Energy dynamics in a generalized compass chain

Abstract

We investigate the energy dynamics in a generalized compass chain under an external magnetic field. We show that the energy current operators act on three contiguous sites in the absence of the magnetic field, and they are incorporated with inhomogenous Dzyaloshinskii-Moriya interactions in the presence of the magnetic field. Under these complex interactions the Hamiltonian remains an exactly solvable spin model. We study the effects of the three-site interactions and the Dzyaloshinskii-Moriya interactions on the energy spectra and phase diagram. The results have revealed that the energy current of the pristine quantum compass model is conserved due to the associated intermediate symmetries, and for other general cases such a characteristic does not exist.

Quantum coherence in a compass chain under an alternating magnetic field

“…where J 3 characterizes their strength. Such interactions between three adjacent sites emerge as an energy current of a compass chain in the nonequilibrium steady states [37]. Three-site interactions violate the intermediate symmetry and elicit exotic phenomena.…”

Lifshitz phase transitions in one-dimensional Gamma model

“…Such form of exchange can also emerge from the truncated dipolar exchange [15,16]. Furthermore, for α = −1, the antisymmetric form reduces to the DMI, which was first proposed by Dzyaloshinsky and Moriya [17,18] and had attracted continued interest [19][20][21][22][23][24][25]. The DMI has been proved to be a key factor in explaining the magnetic properties in LiMnPO 4 [26], Ni 3 V 2 O 8 [27], MnSi [28,29] and CoFeB [30], etc.…”

Ефект Потоку Енергії В Одновимірній Спін-1/2 XX Моделі Магнетоелектрика. Метод Множника Лагранжа

“…A special reference should also be made concerning works [27][28][29][30], where systems with energy flux were considered using the Lagrange multiplier method. However, they are not directly related to the study of nonequilibrium stationary processes.…”

“…The cited work, similarly to two previous ones, is related to quantum computers. The authors of work [30] considered a onedimensional generalized model of a compass, in which the energy flux is an integral of motion only in particular cases. The influence of three-particle interactions and the Dzyaloshinsky-Moriya interaction on the physical characteristics was also studied.…”