of the nearest-neighbor hopping model. The consistency relation of RSS is violated for $alphale 2$, while for $alpha>2$ it is possibly valid. The EE is also calculated by the strong-disorder renormalization group (SDRG) method numerically. Besides the traditional scheme, we construct and apply a more efficient minimal SDRG scheme having a linear (nearest-neighbor) structure, which turns out to be an accurate approximation of the full SDRG scheme for not too small $alpha$. The SDRG method is found to provide systematically lower effective central charges than exact diagonalization does, nevertheless it becomes more and more accurate for increasing $alpha$. Furthermore, as opposed to nearest-neighbor models, it indicates a weak dependence on the disorder distribution." @default.
- W3204134033 created "2021-10-11" @default.
- W3204134033 creator A5060215075 @default.
- W3204134033 date "2021-10-05" @default.
- W3204134033 modified "2023-09-27" @default.
- W3204134033 title "Long-range hopping models with off-diagonal disorder and the concept of random-singlet state" @default.
- W3204134033 hasPublicationYear "2021" @default.
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