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The study of interacting topological bands with a tunable bandwidth offers a unique platform to study the interplay of intertwined orders and emergent non-electronic excitations. Here we design a time-reversal symmetric and…

Strongly Correlated Electrons · Physics 2025-08-01 Xuepeng Wang , J. F. Mendez-Valderrama , Johannes S. Hofmann , Debanjan Chowdhury

We derive an effective non-linear sigma model for quantum hall systems with arbitrary polarizations, by employing the recently proposed doublet model. We study the topological excitations, in particular, the skyrmions, as a function of the…

Condensed Matter · Physics 2009-10-30 Sudhansu S. Mandal , V. Ravishankar

Recent experiments in moir\'e quantum materials exhibit quantized Hall states without an external magnetic field, motivating continuum mechanisms based on smooth moir\'e-periodic pseudospin textures. We present a controlled theory of…

Strongly Correlated Electrons · Physics 2026-02-17 Yi-Hsien Du

Skyrmions are spatially localized magnetic swirls which carry a nonzero integer topological charge. We study crystals of skyrmions in a two-dimensional ferromagnet model with chiral interactions induced by the presence of broken inversion…

Strongly Correlated Electrons · Physics 2021-07-22 Sopheak Sorn , Stefan Divic , Arun Paramekanti

Thermodynamic and dynamical properties of a model of Dirac fermions with a deconfined quantum critical point (DQCP) separating an interaction-generated quantum spin-Hall insulator from an s-wave superconductor [Nature Comm.~{\bf 10}, 2658…

Strongly Correlated Electrons · Physics 2022-07-14 Martin Hohenadler , Yuhai Liu , Toshihiro Sato , Zhenjiu Wang , Wenan Guo , Fakher F. Assaad

Skyrmions are topologically protected, two-dimensional, localized hedgehogs and whorls of spin. Originally invented as a concept in field theory for nuclear interactions, skyrmions are central to a wide range of phenomena in condensed…

Mesoscale and Nanoscale Physics · Physics 2019-03-19 M. Raju , A. Yagil , Anjan Soumyanarayanan , Anthony K. C. Tan , A. Almoalem , O. M. Auslaender , C. Panagopoulos

The quantum spin Hall state can be understood in terms of spontaneous O(3) symmetry breaking. Topological skyrmion configurations of the O(3) order parameter vector carry a charge 2e, and as shown previously, when they condense, a…

Strongly Correlated Electrons · Physics 2023-04-19 Disha Hou , Yuhai Liu , Toshihiro Sato , Wenan Guo , Fakher F. Assaad , Zhenjiu Wang

The discovery that spin-orbit coupling can generate a new state of matter in the form of quantum spin-Hall (QSH) insulators has brought topology to the forefront of condensed matter physics. While QSH states from spin-orbit coupling can be…

Strongly Correlated Electrons · Physics 2019-06-18 Yuhai Liu , Zhenjiu Wang , Toshihiro Sato , Martin Hohenadler , Chong Wang , Wenan Guo , Fakher F. Assaad

Topological order is important in many aspects of condensed matter physics, and has been extended to bosonic systems. In this Letter we report on the nontrivial topology of the magnon bands in two distinct quantum skyrmion crystals…

Strongly Correlated Electrons · Physics 2022-08-15 Kristian Mæland , Asle Sudbø

In electronic band structure of solid state material, two band touching points with linear dispersion appear in pair in the momentum space. When they annihilate with each other, the system undergoes a quantum phase transition from…

Disordered Systems and Neural Networks · Physics 2018-01-24 Xunlong Luo , Baolong Xu , Tomi Ohtsuki , Ryuichi Shindou

Multiband superconductors have a sufficient number of degrees of freedom to allow topological excitations characterized by Skyrmionic topological invariants. In the most common, clean s-wave multiband, systems the interband magnetic…

Superconductivity · Physics 2019-12-04 Thomas Winyard , Mihail Silaev , Egor Babaev

Heavy fermions have served as prototype examples of strongly-correlated electron systems. The occurrence of unconventional superconductivity in close proximity to the electronic instabilities associated with various degrees of freedom…

Superconductivity · Physics 2016-08-18 Z. F. Weng , M. Smidman , L. Jiao , X. Lu , H. Q. Yuan

The Chern number is a crucial topological invariant for distinguishing the phases of Chern insulators. Here we find that for Chern insulators with inversion symmetry, the Chern number alone is insufficient to fully characterize their…

Mesoscale and Nanoscale Physics · Physics 2024-10-01 Yu-Hao Wan , Peng-Yi Liu , Qing-Feng Sun

Quantum simulation with controllable many-body platforms offers a powerful route to exploring complex phases and dynamics that are difficult to access in natural materials. Among these, topological spin textures such as skyrmions are…

Skyrmion nucleation induced by spin-transfer torques at an interface of a topological insulator and a ferromagnetic insulator is investigated. Due to strong spin-orbit coupling on a surface of topological insulators, which enhances the…

Mesoscale and Nanoscale Physics · Physics 2022-11-16 Daichi Kurebayashi , Oleg A. Tretiakov

We investigate the general conditions to achieve the adiabatic charge and spin polarizations and quantized pumping in 2D magnetic insulators possessing inhomogeneous spin structures. In particular, we focus on the chiral ferrimagnetic…

Strongly Correlated Electrons · Physics 2015-05-30 Bohm-Jung Yang , Naoto Nagaosa

We study the quantum mechanics of magnetic skyrmions in the vicinity of the skyrmion-crystal to ferromagnet phase boundary in two-dimensional magnets. We show that the skyrmion excitation has an energy dispersion that splits into multiple…

Strongly Correlated Electrons · Physics 2016-11-03 Rina Takashima , Hiroaki Ishizuka , Leon Balents

Polar skyrmions are predicted to emerge from the interplay of elastic, electrostatic and gradient energies, in contrast to the key role of the anti-symmetric Dzyalozhinskii-Moriya interaction in magnetic skyrmions. With the discovery of…

A microscopic description of (baby)skyrmions in quantum Hall ferromagnets is derived from a scattering theory of collective (neutral) spin modes by a bare quasiparticle. We start by mapping the low lying spectrum of spin waves in the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 J. H. Oaknin , B. Paredes , C. Tejedor

We show that skyrmions on the surface of a magnetic topological insulator may experience an attractive interaction that leads to the formation of a skyrmion-skyrmion bound state. This is in contrast to the case of skyrmions in a…

Mesoscale and Nanoscale Physics · Physics 2019-09-13 Kunal L. Tiwari , J. Lavoie , T. Pereg-Barnea , W. A. Coish
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