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We present a technique for engineering quantum magnets via ultracold polar molecules in optical lattices and explore exotic interplay between its spin superfluidity and solidity. The molecular ground and first excited rotational states are…

Quantum Gases · Physics 2009-10-27 Hongyi Yu , W. M. Liu , Chaohong Lee

We consider an ultra-small system of polarized bosons on an optical lattice with a ring topology interacting via long range dipole-dipole interactions. Dipoles polarized perpendicular to the plane of the ring reveal sharp transitions…

Quantum Gases · Physics 2013-05-29 Michal Maik , Pierfrancesco Buonsante , Alessandro Vezzani , Jakub Zakrzewski

In electronic solids with strong spin-orbit interactions (SOIs), the spin and orbital degrees of freedom of an electron are quantum mechanically entangled, which may result in an exotic multipolar order instead of a conventional dipolar…

Strongly Correlated Electrons · Physics 2020-07-01 Daigorou Hirai , Hajime Sagayama , Shang Gao , Hiroyuki Ohsumi , Gang Chen , Taka-hisa Arima , Zenji Hiroi

An anapole state that breaks inversion and time reversal symmetries with preserving translation symmetry of underlying lattice has aroused great interest as a new quantum state, but only a few candidate materials have been reported.…

Strongly Correlated Electrons · Physics 2021-02-10 H. Murayama , K. Ishida , R. Kurihara , T. Ono , Y. Sato , Y. Kasahara , H. Watanabe , Y. Yanase , G. Cao , Y. Mizukami , T. Shibauchi , Y. Matsuda , S. Kasahara

Motivated by a recent experiment [L. F. Livi, et al., Phys. Rev. Lett. 117, 220401(2016)], we study the ground-state properties of interacting fermions in a one-dimensional optical lattice clock with spin-orbit coupling. As the electronic…

Quantum Gases · Physics 2017-09-06 Xiaofan Zhou , Jian-Song Pan , Wei Yi , Gang Chen , Suotang Jia

We reveal the significance of kinetic-driven multiple-spin interactions hidden in geometrically-frustrated Kondo lattice models. Carefully examining the perturbation in terms of the spin-charge coupling up to the fourth order, we find that…

Strongly Correlated Electrons · Physics 2015-06-03 Yutaka Akagi , Masafumi Udagawa , Yukitoshi Motome

Dipoles in triangular optical ladders constitute a flexible platform for the study of the interplay between geometric frustration and long-range anisotropic interactions, and in particular for the observation of the spontaneous onset of…

There is growing interest to investigate states of matter with topological order, which support excitations in the form of anyons, and which underly topological quantum computing. Examples of such systems include lattice spin models in two…

Quantum Physics · Physics 2007-05-23 A. Micheli , G. K. Brennen , P. Zoller

We study the topological phases in spin-orbit coupled dipolar bosons in a one-dimensional optical lattice. The magnetic dipolar interactions between atoms give rise to the inter-site interactions. In the Mott-insulating regime, this system…

Quantum Gases · Physics 2014-12-02 H. T. Ng

Motivated by recent studies of odd-parity multipole order in condensed matter physics, we theoretically study magnetoelectric responses in an electric octupole state. Investigating the Edelstein effect and spin Hall effect in a locally…

Strongly Correlated Electrons · Physics 2019-05-22 Takanori Hitomi , Youichi Yanase

Spin liquids occuring in 2D frustrated spin systems were initially assumed to appear at strongest frustration, but evidence grows that they more likely intervene at transitions between two different types of order. To identify if this is…

Quantum Gases · Physics 2013-01-30 Philipp Hauke

We discuss duality relations in correlated electronic ladder systems to clarify mutual relations between various conventional and unconventional phases. For the generalized two-leg Hubbard ladder, we find two exact duality relations, and…

Strongly Correlated Electrons · Physics 2015-06-24 Tsutomu Momoi , Toshiya Hikihara

This paper reviews recent advances in the study of strongly interacting systems of dipolar molecules. Heteronuclear molecules feature large and tunable electric dipole moments, which give rise to long-range and anisotropic dipole-dipole…

Quantum Gases · Physics 2016-07-14 Bryce Gadway , Bo Yan

Recent studies of unconventional superconductivity have focused on charge or spin fluctuation, instead of electron-phonon coupling, as an origin of attractive interaction between electrons. On the other hand, a multipole order, which…

Superconductivity · Physics 2020-08-13 Shuntaro Sumita , Youichi Yanase

We have mapped out a detailed phase diagram that shows the ground state structure of a spin-1 condensate with magnetic dipole-dipole interactions. We show that the interplay between the dipolar and the spin-exchange interactions induces a…

Other Condensed Matter · Physics 2009-11-11 S. Yi , H. Pu

We derive a spin-orbital Hamiltonian for a triangular lattice of e_g orbital degenerate (Ni^{3+}) transition metal ions interacting via 90 degree superexchange involving (O^{2-}) anions, taking into account the on-site Coulomb interactions…

Strongly Correlated Electrons · Physics 2009-11-11 Albert J. W. Reitsma , Louis F. Feiner , Andrzej M. Oles'

Quantum materials with non-Kramers doublets are a fascinating venue to realize multipolar hidden orders. Impurity probes which break point group symmetries, such as implanted muons or substitutional impurities, split the non-Kramers…

Strongly Correlated Electrons · Physics 2024-02-16 Sreekar Voleti , Koushik Pradhan , Subhro Bhattacharjee , Tanusri Saha-Dasgupta , Arun Paramekanti

Hidden duality and associated instabilities of the spinless Luttinger liquid on lattice are reported. The local quantum fluctuations and the long-distance chiral modes compete and as a result produce a hierarchy of exotic charge/density…

Strongly Correlated Electrons · Physics 2009-10-30 Z. N. C. Ha

Microscopic investigation is performed for intersite multipolar interactions in the orbitally degenerate Anderson lattice, with CeB$_6$ taken as an exemplary target. In addition to the $f^0$ intermediate state, $f^2$ Hund's-rule ground…

Strongly Correlated Electrons · Physics 2009-11-10 Gen'ya Sakurai , Yoshio Kuramoto

We study the effective spin-orbital model for honeycomb-layered transition metal compounds, applying the second-order perturbation theory to the three-orbital Hubbard model with the anisotropic hoppings. This model is reduced to the Kitaev…

Strongly Correlated Electrons · Physics 2018-04-04 Akihisa Koga , Shiryu Nakauchi , Joji Nasu