Synthesizing and controlling helical indirect exchange interactions out of equilibrium

Liu, Tingting; Ren, Jie; Tong, Peiqing

doi:10.1103/physrevb.98.184426

Cited by 6 publications

(3 citation statements)

References 89 publications

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“…They found two mobility edges and proposed a heuristic semi-analytical method to solve the mobility edge in such systems. This further stimulated a lot of more theoretical works on the mobility edges in 1D quasi-periodic systems [23][24][25], including generalizing the disorders to the off-diagonal hopping terms [26] or to some topological 1D model such as Kitaev chain [27]. Among them, the off-diagonal hopping AA model has attracted extensive research interests, because it contains rich and novel physical phenomena such as zero-energy topological edge states [28,29].…”

Section: Introductionmentioning

confidence: 99%

Mobility Edges in one-dimensional Models with quasi-periodic disorder

Tang,

2021

Preprint

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We study the mobility edges in a variety of one-dimensional tight binding models with slowly varying quasi-periodic disorders. It is found that the quasi-periodic disordered models can be approximated by an ensemble of periodic models. The mobility edges can be determined by the overlaps of the energy bands of these periodic models. We demonstrate that this method provides an efficient way to find out the precise location of mobility edge in qusi-periodic disordered models.Based on this approximate method, we also propose an index to indicate the degree of localization of each eigenstate.

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Section: Introductionmentioning

confidence: 99%

Mobility Edges in one-dimensional Models with quasi-periodic disorder

Tang,

2021

Preprint

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“…A sufficiently weak coupling K not only leads to a separation of energy or time scales but also implies that linear-response theory applies, i.e., in first-order-in-K time-dependent perturbation theory [19][20][21]. Apart from setups which intrinsically prepare non-equilibrium states [22,23], such as transport through nano-structures coupled to leads, linear-response theory predicts that effective impurity-spin couplings are ground-state properties of the host. In the RKKY case, it is the ground-state magnetic susceptibility χ 12 (ω = 0) that determines the RKKY effective interaction.…”

Section: Introductionmentioning

confidence: 99%

Non-Hamiltonian dynamics of indirectly coupled classical impurity spins

Michel,

Potthoff

2020

Preprint

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We discuss the emergence of an effective low-energy theory for the real-time dynamics of two classical impurity spins within the framework of a prototypical and purely classical model of indirect magnetic exchange: Two classical impurity spins are embedded in a host system which consists of a finite number of classical spins localized on the sites of a lattice and interacting via a nearestneighbor Heisenberg exchange. An effective low-energy theory for the slow impurity-spin dynamics is derived for the regime, where the local exchange coupling between impurity and host spins is weak. To this end we apply the recently developed adiabatic spin dynamics (ASD) theory. Besides the Hamiltonian-like classical spin torques, the ASD additionally accounts for a novel topological spin torque that originates as a holonomy effect in the close-to-adiabatic-dynamics regime. It is shown that the effective low-energy precession dynamics cannot be derived from an effective Hamilton function and is characterized by a non-vanishing precession frequency even if the initial state deviates only slightly from a ground state. The effective theory is compared to the fully numerical solution of the equations of motion for the whole system of impurity and host spins to identify the parameter regime where the adiabatic effective theory applies. Effective theories beyond the adiabatic approximation must necessarily include dynamic host degrees of freedom and go beyond the idea of a simple indirect magnetic exchange. We discuss an example of a generalized constrained spin dynamics which does improve the description but also fails for certain geometrical setups.

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“…Meanwhile, the effects of KSEA interaction on the ground-state properties of spin−Peierls system [30,31] have been studied. By regulating the topological insulator [32] and the system in the presence of Rashba spin-orbit coupling (RSOC) [33] out of equilibrium, they can synthesize and control the indirect KSEA interaction in two local spins. Therefore, it is interesting to study the effects of KSEA interaction on QPTs.…”

Section: Introductionmentioning

confidence: 99%

The effects of KSEA interaction on the ground-state properties of spin chains in a transverse field

Fu,

Zhong,

Tong

2019

Preprint

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The effects of symmetric helical interaction which is called the Kaplan, Shekhtman, Entin-Wohlman, and Aharony (KSEA) interaction on the ground-state properties of three kinds of spin chains in a transverse field have been studied by means of correlation functions and chiral order parameter. We find that the anisotropic transition of XY chain in a transverse field (XY TF) disappears because of the KSEA interaction. For the other two chains, we find that the regions of gapless chiral phases in the parameter space induced by the DM or XZY − Y ZX type of three-site interaction are decreased gradually with increase of the strength of KSEA interaction. When it is larger than the coefficient of DM or XZY − Y ZX type of three-site interaction, the gapless chiral phases also disappear.

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Synthesizing and controlling helical indirect exchange interactions out of equilibrium

Cited by 6 publications

References 89 publications

Mobility Edges in one-dimensional Models with quasi-periodic disorder

Mobility Edges in one-dimensional Models with quasi-periodic disorder

Non-Hamiltonian dynamics of indirectly coupled classical impurity spins

The effects of KSEA interaction on the ground-state properties of spin chains in a transverse field

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