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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

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

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

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

In crystals with time-reversal symmetry but without inversion symmetry, the phonon angular momentum can be generated by the temperature gradient, and it is called phonon thermal Edelstein effect. On the other hand, when both symmetries are…

Mesoscale and Nanoscale Physics · Physics 2020-06-02 Masato Hamada , Shuichi Murakami

A unified form of time-reversal symmetry (TRS) breaking terms in phononic crystals, leading to nontrivial phononic topology, has been proposed recently, but is contradicted by some other works which introduce gyroscopic effect as…

Mesoscale and Nanoscale Physics · Physics 2017-12-27 Jingtian Shi

In chiral crystals, two types of phonon angular momenta have been introduced. One is crystal angular momentum (CAM) arising from the rotational or screw-rotational symmetry and the other is mechanical angular momentum (MAM) associated with…

Materials Science · Physics 2026-04-06 Akihito Kato , Nobuhiko Yokoshi , Jun-ichiro Kishine

The discrete rotational symmetry of crystals leads to the conservation of quantized angular momentum in solids. While the exchange of energy and linear momentum between lattice vibrations (phonons) via anharmonic coupling is a cornerstone…

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

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

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

We formulate a generalized continuum theory of phonon angular momentum in crystals by introducing a local SO(3) material frame in addition to the macroscopic displacement field. The local frame represents rotational optical degrees of…

Materials Science · Physics 2026-05-05 Mamoru Matsuo , Naoki Nishimura , Ai Yamakage , Takeo Kato

Phonon angular momentum in chiral materials has been widely studied in spintronics and condensed matter physics. In chiral crystals, this is not the conserved quantity in contrast to the pseudo-angular momentum. To highlight this point and…

Materials Science · Physics 2023-06-30 Akihito Kato , Jun-ichiro Kishine

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

Recently, phonons with chirality (chiral phonons) have attracted significant attention. Chiral phonons exhibit angular and pseudo-angular momenta. In circularly polarized Raman spectroscopy, the peak split of the $\Gamma_3$ mode is…

In crystalline solids the acoustic phonon is known to be the frequency-gapless Goldstone boson emerging from the spontaneous breaking of the continuous Galilean symmetry induced by the crystal lattice. It has also been described as the…

Statistical Mechanics · Physics 2019-10-22 Marco Vallone

Glasses are amorphous solids, in the sense that they display elastic behaviour. In crystals, elasticity is associated with phonons, quantized sound-wave excitations. Phonon-like excitations exist also in glasses at very high frequencies…

Condensed Matter · Physics 2016-08-31 T. S. Grigera , V. Martin-Mayor , G. Parisi , P. Verrocchio

Time crystals constitute a novel phase of matter defined by the spontaneous breaking of timetranslation symmetry. Here we present a scheme to realize a continuous-time crystal of the vibrational phonon in the normal mode of two coupled…

Quantum Physics · Physics 2026-04-30 Yi-Ling Zhan , Chun-Fu Liu , J. -T. Bu , K. -F Cui , S. -L. Su , L. -L. Yan , Gang Chen

We show how crystalline inversion symmetry can be dynamically broken by optical phonons with generic, hardening Kerr-like non-linearities. The symmetry-broken state is reached through a parametric instability that can be accessed by driving…

Mesoscale and Nanoscale Physics · Physics 2026-03-23 Egor I. Kiselev

We group materials into five symmetry classes and determine in which of these classes phonons carry angular momentum in the Brillouin zone, away from a high-symmetry point, line, or plane. In some materials phonons acquire angular momentum…

Materials Science · Physics 2023-10-16 Sinisa Coh
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