English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The energy of one hole in one dimensional Ising antiferromagnet is calculatedusing exact diagonalization (ED) method on finite systems with number of sitesN ranging from 4 to 50. This study gives a power-law description for the holeenergy in the weak coupling region (0.001 less than or equal to Jz/t and Jz/tless than or equal to 0.1).This power-law description can otherwise beunderstood as a weak string-like energy that tends to compromise the motion ofthe hole by confining it to its birth site. However, for large N, the hole isfound to escape from this confinement and hence propagates as a free particlein agreement with theoretical results in the bulk limit and experimentalobservations from angle resolved photoemission spectroscopy (ARPES) ofspin-charge separation. In the strong coupling regime (Jz/t greater than 1),the energy of the hole is found to be independent of the system size.Accordingly, the velocities corresponding to charge and spin degrees of freedomin this regime become comparable. Under this situation, the hole may be treatedas a localized particle.

Possibility of hole confinement in the weak coupling regime of one  dimensional ising antiferromagnet and the emergence of spin-charge separation  in the bulk limit