Energy dynamics in the Heisenberg-Kitaev spin chain

Steinigeweg, Robin; Brenig, Wilhelm

doi:10.1103/physrevb.93.214425

Cited by 20 publications

(18 citation statements)

References 48 publications

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“…Such conclusion is a bit different from the finding in Ref. [44], where the translation invariance of local energy densities is violated. The ground state of H can be considered as a current-carrying steady state of H GCM at zero temperature, and the ground-state expectation value of current operator J E ≡ Ĵ E acts as an order parameter indicating the presence of an energy current, as shown in Fig.…”

Section: Three-site Interactionscontrasting

confidence: 96%

Energy dynamics in a generalized compass chain

Qiu

Wu²,

You³

2016

J. Phys.: Condens. Matter

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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.

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Section: Three-site Interactionscontrasting

confidence: 96%

Energy dynamics in a generalized compass chain

Qiu

Wu²,

You³

2016

J. Phys.: Condens. Matter

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“…Therefore we have shown the 2D Kitaev model to be a normal dissipative heat conductor. This is in stark contrast to the Kitaev ladder, which is an insulator with a vanishing Drude weight and dc limit of the dynamical conductivity [58], as well as the one dimensional Kitaev chain, which is a ballistic conductor [57] and features a finite Drude weight (DW). We find, that for the 2D Kitaev model, the DW is finite only on small systems or when gauge excitations are completely neglected.…”

Section: Discussionmentioning

confidence: 89%

“…We caution that the only requirement for h(r) is, that H =´d 3 r h(r). This may be a reason for differing quantitative results for the Drude weight and the regular conductivity spectrum, obtained in recent studies of various frustrated and spin ladder models [54,57,60,61]. However, it is generally believed that universal qualitative statements, concerning the existence or absence of finite Drude weights and dc conductivities are insensitive to the freedom of choice for the energy density.…”

Section: Thermal Transportmentioning

confidence: 99%

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Thermal transport in a two-dimensional Z2 spin liquid

2017

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We study the dynamical thermal conductivity of the two-dimensional Kitaev spin-model on the honeycomb lattice. We find a strongly temperature dependent low-frequency spectral intensity as a direct consequence of fractionalization of spins into mobile Majorana matter and a static Z2 gauge field. The latter acts as an emergent thermally activated disorder, leading to the appearance of a pseudogap which partially closes in the thermodynamic limit, indicating a dissipative heat conductor. Our analysis is based on complementary calculations of the current correlation function, comprising exact diagonalization by means of a complete summation over all gauge sectors, as well as a phenomenological mean-field treatment of thermal gauge fluctuations, valid at intermediate and high temperatures. The results will also be contrasted against the conductivity discarding gauge fluctuations.arXiv:1707.03836v1 [cond-mat.str-el]

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“…It depends on θ in general. For θ=0, it will present an XZX type, while it exhibits a XZY type for θ = π/2 [61]. For simplicity we choose θ = π/2 in this term while still keep θ as an arbitrary variable in the compass chain.…”

Section: Appendix: Current Operator For the Compass Modelmentioning

confidence: 99%

Quantum phase transitions in a generalized compass chain with three-site interactions

2016

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We consider a class of one-dimensional compass models with XYZ−YZX-type of three-site exchange interaction in an external magnetic field. We present the exact solution derived by means of Jordan-Wigner transformation, and study the excitation gap, spin correlations, and establish the phase diagram. Besides the canted antiferromagnetic and polarized phases, the three-site interactions induce two distinct chiral phases, corresponding to gapless spinless-fermion systems having two or four Fermi points. We find that the z component of scalar chirality operator can act as an order parameter for these chiral phases. We also find that the thermodynamic quantities including the Wilson ratio can characterize the liquid phases. Finally, a nontrivial magnetoelectric effect is explored, and we show that the polarization can be manipulated by the magnetic field in the absence of electric field. Published in Physical Review B 93, 214417 (2016).

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Energy dynamics in the Heisenberg-Kitaev spin chain

Cited by 20 publications

References 48 publications

Energy dynamics in a generalized compass chain

Energy dynamics in a generalized compass chain

Thermal transport in a two-dimensional Z2 spin liquid

Quantum phase transitions in a generalized compass chain with three-site interactions

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