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We consider a class of d- and f-electron systems in which dipolar-octupolar Kramers doublets arise on the sites of the pyrochlore lattice. For such doublets, two components of the pseudospin transform like a magnetic dipole, while the other…

Strongly Correlated Electrons · Physics 2014-04-29 Yi-Ping Huang , Gang Chen , Michael Hermele

Research on quantum magnetism with ultra-cold gases in optical lattices is expected to open fascinating perspectives for the understanding of fundamental problems in condensed-matter physics. Here we report on the first realization of…

We consider a model of strongly correlated $e_g$ electrons interacting by superexchange orbital interactions in the ferromagnetic phase of LaMnO$_3$. It is found that the classical orbital order with alternating occupied $e_g$ orbitals has…

Strongly Correlated Electrons · Physics 2009-10-31 Jeroen van den Brink , Peter Horsch , Frank Mack , Andrzej M. Oles

We study itinerant ferromagnetism in multi-orbital Hubbard models in certain two-dimensional square and three-dimensional cubic lattices. In the strong coupling limit where doubly occupied orbitals are not allowed, we prove that the fully…

Strongly Correlated Electrons · Physics 2014-05-29 Yi Li , Elliott H. Lieb , Congjun Wu

The mutual feedback between quantum condensed matter and cold atom physics has been quite fruitful throughout history and continues to inspire ongoing research. Motivated by the recent activities on the quantum simulation of topological…

Strongly Correlated Electrons · Physics 2025-08-15 Pengwei Zhao , Gang v. Chen

We study a system of ultra-cold fermionic polar molecules in a two-dimensional square lattice interacting via both the long-ranged dipole-dipole interaction and a short-ranged on-site attractive interaction. Singlet superfluid, charge…

Quantum Gases · Physics 2015-05-27 Liang He , Walter Hofstetter

Multi-orbital optical lattices have been attracting rapidly growing research interests in the last several years, providing fascinating opportunities for orbital-based quantum simulations. Here, we consider bosonic atoms loaded in the…

Quantum Gases · Physics 2022-12-06 Rui Cao , Jinsen Han , Jianmin Yuan , Xiaopeng Li , Yongqiang Li

We summarize some characteristic features of the frustrated magnetic interactions in spin-orbital models adequate for cubic transition metal oxides with orbital degeneracy. A generic tendency towards dimerization, found already in the…

Strongly Correlated Electrons · Physics 2015-06-24 Andrzej M. Oles

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…

Quantum Gases · Physics 2020-05-21 Andrii Sotnikov , Nelson Darkwah Oppong , Yeimer Zambrano , Agnieszka Cichy

We study the properties of dipolar fermions trapped in one-dimensional bichromatic optical lattices and show the existence of fractional topological states in the presence of strong dipole-dipole interactions. We find some interesting…

Quantum Gases · Physics 2013-05-28 Zhihao Xu , Linhu Li , Shu Chen

In this paper, we explore the relationship between strong spin-orbit coupling and spin liquid physics. We study a very general model on the triangular lattice where spin-orbit coupling leads to the presence of highly anisotropic…

Strongly Correlated Electrons · Physics 2018-03-16 Jason Iaconis , Chunxiao Liu , Gábor B. Halász , Leon Balents

We propose a method for the emulation of artificial spin orbit coupling in a system of ultracold, neutral atoms trapped in a tight-binding lattice. This scheme does not involve near-resonant laser fields, avoiding the heating processes…

Quantum Gases · Physics 2014-09-24 Julian Struck , Juliette Simonet , Klaus Sengstock

We study the evolution of spin-orbital correlations in an inhomogeneous quantum system with an impurity replacing a doublon by a holon orbital degree of freedom. Spin-orbital entanglement is large when spin correlations are…

Strongly Correlated Electrons · Physics 2018-04-04 Wojciech Brzezicki , Mario Cuoco , Filomena Forte , Andrzej M. Oleś

We present a general model allowing "quantum simulation" of one-dimensional Dirac models with 2- and 4-component spinors using ultracold atoms in driven 1D tilted optical latices. The resulting Dirac physics is illustrated by one of its…

Quantum Physics · Physics 2017-11-01 Jean Claude Garreau , Véronique Zehnlé

A lattice system of spinor atoms or molecules experiencing quadratic Zeeman effect is considered. This can be an optical lattice with sufficiently deep wells at lattice sites, so that the system is in an isolating state, where atoms are…

Quantum Gases · Physics 2018-11-21 V. I. Yukalov , E. P. Yukalova

Ultracold atoms in Raman-dressed optical lattices allow for effective momentum-dependent interactions among single-species fermions originating from short-range s-wave interactions. These dressed-state interactions combined with very flat…

Quantum Gases · Physics 2013-01-08 Stefan K. Baur , Nigel R. Cooper

Transition metal oxides are a rich group of materials with very interesting physical properties that arise from the interplay of the charge, spin, orbital, and lattice degrees of freedom. One interesting consequence of this, encountered in…

Strongly Correlated Electrons · Physics 2019-09-11 Krzysztof Bieniasz , Mona Berciu , Andrzej M. Oleś

We study the quantum phases of a three-color Hubbard model that arises in the dynamics of the p-band orbitals of spinless fermions in an optical lattice. Strong, color-dependent interactions are induced by an optical Feshbach resonance.…

Pairing between spinless fermions can generate Majorana fermion excitations that exhibit intriguing properties arising from non-local correlations. But simple models indicate that non-local correlation between Majorana fermions becomes…

Quantum Gases · Physics 2013-12-02 Fei Lin , V. W. Scarola

Interplay between orbital and spin degrees of freedom is theoretically studied for the phase transition to the spin-singlet state with lattice dimerization in pyroxene titanium oxides ATiSi2O6 (A=Na, Li). For the quasi one-dimensional…

Strongly Correlated Electrons · Physics 2009-11-10 Toshiya Hikihara , Yukitoshi Motome