Antiferromagnetism in 
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 as 
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-wave Pomeranchuk instability

Ahn, Kyo-Hoon; Hariki, Atsushi; Lee, Kwan‐Woo; Kuneš, J.

doi:10.1103/physrevb.99.184432

Cited by 125 publications

(75 citation statements)

References 23 publications

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“…Recently, the notion of topological states in static systems was extended to so-called higher-order topological (HOT) phases, featuring gapless modes on the boundaries of codimension (d c ) higher than one [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. For example, a three-dimensional second-(third-) order topological insulator hosts gapless modes on the hinges (at the corners), characterized by d c = 2 (3), in contrast to its conventional or first-order counterpart that accommodates two-dimensional massless Dirac fermions on the surface with d c = 1.…”

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confidence: 99%

Out of equilibrium higher-order topological insulator: Floquet engineering and quench dynamics

Nag

Juričić

Roy

2019

Phys. Rev. Research

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Higher-order topological (HOT) states, hosting topologically protected modes on lowerdimensional boundaries, such as hinges and corners, have recently extended the realm of the static topological phases. Here we demonstrate the possibility of realizing a two-dimensional Floquet second-order topological insulator, featuring corner-localized zero quasienergy modes and characterized by quantized Floquet qudrupolar moment Q Flq xy = 0.5, by periodically kicking a quantum spin Hall insulator (QSHI) with a discrete fourfold (C4) and time-reversal (T ) symmetry breaking Dirac mass perturbation. Furthermore, we show that Q Flq xy becomes independent of the choice of origin as the system approaches the thermodynamic limit. We also analyze the dynamics of a corner mode after a sudden quench, when the C4 and T symmetry breaking perturbation is switched off, and find that the corresponding survival probability displays periodic appearances of complete, partial and no revival for long time, encoding the signature of corner modes in a QSHI. Our protocol is sufficiently general to explore the territory of dynamical HOT phases in insulators and gapless systems.

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confidence: 99%

Out of equilibrium higher-order topological insulator: Floquet engineering and quench dynamics

Nag

Juričić

Roy

2019

Phys. Rev. Research

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“…We discover an extraordinary microscopic spin-splitting mechanism in altermagnetic materials which originates from a local anisotropic electric crystal field, i.e., from crystal properties of the non-magnetic phase. It is fundamentally distinct from the earlier considered internal magnetic-interaction mechanisms 14,17,19,28,35 , such as the anisotropic spin-dependent hopping in the magnetic state 19,28 . The altermagnetic spin-splitting by the local electric crystal field also starkly contrasts with the conventional mechanisms of the ferromagnetic splitting due to the global magnetization, or the spin-orbit splitting due to the global inversion asymmetry.…”

Section: Mainmentioning

confidence: 75%

“…This type of the spin-splitting belongs to a family, generally referred to as internal magnetic-interaction mechanisms 14,17,19,28 . Note that another example, considered earlier in the literature, is a Pomeranchuk Fermi liquid instability in an anisotropic (d-wave) spin-triplet channel 14 .…”

Section: Spin-splitting By Local Electric Crystal Fieldmentioning

confidence: 92%

“…The spin-groups describing the altermagnetic phase have no correspondence in the magnetic groups. The recent reports [12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] pointing towards uncharted Berry phase or charge-spin conversion physics then not only highlight the range of potential science and technology implications of this new magnetic phase, but also the importance of its proper symmetry description by the non-relativistic spin groups.…”

Section: Mainmentioning

confidence: 99%

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Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries

Jungwirth¹,

Šmejkal²,

Sinova³

2021

Preprint

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The search for novel magnetic quantum phases, phenomena and functional materials has been guided by relativistic magnetic-symmetry groups in coupled spin and real space from the dawn of the field in 1950s to the modern era of topological matter. However, the magnetic groups cannot disentangle non-relativistic phases and effects, such as the recently reported unconventional spin physics in collinear antiferromagnets, from the typically weak relativistic spin-orbit coupling phenomena. Here we discover that more general spin symmetries in decoupled spin and crystal space categorize non-relativistic collinear magnetism in three phases: conventional ferromagnets and antiferromangets, and a third distinct phase combining zero net magnetization with an alternating spin-momentum locking in energy bands, which we dub "altermagnetic". For this third basic magnetic phase, which is omitted by the relativistic magnetic groups, we develop a spin-group theory describing six characteristic types of the altermagnetic spin-momentum locking. We demonstrate an extraordinary spin-splitting mechanism in altermagnetic bands originating from a local electric crystal field, which contrasts with the conventional magnetic or relativistic splitting by global magnetization or inversion asymmetry. Based on first-principles calculations, we identify altermagnetic candidates ranging from insulators and metals to a parent crystal of cuprate superconductor. Our results underpin emerging research of quantum phases and spintronics in high-temperature magnets with light elements, vanishing net magnetization, and strong spin-coherence.

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“…The phase with non-trivial topology can further be classified as axion insulator (AXI), which, depending on the orientation of the surfaces, can show gapless chiral hinge modes while the surface and bulk remains gapped. These modes are realized in a geometry that preserves I and breaks T [26][27][28][29][30][31]. Experimental evidence for such magnetically ordered topological materials was recently observed in MnBi 2 Te 4 and Bi 2 Se 3 thin films [32][33][34].…”

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confidence: 99%

Topology and magnetism in the Kondo insulator phase diagram

Klett

Riegler

et al. 2020

Phys. Rev. B

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Topological Kondo insulators are a rare example of an interaction-enabled topological phase of matter in three-dimensional crystals -making them an intriguing but also hard case for theoretical studies. Here, we aim to advance their theoretical understanding by solving the paradigmatic two-band model for topological Kondoinsulators using a fully spin-rotation invariant slave-boson treatment. Within a mean-field approximation, we map out the magnetic phase diagram and characterize both antiferromagnetic and paramagnetic phases by their topological properties. Among others, we identify an antiferromagnetic insulator that shows, for suitable crystal terminations, topologically protected hinge modes. Furthermore, Gaussian fluctuations of the slave boson fields around their mean-field value are included in order to establish the stability of the mean-field solution through computation of the full dynamical susceptibility. arXiv:1911.11217v1 [cond-mat.str-el]

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Antiferromagnetism in RuO2 as d -wave Pomeranchuk instability

Cited by 125 publications

References 23 publications

Out of equilibrium higher-order topological insulator: Floquet engineering and quench dynamics

Out of equilibrium higher-order topological insulator: Floquet engineering and quench dynamics

Altermagnetism: spin-momentum locked phase protected by non-relativistic symmetries

Topology and magnetism in the Kondo insulator phase diagram

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