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Fractons are topological quasiparticles with limited mobility. While there exists a variety of models hosting these excitations, typical fracton systems require rather complicated many-particle interactions. Here, we discuss fracton…

Strongly Correlated Electrons · Physics 2021-08-11 Max Hering , Han Yan , Johannes Reuther

Based on exact diagonalization data for finite quantum Heisenberg antiferromagnets on two frustrated lattices (two-leg ladder and bilayer) and analytical arguments we map low-energy degrees of freedom of the spin models in a magnetic field…

Strongly Correlated Electrons · Physics 2010-12-22 Oleg Derzhko , Taras Krokhmalskii , Johannes Richter

Frustrated quantum magnets can host a variety of exotic spin excitations, including fractionalized spin excitations coupled to emergent gauge fields at deconfined quantum critical points (DQCPs) and chiral magnons in altermagnets. Here, we…

Strongly Correlated Electrons · Physics 2025-10-15 Hongyu Chen , Guijing Duan , Changle Liu , Yi Cui , Weiqiang Yu , Z. Y. Xie , Rong Yu

The nature and effects of the Goldstone mode in the ordered phase of helical or chiral itinerant magnets such as MnSi are investigated theoretically. It is shown that the Goldstone mode, or helimagnon, is a propagating mode with a highly…

Strongly Correlated Electrons · Physics 2007-05-23 D. Belitz , T. R. Kirkpatrick , A. Rosch

We use a semiclassical large-$S$ expansion to study a plateau at $1/3$ saturation in the magnetization curve of a frustrated ferrimagnet on a spatially anisotropic kagom\'{e} lattice. The spins have both ferromagnetic and antiferromagnetic…

Strongly Correlated Electrons · Physics 2017-03-17 Edward Parker , Leon Balents

We report on a Monte Carlo study of a diluted Ising antiferromagnet on a fcc lattice. This is a typical model example of a highly frustrated antiferromagnet, and we ask, whether sufficient random dilution of spins does produce a spin glass…

Condensed Matter · Physics 2009-10-28 C. Wengel , C. L. Henley , A. Zippelius

We study the energy-momentum relations of the Nambu-Goldstone modes in quantum antiferromagnetic Heisenberg models on a hypercubic lattice. This work is a sequel to the previous series about the models. We prove that the Nambu-Goldstone…

Mathematical Physics · Physics 2021-06-03 Tohru Koma

The Goldstone mode due to stripe or unidirectional charge-density-wave order in electron systems is found to have the same functional form as the one in classical smectic liquid crystals. It is very similar to the Goldstone mode that…

Strongly Correlated Electrons · Physics 2013-10-01 T. R. Kirkpatrick , D. Belitz

In the presence of quenched disorder, the interplay between local magnetic-moment formation and Anderson localization for electrons at a zero-temperature, metal-insulator transition (MIT) remains a long unresolved problem. Here, we study…

Disordered Systems and Neural Networks · Physics 2024-10-17 Xinghai Zhang , Matthew S. Foster

We study the Higgs condensation $H={\bar t}t$ mechanism in the Top-mode Standard Model at the next-to-leading order in 1/Nc. The calculation includes the effects of the Goldstone fields, but not the effects of the transverse components of…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. Cvetic , N. D. Vlachos

Using a phenomenological Ginzburg-Landau theory for the magnetic conical cycloid state of a multiferroic, which has been recently reported in the cubic spinel CoCr$_{2}$O$_{4}$, we discuss its low-energy fluctuation spectrum. We identify…

Strongly Correlated Electrons · Physics 2008-11-07 Sumanta Tewari , Chuanwei Zhang , John Toner , S. Das Sarma

We study the phase diagram of a bilayer quantum spin liquid model with Kitaev-type interactions on a square lattice. We show that the low energy limit is described by a $\pi$-flux Hubbard model with an enhanced SO(4) symmetry. The…

Strongly Correlated Electrons · Physics 2023-07-04 Aayush Vijayvargia , Emilian Marius Nica , Roderich Moessner , Yuan-Ming Lu , Onur Erten

The fermionic Hubbard model, when combined with the ingredient of frustration, associated with the breaking of particle-hole symmetry, harbors a rich phase diagram. Aspects of theoretical findings associated with the nature of magnetism and…

Strongly Correlated Electrons · Physics 2025-10-23 Sogoud Sherif , Prakash Sharma , Aman Kumar , Hitesh J. Changlani

Here we report the first inelastic neutron scattering study of the magnetic excitations in the incommensurate phase of a spin-Peierls material. The results on CuGeO3 provide direct evidence of a finite excitation gap, two sharp magnetic…

The spin-nematic state has proved elusive, due to the difficulty of observing the order parameter in experiment. In this article we develop a theory of spin excitations in a field-induced spin-nematic state, and use it to show how a…

Strongly Correlated Electrons · Physics 2015-05-08 Andrew Smerald , Hiroaki T. Ueda , Nic Shannon

In systems with competing interactions, continuous degeneracies can appear which are accidental, in that they are not related to any symmetry of the Hamiltonian. Accordingly, the pseudo-Goldstone modes associated with these degeneracies are…

Strongly Correlated Electrons · Physics 2018-12-04 Jeffrey G. Rau , Paul A. McClarty , Roderich Moessner

We consider the spin-1/2 antiferromagnetic Heisenberg model on three frustrated lattices (the diamond chain, the dimer-plaquette chain and the two-dimensional square-kagome lattice) with almost dispersionless lowest magnon band. Eliminating…

Strongly Correlated Electrons · Physics 2013-10-03 Oleg Derzhko , Johannes Richter , Olesia Krupnitska , Taras Krokhmalskii

Frustration refers to the inability to satisfy competing interactions simultaneously, often leading to a large number of degenerate ground states. This can suppress ordering tendencies, sometimes resulting in a spin liquid phase. An…

Strongly Correlated Electrons · Physics 2014-07-30 Stefan Buhrandt , Lars Fritz

Spin excitations in an ordered Heisenberg magnet are magnons--bosons with spin 1. That may change when frustration and quantum fluctuations suppress the order and restore the spin-rotation symmetry. We show that spin excitations in the…

Strongly Correlated Electrons · Physics 2009-11-02 Zhihao Hao , Oleg Tchernyshyov

We investigate magnetic excitations in an $S=3/2$ Heisenberg model representing two-dimensional antiferromagnet ${\rm Ba_2CoGe_2O_7}$. In terahertz absorption experiment of the compound, Goldstone mode as well as novel magnetic excitations,…

Strongly Correlated Electrons · Physics 2015-05-27 Shin Miyahara , Nobuo Furukawa