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Phonon modes in crystals can have angular momenta in general. It nevertheless cancels in equilibrium when the time-reversal symmetry is preserved. In this paper we show that when a temperature gradient is applied and heat current flows in…

Mesoscale and Nanoscale Physics · Physics 2018-10-30 Masato Hamada , Emi Minamitani , Motoaki Hirayama , Shuichi Murakami

We study angular momentum of phonons in a magnetic crystal. In the presence of a spin-phonon interaction, we obtain a nonzero angular momentum of phonons, which is an odd function of magnetization. At zero temperature, phonon has a…

Mesoscale and Nanoscale Physics · Physics 2014-03-03 Lifa Zhang , Qian Niu

We propose a mechanism of current-induced phonon angular momentum, which we call phonon Edelstein effect. We investigate this effect in three-dimensional chiral metals with spin-orbit coupling and chiral phonons, and obtain an analytical…

Mesoscale and Nanoscale Physics · Physics 2025-10-13 Takehito Yokoyama

Although time-reversal and inversion symmetry constrain the angular momentum of each phonon mode to vanish, we show that the vacuum state of crystals with such symmetries can nevertheless exhibit finite angular momentum fluctuations, which…

Materials Science · Physics 2026-04-23 Rule Yi , Violet Williams , Benedetta Flebus

Despite the growing interest in phonon angular momentum (AM) in recent years, current studies remain limited to a few materials due to the constraints imposed by time reversal symmetry on macroscopic phonon AM. In this work, we…

Materials Science · Physics 2025-06-09 Hong Sun , Xiaozhe Li , Lifa Zhang

We theoretically elucidate the transfer of phonon angular momentum by acoustic modes across a smooth interface between crystals. We analyze this process, which is difficult to describe with the conventional acoustic mismatch model, using a…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Yuta Suzuki , Shuntaro Sumita , Yusuke Kato

The spin and orbital Hall effects convert longitudinal charge currents into transverse flows of electronic angular momentum. Here we develop an atomistic theory of the recently proposed lattice-vibrational analogue, in which a longitudinal…

Materials Science · Physics 2026-04-03 Daniel A. Bustamante Lopez , Verena Brehm , Dominik M. Juraschek

Spin Hall effect is the transverse flow of the electron spin in conductors under external electric field. Similarly, thermal gradient in magnetic insulators can drive a transverse flow of the spin angular momentum of magnons, which provides…

Mesoscale and Nanoscale Physics · Physics 2020-12-02 Sungjoon Park , Bohm-Jung Yang

In an easy-plane antiferromagnet with the Dzyaloshinskii-Moriya interaction (DMI), magnons are subject to an effective spin-momentum locking. An in-plane temperature gradient can generate interfacial accumulation of magnons with a specified…

Mesoscale and Nanoscale Physics · Physics 2020-12-02 Hantao Zhang , Ran Cheng

Lattice vibration in solids may carry angular momentum. But unlike the intrinsic spin of electrons, the lattice vibration is rarely rotational. To induce angular momentum, one needs to find a material that can accommodate a twisted normal…

Materials Science · Physics 2021-09-29 G. P. Zhang , Y. H. Bai , Thomas F. George

In a growing list of insulators, experiments find that magnetic field induces a misalignment between the heat flux and the thermal gradient vectors. This phenomenon, known as the phonon thermal Hall effect, implies energy flow without…

Mesoscale and Nanoscale Physics · Physics 2025-10-01 Kamran Behnia

Angular momentum (AM), a fundamental concept describing the rotation of an object about an axis, profoundly influences all branches of physics. In condensed matter, AM is intimately related to the emergence of topological quantum states,…

Strongly Correlated Electrons · Physics 2025-10-09 Heda Zhang , N. Peshcherenko , F. Yang , T. Z. Ward , P. Raghuvanshi , L. Lindsay , Claudia Felser , Y. Zhang , J. -Q. Yan , H. Miao

It has been known for decades that a magnetic field can deflect phonons as they flow in response to a thermal gradient, producing a thermal Hall effect. Several recent experiments have revealed ratios of the phonon Hall conductivity to the…

Mesoscale and Nanoscale Physics · Physics 2022-06-15 B. Flebus , A. H. MacDonald

It is known that phonons have angular momentum, and when the time-reversal symmetry (TRS) is broken, the total phonon angular momentum in the whole system becomes nonzero. In this paper, we propose that as an angular momentum of phonons for…

Mesoscale and Nanoscale Physics · Physics 2021-06-08 Hisayoshi Komiyama , Shuichi Murakami

The theory of anomalous Hall effect for the heat transfer in a paramagnetic dielectric, discovered experimentally in [1], is developed. The appearance of the phonon heat flux normal to both the temperature gradient and the magnetic field is…

Other Condensed Matter · Physics 2009-11-13 Yu. Kagan , L. A. Maksimov

Recently the question of phonon angular momentum has been raised : phonon angular momentum in a magnetic crystal could play an important role in the angular momentum balance in the Einstein-de Haas effect. This proposition is quite natural…

General Physics · Physics 2017-11-15 S C Tiwari

A major question in the field of femtosecond laser-induced demagnetization is whereto the angular momentum lost by the electrons is transferred. Recent ultrafast electron diffraction measurements [Tauchert \textit{et al.}, Nature {\bf 602},…

Materials Science · Physics 2025-12-08 M. S. Mrudul , Markus Weißenhofer , Peter M. Oppeneer

Circularly polarized phonons conventionally carry an angular momentum and a magnetic moment arising from circular motions of the atoms. Here, we present three anomalous cases that lead to phonon magnetic moments, which cannot be described…

Materials Science · Physics 2026-02-24 Swati Chaudhary , Carl P. Romao , Dominik M. Juraschek

Phonon scattering calculations predict the drag force acting on defects and dislocations rises linearly with temperature, in direct contradiction with molecular dynamics simulations that often finds the drag force to be independent of…

Materials Science · Physics 2018-03-09 T. D. Swinburne , S. L. Dudarev

We propose a new mechanism for the thermal Hall effect in exchange spin-wave systems, which is induced by the magnon-phonon interaction. Using symmetry arguments, we first show that this effect is quite general, and exists whenever the…

Mesoscale and Nanoscale Physics · Physics 2019-10-17 Xiaoou Zhang , Yinhan Zhang , Satoshi Okamoto , Di Xiao
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