Pentagon chain in external fields

Abstract

We consider a pentagon chain described by a Hubbard type of model considered under periodic boundary conditions. The system i) is placed in an external magnetic field perpendicular to the plane of the cells, and ii) is in a site selective manner under the action of an external electric potential. In these conditions we show in an exact manner that the physical properties of the system can be qualitatively changed. The changes cause first strong modifications of the band structure of the system created by the one-particle part of the Hamiltonian, and second, produce marked changes of the phase diagram. We exemplify this by deducing ferromagnetic ground states in the presence of external fields in two different domains of the parameter space.

Magnetization process of the S = 1/2 Heisenberg antiferromagnet on the floret pentagonal lattice

“…As systems including local pentagonal structure, spherical kagome cluster [18], dodecahedral cluster [19,20] and icosidodecahedron cluster [21,22] are also studied theoretically although the spatial dimensionality of these systems is not two. As one-dimensional systems, the S = 1/2 Ising-Heisenberg pentagonal chain [23] was investigated and the correlated electron systems with a pentagonal geometry [24][25][26] were also examined. An experimental study was also reported for a material including local pentagonal structure of magnetic bonds [27].…”

Magnetization process of the S=1/2 Heisenberg antiferromagnet on the floret pentagonal lattice

“…[15,16,17] As systems including local pentagonal structure, spherical kagome cluster [18], dodecahedral cluster [19,20] and icosidodecahedron cluster [21,22] are also studied theoretically although the spatial dimensionality of these systems is not two. As one-dimensional systems, the S = 1/2 Ising-Heisenberg pentagonal chain [23] was investigated and the correlated electron systems with a pentagonal geometry [24,25,26] were also examined. An experimental study was also reported for a material including local pentagonal structure of magnetic bonds [27].…”