Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a 
statistical mechanical monomer-dimer problem

Strecka, Jozef; Verkholyak, Taras; Richter, Johannes; Karl, Katarina; Derzhko, Oleg; Schnack, Jurgen

doi:10.1103/PhysRevB.105.064420

Item

ITEM ACTIONSEXPORT

Add to Basket

Local TagsRelease HistoryDetailsSummary

Released

Journal Article

Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical mechanical monomer-dimer problem

MPS-Authors

/persons/resource/persons184887

Richter, Johannes
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

External Resource

No external resources are shared

Fulltext (restricted access)

There are currently no full texts shared for your IP range.

Fulltext (public)

There are no public fulltexts stored in PuRe

Supplementary Material (public)

There is no public supplementary material available

Citation

Strecka, J., Verkholyak, T., Richter, J., Karl, K., Derzhko, O., & Schnack, J. (2022). Frustrated magnetism of spin-1/2 Heisenberg diamond and octahedral chains as a statistical mechanical monomer-dimer problem. Physical Review B, 105(6): 064420. doi:10.1103/PhysRevB.105.064420.

Cite as: https://hdl.handle.net/21.11116/0000-000A-533E-4

Abstract

It is evidenced that effective lattice-gas models of hard-core monomers and dimers afford a proper description of low-temperature features of spin-1/2 Heisenberg diamond and octahedral chains. In addition to monomeric particles assigned within the localized-magnon theory to bound one- and two-magnon eigenstates, the effective monomer-dimer lattice-gas model includes dimeric particles assigned to a singlet-tetramer (singlet-hexamer) state as a cornerstone of dimer-tetramer (tetramer-hexamer) ground state of a spin-1/2 Heisenberg diamond (octahedral) chain. The feasibility of the effective description is confirmed through the exact diagonalization and finite-temperature Lanczos methods. Both quantum spin chains display rich ground-state phase diagrams including discontinuous as well as continuous field-driven phase transitions, whereby the specific heat shows in vicinity of the former phase transitions an extraordinary low-temperature peak coming from a highly degenerate manifold of low-lying excitations.