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Ferroelectric GeTe is unveiled to exhibit an intriguing multiple non-trivial topology of the electronic band structure due to the existence of triple-point and type-II Weyl fermions, which goes well beyond the giant Rashba spin splitting…

The recent discovery of Weyl fermions in solids enables exploitation of relativistic physics and development of a spectrum of intriguing physical phenomena. They are constituted of pairs of Weyl points with two-fold band degeneracy, which…

Unconventional superconducting states of matter are realized in the presence of strong spin orbit coupling. In particular, non degenerate bands can support odd parity superconductivity with rich topological content. Here we study whether…

Superconductivity · Physics 2015-06-16 Huazhou Wei , Sung-Po Chao , Vivek Aji

Weyl semimetals are gapless three-dimensional topological materials where two bands touch at an even number of points in the bulk Brillouin zone. These semimetals exhibit topologically protected surface Fermi arcs, which pairwise connect…

Strongly Correlated Electrons · Physics 2016-10-26 F. Lambert , A. P. Schnyder , R. Moessner , I. Eremin

Topological semimetals with different types of band crossings provide a rich platform to realize novel fermionic excitations, known as topological fermions. In particular, some fermionic excitations can be direct analogues of elementary…

Layered van der Waals materials have risen as powerful platforms to artificially engineer correlated states of matter. Here we show the emergence of a multiferroic order in a twisted dichalcogenide bilayer superlattice at quarter-filling.…

Strongly Correlated Electrons · Physics 2022-09-07 Mikael Haavisto , J. L. Lado , Adolfo O. Fumega

Topological semimetals with several types of three-dimensional (3D) fermion of electrons, such as Dirac fermions, Weyl fermions, Dirac nodal lines and triply degenerate nodal points have been theoretically predicted and then experimentally…

Materials Science · Physics 2018-02-28 Sami Ullah , Jiangxu Li , Ronghan Li , Qing Xie , Hui Ma , Dianzhong Li , Yiyi Li , Xing-Qiu Chen

The concepts of Weyl fermions and topological semimetals emerging in three-dimensional momentum space are extensively explored owing to the vast variety of exotic properties that they give rise to. On the other hand, very little is known…

We analyze the metallic (pi,0) antiferromagnetic state of a five-orbital model for iron superconductors. We find that with increasing interactions the system does not evolve trivially from the pure itinerant to the pure localized regime.…

Strongly Correlated Electrons · Physics 2012-11-13 E. Bascones , B. Valenzuela , M. J. Calderón

We examine a system of doubly degenerate $p$-orbital polarized fermions on a two-dimensional square lattice with a strong on-site interaction. We consider the system density at the half filling limit and tackle the strong attractive…

Quantum Gases · Physics 2015-09-25 Theja N. De Silva

We study two-dimensional fermionic systems, displaying quadratic band touching in the normal state, in the presence of vortices and skyrmions of insulating and superconducting masses in the ordered phase. A prototypical example of such…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 Bitan Roy

In this lecture for the Nobel symposium, we review previous research on a class of translational-invariant insulators without spin-orbit coupling. These may be realized in intrinsically spinless systems such as photonic crystals and…

Strongly Correlated Electrons · Physics 2014-11-14 A. Alexandradinata , B. Andrei Bernevig

Characterized by the absence of inversion symmetry, non-centrosymmetric materials are of great interest because they exhibit ferroelectricity, second harmonic generation, emergent Weyl fermions, and other fascinating phenomena. It is…

We study the phase diagram of interacting spinless fermions on the honeycomb bilayer at charge neutrality using large-scale quantum Monte Carlo simulations. In the noninteracting limit, the low-energy spectrum features quadratically…

Strongly Correlated Electrons · Physics 2026-05-26 Zi Hong Liu , Lukas Janssen

Altermagnetic (AM) compounds have recently emerged as a promising platform for realizing unconventional quantum phases, enabled by their unique spin-split band structure at zero net magnetization. Here, we present a first-principles…

We study a system of polar dipolar fermions in a two-dimensional optical lattice and show that multi-band Fermi-Hubbard model is necessary to discuss such system. By taking into account both on-site, and long-range interactions between…

Quantum Gases · Physics 2015-06-04 O. Dutta , T. Sowiński , M. Lewenstein

We discuss spin and orbital ordering in the twofold orbital degenerate superexchange model in three dimensions relevant to perovskite transition metal oxides. We focus on the particular point on the classical phase diagram where orbital…

Strongly Correlated Electrons · Physics 2009-10-30 G. Khaliullin , V. Oudovenko

The manipulation and movement of Dirac points in the Brillouin zone by the electron-electron interaction is considered within leading order perturbation theory. At the merging point, an infinitesimal interaction is shown to cause opening of…

Strongly Correlated Electrons · Physics 2013-08-16 Balázs Dóra , Igor F. Herbut , Roderich Moessner

We unveil a topological phase of interacting fermions on a two-leg ladder of unequal parity orbitals, derived from the experimentally realized double-well lattices by dimension reduction. $Z_2$ topological invariant originates simply from…

Quantum Gases · Physics 2013-03-04 Xiaopeng Li , Erhai Zhao , W. Vincent Liu

We consider three-dimensional fermionic band theories that exhibit Weyl nodal surfaces defined as two-band degeneracies that form closed surfaces in the Brillouin zone. We demonstrate that topology ensures robustness of these objects under…

Mesoscale and Nanoscale Physics · Physics 2018-03-01 Oğuz Türker , Sergej Moroz