Quantum-fluctuation-induced repelling interaction of quantum string between walls
Abstract
Quantum string, which was brought into discussion recently as a model for the stripe phase in doped cuprates, is simulated by means of the density-matrix-renormalization-group method. String collides with adjacent neighbors, as it wonders, owing to quantum zero-point fluctuations. The energy cost due to the collisions is our main concern. Embedding a quantum string between rigid walls with separation d, we found that for sufficiently large d, collision-induced energy cost obeys the formula \sim exp (- A d^alpha) with alpha=0.808(1), and string's mean fluctuation width grows logarithmically \sim log d. Those results are not understood in terms of conventional picture that the string is `disordered,' and only the short-wave-length fluctuations contribute to collisions. Rather, our results support a recent proposal that owing to collisions, short-wave-length fluctuations are suppressed, but instead, long-wave-length fluctuations become significant. This mechanism would be responsible for stabilizing the stripe phase.
Cite
@article{arxiv.cond-mat/0102123,
title = {Quantum-fluctuation-induced repelling interaction of quantum string between walls},
author = {Yoshihiro Nishiyama},
journal= {arXiv preprint arXiv:cond-mat/0102123},
year = {2009}
}