Topological two-body bands in a multiband Hubbard model

Iskin, M.

doi:10.1103/physreva.107.053323

Cited by 5 publications

(2 citation statements)

References 28 publications

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“…There, we derived a linear eigenvalue problem for the entire two-body spectrum and a nonlinear eigenvalue problem for the spin-singlet bound states in the form of a self-consistency relation. Our expressions were obtained through an exact variational approach in reciprocal space, and their application reproduced the results found in the literature on the Haldane model which uses exact diagonalization in real space [12,13]. Our self-consistency relation was also derived in a subsequent work using an alternative method [14].…”

Section: Introductionsupporting

confidence: 53%

Three-body problem in a multiband Hubbard model

Iskin¹

2022

Phys. Rev. A

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We first apply functional-integral approach to a multiband Hubbard model near the critical pairing temperature, and derive a generic effective action that is quartic in the fluctuations of the pairing order parameter. Then we consider time-reversal-symmetric systems with uniform (i.e., at both low-momentum and low-frequency) pairing fluctuations in a unit cell, and derive the corresponding time-dependent Ginzburg-Landau (TDGL) equation. In addition to the conventional intraband contribution that depends on the derivatives of the Bloch bands, we show that the kinetic coefficients of the TDGL equation have a geometric contribution that is controlled by both the quantum-metric tensor of the underlying Bloch states and their band-resolved quantum-metric tensors. Furthermore we show that thermodynamic properties such as London penetration depth, GL coherence length, GL parameter and upper critical magnetic field have an explicit dependence on quantum geometry.

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Section: Introductionsupporting

confidence: 53%

Three-body problem in a multiband Hubbard model

Iskin¹

2022

Phys. Rev. A

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“…momenta. In the next step, it is interesting to explore unexpected richer topological states and phenomena induced by interactions in higher dimensions [37,[79][80][81][82]. Besides, we propose a hybridized pumping with fractional c.m.…”

Section: Summary and Discussionmentioning

confidence: 99%

Topological pumping induced by spatiotemporal modulation of interaction

Huang,

Ke,

Liu

et al. 2024

Phys. Scr.

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Particle-particle interaction provides a new degree of freedom to induce novel topological phenomena. Here, we propose to use spatiotemporal modulation of interaction to realize topological pumping without a single-particle counterpart. Because the modulation breaks time-reversal symmetry, the multiparticle energy bands of bound states have none-zero Chern number, and support topological bound edge states. In a Thouless pump, a bound state that uniformly occupies a topological energy band can be shifted by integer unit cells per cycle, consistent with the corresponding Chern number. We can also realize topological pumping of bound edge state fromone end to another. The entanglement entropy between particles rapidly increases at transition points, which is related to the spatial spread of a bounded pair. In addition, we propose to realize hybridized pumping with fractional displacement per cycle by adding an extra tilt potential to separate topological pumping of the bound state and Bloch oscillations of single particle. Our work could trigger further studies of correlated topological phenomena that do not have a single-particle counterpart.

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Chern numbers for the two-body Hofstadter-Hubbard butterfly

Alyuruk,

Iskin

2024

Phys. Rev. B

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Topological two-body bands in a multiband Hubbard model

Cited by 5 publications

References 28 publications

Three-body problem in a multiband Hubbard model

Three-body problem in a multiband Hubbard model

Topological pumping induced by spatiotemporal modulation of interaction

Chern numbers for the two-body Hofstadter-Hubbard butterfly

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