Orbital ordering of ultracold alkaline-earth atoms in optical lattices

Sotnikov, Andrii; Oppong, Nelson Darkwah; Zambrano, Y.; Cichy, Agnieszka

doi:10.1103/physrevresearch.2.023188

Cited by 8 publications

(15 citation statements)

References 60 publications

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“…Furthermore, it is worth mentioning that the AFO phase is not limited to the chosen 2D geometry. Supporting calculations performed for both a three-dimensional [38] and a onedimensional system (matrix product state algorithm [39]), reveal qualitatively similar correlations in the orbital domain at comparable densities.…”

Section: Resultsmentioning

confidence: 79%

Orbital ordering of ultracold alkaline-earth atoms in optical lattices

Sotnikov,

Oppong,

Zambrano

et al. 2020

Preprint

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We report on a dynamical mean-field theoretical analysis of emerging low-temperature phases in multicomponent gases of fermionic alkaline-earth(-like) atoms in state-dependent optical lattices. Using the example of 173 Yb atoms, we show that a two-orbital mixture with two nuclear spin components is a promising candidate for studies of not only magnetic but also staggered orbital ordering peculiar to certain solid-state materials. We calculate and study the phase diagram of the full Hamiltonian with parameters similar to existing experiments and reveal an antiferroorbital phase. This long-range-ordered phase is inherently stable, and we analyze the change of local and global observables across the corresponding transition lines, paving the way for experimental observations. Furthermore, we suggest a realistic extension of the system to include and probe a Jahn-Teller source field playing one of the key roles in real crystals.

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Section: Resultsmentioning

confidence: 79%

Orbital ordering of ultracold alkaline-earth atoms in optical lattices

Sotnikov,

Oppong,

Zambrano

et al. 2020

Preprint

Self Cite

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“…The band-structure calculations (similar to those performed in Ref. [19]) with the choice of parameters for the optical lattice specified in Sec. II A result in the values of the Hubbard parameters summarized in Table II.…”

Section: Resultsmentioning

confidence: 99%

“…Note that the inter-orbital interaction amplitudes and ex for 173 Yb are additionally renormalized due to the fact that the "bare" amplitude + exceeds the band gap (see also Ref. [19] for details), while for other atoms all the amplitudes are moderate and obtained directly by means of Eq. (3).…”

Section: Resultsmentioning

confidence: 99%

“…The state-independent ("magic-wavelength") confinement is realized by taking = = 18 (with m ≈ 759 nm [2] and m ≈ 813 nm [18] for Yb and Sr isotopes, respectively). For convenience of the analysis, we choose the polarizability ratio to be equal for all atoms, = 2.1 in particular (for ytterbium isotopes this results in SDL ≈ 690 nm [19], while for strontium atoms this yields SDL ≈ 739 nm [20]).…”

Section: A Fermionic Isotopes Of Yb and Sr Atoms In State-dependent O...mentioning

confidence: 99%

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Many-body correlations in one-dimensional optical lattices with alkaline-earth(-like) atoms

Bilokon¹,

Bilokon²,

Bañuls³

et al. 2023

Preprint

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We explore the rich nature of correlations in the ground state of ultracold atoms trapped in state-dependent optical lattices. In particular, we consider interacting fermionic ytterbium or strontium atoms, realizing a twoorbital Hubbard model with two spin components. We analyze the model in one-dimensional setting with the experimentally relevant hierarchy of tunneling and interaction amplitudes by means of exact diagonalization and matrix product states approaches, and study the correlation functions in density, spin, and orbital sectors as functions of variable densities of atoms in the ground and metastable excited states. We show that in certain ranges of densities these atomic systems demonstrate strong density-wave, ferro-and antiferromagnetic, as well as antiferroorbital correlations.

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“…In condensed-matter physics, besides spin and charge, the orbital degrees of freedom and their interactions play a pivotal role in the correlated electronic system with its rich physics and novel phenomena such as the Kondo effect, heavy fermions, and colossal magnetoresistance [1,2]. Orbital ordering is defined to be the spatial arrangement of different orbitals in a manner similar to that of the ordered arrangement of magnetic spins in magnetic materials.…”

Section: Introductionmentioning

confidence: 99%

Orbital ordering and quasi-two-dimensional magnetism in AMnF4 (A=K,Rb) : A first-principles study

et al. 2022

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Strongly correlated systems with the interplay of electronic, charge, spin, and orbital degrees of freedom have, in recent times, received a surge of interest because of their rich physics, novel physical properties, and potential applications. In the present work, we study the structural, magnetic, and electronic properties and orbital ordering in layered perovskite-type AMnF 4 (A=K, Rb) from first principles. A detailed analysis of the electronic properties in both compounds reveals an interesting nodal-line-like dispersion at ∼0.4 eV below the Fermi level at the hinges of the Brillouin zone. Magnetic properties reflect the quasi-two-dimensional magnetism in these compounds, with very weak exchange interaction between the layers. Our results report the robust in-plane ferromagnetic spin order in AMnF 4 (A=K, Rb) with the critical temperatures estimated to be around 30-60 K. We also find an anti-ferro-orbital ordering within the ab plane and a ferro-orbital ordering out of plane favoring the C-type orbital order in these compounds.

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Orbital ordering of ultracold alkaline-earth atoms in optical lattices

Cited by 8 publications

References 60 publications

Orbital ordering of ultracold alkaline-earth atoms in optical lattices

Orbital ordering of ultracold alkaline-earth atoms in optical lattices

Many-body correlations in one-dimensional optical lattices with alkaline-earth(-like) atoms

Orbital ordering and quasi-two-dimensional magnetism in AMnF4 (A=K,Rb) : A first-principles study

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