Electronic orbital currents and polarization in Mott insulators

Bulaevskiǐ, L. N.; Batista, Cristian D.; Mostovoy, Maxim; Khomskii, Daniel I.

doi:10.1103/physrevb.78.024402

Cited by 214 publications

(282 citation statements)

References 41 publications

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“…Third, one may add to spin Hamiltonian (1) small extra terms which remove the degeneracy due to the chirality. Manipulation with chirality attracts much interest nowadays [10][11][12]. Fourth, the elaborated scheme may be applied to the Hubbard model on the lattices shown in Fig.…”

Section: Discussionmentioning

confidence: 99%

Low-Temperature Properties of the Quantum Heisenberg Antiferromagnet on Some One-Dimensional Lattices Containing Equilateral Triangles

Maksymenko

Derzhko

Richter³

2011

Acta Phys. Pol. A

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We consider the quantum Heisenberg antiferromagnet in a magnetic field on two one-dimensional lattices containing equilateral triangles (a chain of corner-sharing double tetrahedra and a frustrated three-leg ladder) which support localized-magnon states. By mapping of the localized-magnon degrees of freedom on a classical lattice gas we obtain high-field thermodynamic quantities of the models at low temperatures.

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Section: Discussionmentioning

confidence: 99%

Low-Temperature Properties of the Quantum Heisenberg Antiferromagnet on Some One-Dimensional Lattices Containing Equilateral Triangles

Maksymenko

Derzhko

Richter³

2011

Acta Phys. Pol. A

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“…On non-bipartite lattices, singlet density fluctuations generate electric dipoles [28]. We consider three spins on a equal lateral triangle interacting antiferromagnetically.…”

Section: Possible Charge Signaturementioning

confidence: 99%

“…The exchange energy is minimized by combining two of them into a singlet. The induced electric dipole lies in the plane of the triangle normally to the singlet bond [28] (Figure 3). In other words, charge 2Q accumulates on the free spin while the two spins forming the singlet carry charge −Q each.…”

Section: Possible Charge Signaturementioning

confidence: 99%

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Detecting nonmagnetic excitations in quantum magnets

Hao

2012

Phys. Rev. B

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Many unconventional quantum phases host special non-magnetic excitations such as photons and visons. We discuss two possible ways to detect these excitations experimentally. Firstly, spin-lattice coupling mixes the excitations with phonons. The phonon spectral function acquires new features that can be detected by neutron or X-ray scattering. Secondly, valence-bond fluctuations translate into charge density fluctuations on non-bipartite lattices. Such charge fluctuations can be characterized by conventional spectroscopies such as Terahertz spectroscopy. As by-products, we discuss the general mechanisms of spin-Peierls transitions in two and three dimensional spin liquids.

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“…The states also carry electric currents of opposite directions. 43 An alternative set of basis states would have distinct valence-bond averages S i · S j on the three bonds, which translates to nonzero electric charge on the three sites. 43 In contrast, an antikink is mobile.…”

Section: (D)mentioning

confidence: 99%

Destruction of valence-bond order in aS=12sawtooth chain with a Dzyaloshinskii-Moriya term

et al. 2011

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A small value of the spin gap in quantum antiferromagnets with strong frustration makes them susceptible to nominally small deviations from the ideal Heisenberg model. One of such perturbations, the anisotropic Dzyaloshinskii-Moriya interaction, is an important perturbation for the S = 1/2 kagome antiferromagnet, one of the current candidates for a quantum-disordered ground state. We study the influence of the DM term in a related one-dimensional system, the sawtooth chain that has valence-bond order in its ground state. Through a combination of analytical and numerical methods, we show that a relatively weak DM coupling, 0.115J, is sufficient to destroy the valence-bond order, close the spin gap, and turn the system into a Luttinger liquid with algebraic spin correlations. A similar mechanism may be at work in the kagome antiferromagnet.

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Electronic orbital currents and polarization in Mott insulators

Cited by 214 publications

References 41 publications

Low-Temperature Properties of the Quantum Heisenberg Antiferromagnet on Some One-Dimensional Lattices Containing Equilateral Triangles

Low-Temperature Properties of the Quantum Heisenberg Antiferromagnet on Some One-Dimensional Lattices Containing Equilateral Triangles

Detecting nonmagnetic excitations in quantum magnets

Destruction of valence-bond order in aS=12sawtooth chain with a Dzyaloshinskii-Moriya term

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