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We report on a topological insulating state in a heavy-fermion system away from half-filling, which is hidden within a ferromagnetic metallic phase. In this phase, the cooperation of the RKKY interaction and the Kondo effect, together with…

Strongly Correlated Electrons · Physics 2013-04-16 Tsuneya Yoshida , Robert Peters , Satoshi Fujimoto , Norio Kawakami

Strongly interacting fermions represent the key constituent of several intriguing phases of matter. However, due to the inherent complexity of these systems, important regimes are still inaccessible. Here, we derive a realistic and flexible…

We theoretically study a multi-band Hubbard model of pyrochlore oxides of the form A$_2$B$_2$O$_7$, where B is a heavy transition metal ion with strong spin-orbit coupling, in a thin film geometry orientated along the [111] direction. Along…

Strongly Correlated Electrons · Physics 2013-01-11 Xiang Hu , Andreas Rüegg , Gregory A. Fiete

The concept of topological fermions, including Weyl and Dirac fermions, stems from the quantum Hall state induced by a magnetic field, but the definitions and classifications of topological fermions are formulated without using magnetic…

Mesoscale and Nanoscale Physics · Physics 2017-06-30 Y. X. Zhao , Y. Lu , Hai-Zhou Lu

It is known that a two-dimensional spin system can acquire a topological Hopf term by coupling to massless Dirac fermions whose energy spectrum has a single cone. But it is challenging to realize the Hopf term in condensed matter physics…

Strongly Correlated Electrons · Physics 2023-01-31 YanGuang Yue , ZhengXin Liu

We study theoretically a three-dimensional correlated and spin-orbit coupled system, the half-filled extended Fu-Kane-Mele-Hubbard model on a diamond lattice, focusing on the topological magnetoelectric response of the antiferromagnetic…

Strongly Correlated Electrons · Physics 2014-09-25 Akihiko Sekine , Kentaro Nomura

We study Hubbard models for ultracold bosonic or fermionic atoms loaded into an optical lattice. The atoms carry a high spin $F>1/2$, and interact on site via strong repulsive Van der Waals forces. Making convenient rearrangements of the…

Quantum Gases · Physics 2015-05-20 E. Szirmai , M. Lewenstein

We investigate heavy fermion behaviors in the vanadium spinel LiV_2O_4. We start from a three-orbital Hubbard model on the pyrochlore lattice and derive its low-energy effective Hamiltonian by an approach of real-space renormalization group…

Strongly Correlated Electrons · Physics 2009-11-13 Kazumasa Hattori , Hirokazu Tsunetsugu

We theoretically study the topological properties of the tight-binding model on the breathing kagome lattice with antisymmetric spin-orbit coupling (SOC) between nearest neighbors. We show that the system hosts nontrivial topological phases…

Mesoscale and Nanoscale Physics · Physics 2019-04-29 Adrien Bolens , Naoto Nagaosa

We construct an observable mixed state topological order parameter for symmetry-protected free fermion matter. It resolves the entire table of topological insulators and superconductors, relying exclusively on the symmetry class, but not on…

Quantum Gases · Physics 2024-01-23 Ze-Min Huang , Sebastian Diehl

The $XYZ$ antiferromagnetic spin-$1/2$ chain with alternation of the exchange and anisotropy couplings in the presence of uniform and staggered axial magnetic fields is studied. The analysis is done using the effective quadratic fermionic…

Strongly Correlated Electrons · Physics 2020-08-27 Toplal Pandey , Gennady Y. Chitov

Tensor network states, and in particular projected entangled pair states, play an important role in the description of strongly correlated quantum lattice systems. They do not only serve as variational states in numerical simulation…

Quantum Physics · Physics 2017-06-27 C. Wille , O. Buerschaper , J. Eisert

We engineer topological insulating phases in a fermion-fermion mixture on the honeycomb lattice, without resorting to artificial gauge fields or spin-orbit couplings and considering only local interactions. Essentially, upon integrating out…

Strongly Correlated Electrons · Physics 2016-05-26 Tianhan Liu , Benoît Douçot , Karyn Le Hur

In this Letter, it is shown that interactions can facilitate the emergence of topological edge states of quantum-degenerate bosonic systems in the presence of a harmonic potential. This effect is demonstrated with the concrete model of a…

Quantum Gases · Physics 2017-12-05 Bogdan Galilo , Derek K. K. Lee , Ryan Barnett

The interplay between interactions and topology in quantum materials is of extensive current interest. Strong correlations are known to be important for insulating topological states, as exemplified by the fractional quantum Hall effect.…

We study fermions in a lattice, with on-site and nearest neighbor attractive interactions between two spin species. We consider two geometries: both spins in a triangular lattice, and a mixed geometry with up-spins in honeycomb and…

Quantum Gases · Physics 2015-06-10 R. Sarjonen , P. Törmä

Ultracold atom experiments allow the study of topological insulators, such as the noninteracting Haldane model. In this work we study a generalization of the Haldane model with spin-spin on-site interactions that can be implemented on such…

Strongly Correlated Electrons · Physics 2018-05-04 A. Rubio-García , J. J. García-Ripoll

The interplay of topological electronic band structures and strong interparticle interactions provides a promising path towards the constructive design of robust, long-range entangled many-body systems. As a prototype for such systems, we…

Strongly Correlated Electrons · Physics 2025-02-19 Steffen Bollmann , Chandan Setty , Urban F. P. Seifert , Elio J. König

Topological states of fermionic matter can be induced by means of a suitably engineered dissipative dynamics. Dissipation then does not occur as a perturbation, but rather as the main resource for many-body dynamics, providing a targeted…

Quantum Physics · Physics 2015-06-15 C. -E. Bardyn , M. A. Baranov , C. V. Kraus , E. Rico , A. Imamoglu , P. Zoller , S. Diehl

The problem of finding the minimum-energy configuration of particles on a lattice, subject to a generic short-ranged repulsive interaction, is studied analytically. The study is relevant to charge ordered states of interacting fermions, as…

Condensed Matter · Physics 2015-06-25 G. I. Watson
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