Extended Haldane's model and its simulation with ultracold atoms

Li, Fuxiang; Sheng, Lijuan; Xing, D. Y.

doi:10.1209/0295-5075/84/60004

Cited by 24 publications

(30 citation statements)

References 33 publications

(34 reference statements)

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“…Using this idea, we can demonstrate that our model with C = 2 is adiabatically equivalent to a system of two uncoupled copies of a C = 1 layer (see the Appendix for details). The resulting single-layer model can be described by a staggered flux pattern and is reminiscent of the famous Haldane model [4], adapted to the square lattice [6,16,[42][43][44][45][46]54,55]. It is rather remarkable that uniform dipole-dipole interactions give rise to a model usually requiring strong modulations on the order of the lattice spacing.…”

Section: Topological Band Structurementioning

confidence: 99%

“…The main advantages of our realization, using the spin-orbit coupling present in dipolar interactions, are its robustness and the low experimental requirements, while many alternative theoretical proposals with cold gases require strong spatially inhomogeneous laser fields with variations on the scale of one lattice constant [16,[42][43][44][45][46][47]; by using such ideas in combination with dipolar exchange interactions, it is also possible to engineer flat C = 2 bands [41]. We point out that our proposal can also be applied to Rydberg atoms in similar setups [48][49][50].…”

Section: Introductionmentioning

confidence: 99%

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Topological bands with a Chern numberC=2by dipolar exchange interactions

et al. 2015

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We demonstrate the realization of topological band structures by exploiting the intrinsic spin-orbit coupling of dipolar interactions in combination with broken time-reversal symmetry. The system is based on polar molecules trapped in a deep optical lattice, where the dynamics of rotational excitations follows a hopping Hamiltonian which is determined by the dipolar exchange interactions. We find topological bands with Chern number C = 2 on the square lattice, while a very rich structure of different topological bands appears on the honeycomb lattice. We show that the system is robust against missing molecules. For certain parameters we obtain flat bands, providing a promising candidate for the realization of hard-core bosonic fractional Chern insulators.

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Section: Topological Band Structurementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Topological bands with a Chern numberC=2by dipolar exchange interactions

et al. 2015

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“…Model Hamiltonians.-The first model is the Haldane model [4] on the honeycomb (HC) lattice filled with interacting hard-core bosons: The second model is a variant version of the HBH model on the 2D checkerboard (CB) lattice [5,11,18,19]:…”

mentioning

confidence: 99%

Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands

et al. 2011

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Recent proposals of topological flat band (TFB) models have provided a new route to realize the fractional quantum Hall effect (FQHE) without Landau levels. We study hard-core bosons with short-range interactions in two representative TFB models, one of which is the well known Haldane model (but with different parameters). We demonstrate that FQHE states emerge with signatures of even number of quasi-degenerate ground states on a torus and a robust spectrum gap separating these states from higher energy spectrum. We also establish quantum phase diagrams for the filling factor 1/2 and illustrate quantum phase transitions to other competing symmetry-breaking phases. Introduction.-The fractional quantum Hall effect (FQHE), one of the most fascinating discoveries in twodimensional (2D) electron gas, has set up a paradigm to explore new topological phases in other strongly correlated systems. As commonly believed, the FQHE requires two basic ingredients: single-particle states with nontrivial topology, and quenching of the kinetic energy compared to interaction energy scale. However, despite of the seemingly universal theoretical concepts, the FQHE has only been found in 2D systems under a strong perpendicular magnetic field, i.e., in which particles move in Landau levels (LLs). In rotating Bose-Einstein condensate [1] and optical lattice systems [2,3], researchers have been interested in generating an artificial uniform magnetic field, thus the bosonic FQHE states are expected, but still due to the existence of LLs.

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“…C ¼ þ1 as a function of laser intensity. (ii) It has also been proposed that the Haldane model can be simulated by a fermionic cold atom on an optical lattice [22]. A simple estimation reveals that the energy scale of the laser fields which constitute the lattice ($1 ½eV) and that of the additional sweeping field ($10 À10 ½eV or larger) are easily separated, which makes the implementation of the adiabatic scheme feasible.…”

mentioning

confidence: 99%

Photoinduced Transition between Conventional and Topological Insulators in Two-Dimensional Electronic Systems

2010

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Manipulating the topological properties of insulators, encoded in invariants such as the Chern number and its generalizations, is now a major issue for realizing novel charge or spin responses in electron systems. We propose that a simple optical means, subjecting to a driving laser field with circular polarization, can be fruitfully incorporated to this end. Taking as a prototypical example the two-band insulator first considered by Haldane, we show how the electron system can be tuned through phases associated with different Chern numbers as the laser intensity is adiabatically swept, i.e., a photoinduced analog of the quantum Hall plateau transition. The implications of our findings include the possibility of laser tuning a conventional insulator into a quantum spin Hall system.

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Extended Haldane's model and its simulation with ultracold atoms

Cited by 24 publications

References 33 publications

Topological bands with a Chern numberC=2by dipolar exchange interactions

Topological bands with a Chern numberC=2by dipolar exchange interactions

Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands

Photoinduced Transition between Conventional and Topological Insulators in Two-Dimensional Electronic Systems

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