Intraband and interband conductivity in systems of strongly interacting bosons

Grygiel, B.; Patucha, K.; Zaleski, T. A.

doi:10.1103/physrevb.96.094520

Cited by 4 publications

(8 citation statements)

References 55 publications

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“…(14) and (15) . Similar behavior of significant differences in the intra and interband transition amplitudes has been very recently reported also for the uniform magnetic field [20]. Moreover, the shifting of Dirac points in the wave vector space k (Fig.…”

Section: Dynamical Conductivitysupporting

confidence: 86%

“…In particular, in comparison to Ref. [20], interband transitions can be also very clearly visible in a much simpler experimentally available optical lattice systems without gauge potential, i.e. in the honeycomb type of lattices [18].…”

Section: Introductionmentioning

confidence: 70%

“…intra and interband transitions. The lattices that show such a dynamics have been very recently studied by Grygiel et al [20]. They have investigated optical conductivity in the lattice with synthetic gauge potential which correspond to the uniform magnetic field.…”

Section: Introductionmentioning

confidence: 99%

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Tuning linear response dynamics near the Dirac points in the bosonic Mott insulator

Sajna

2019

Annals of Physics

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Optical lattice systems offer the possibility of creating and tuning Dirac points which are present in the tight-binding lattice dispersions. For example, such a behavior can be achieved in the staggered flux lattice or honeycomb type of lattices. Here we focus on the strongly correlated bosonic dynamics in the vicinity of Dirac points. In particular, we investigate bosonic Mott insulator phase in which quasiparticle excitations have a simple particle-hole interpretation. We show that linear response dynamics around Dirac points, can be significantly engineered at least in two ways: by the type of external perturbation or by changing the lattice properties. The key role is played by the interband transitions. Moreover, we explain that the behavior of these transitions is directly connected to different energy scales of the effective hopping amplitudes for particles and holes. Presented in this work theoretical study about tunability of linear response dynamics near the Dirac points can be directly simulated in the optical lattice systems.

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Section: Dynamical Conductivitysupporting

confidence: 86%

Section: Introductionmentioning

confidence: 70%

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Tuning linear response dynamics near the Dirac points in the bosonic Mott insulator

Sajna

2019

Annals of Physics

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“…Next, the unimodular fields ζ i (τ ) = e i φi(τ ) can be introduced. Then, by relaxing the constraint of the unitary modulus [17,18], which introduces a Lagrange multiplier λ, the equation of state [12,19] and also the current-current correlation functions [13,[20][21][22][23] can be calculated.…”

Section: Model and Methodsmentioning

confidence: 99%

“…where Φ 0 is the flux quantum. The extensive derivation of the conductivity can be found in [23]. Here, we present the final formulae.…”

Section: Conductivitymentioning

confidence: 99%

Real and Imaginary Part of Conductivity of Strongly Interacting Bosons in Optical Lattices

2019

Self Cite

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We calculate the conductivity of strongly interacting bosons described by the Bose-Hubbard model in a twodimensional lattice in controlled gauge potential acting as a uniform external magnetic field. In such scenario, two types of conductivity can be distinguished: intra-and inter-band. The interband contribution, usually omitted in analysis of multiband systems, appears to have a crucial role in the transport properties as its values are a few orders of magnitude greater than the intraband one.

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Momentum-resolved conductivity of strongly interacting bosons in an optical lattice

Grygiel

Zaleski

2021

Phys. Rev. B

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Intraband and interband conductivity in systems of strongly interacting bosons

Cited by 4 publications

References 55 publications

Tuning linear response dynamics near the Dirac points in the bosonic Mott insulator

Tuning linear response dynamics near the Dirac points in the bosonic Mott insulator

Real and Imaginary Part of Conductivity of Strongly Interacting Bosons in Optical Lattices

Momentum-resolved conductivity of strongly interacting bosons in an optical lattice

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