Quantum-fluctuation-induced repulsive interaction of a quantum string between walls

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

A 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 wanders, 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 ∼ exp(-Adα) with α= 0.808(1), and the string's mean fluctuation width grows logarithmically ∼ log d. Those results are not understood in terms of a conventional picture that the string is "disordered," and only short-wavelength fluctuations contribute to collisions. Rather, our results support a recent proposal that owing to collisions, short-wavelength fluctuations are suppressed, but instead, long-wavelength fluctuations become significant. This mechanism would be responsible for stabilizing the stripe phase.

Original languageEnglish
Article number064510
Pages (from-to)645101-645107
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume64
Issue number6
Publication statusPublished - Aug 1 2001

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strings
Wavelength
collisions
interactions
Costs
wavelengths
costs
renormalization group methods
embedding
cuprates
proposals
energy

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Quantum-fluctuation-induced repulsive interaction of a quantum string between walls. / Nishiyama, Yoshihiro.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 64, No. 6, 064510, 01.08.2001, p. 645101-645107.

Research output: Contribution to journalArticle

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