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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

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…

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

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 study the evolution of quantum fluctuations in systems known as time crystals, hypothetical systems for which the lowest energy state performs a periodic motion. We first discuss some general properties shared by time crystals, and…

Quantum Physics · Physics 2014-10-10 Esteban Castillo , Benjamin Koch , Gonzalo Palma

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

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 standard treatments of electron transport, momentum relaxation in a perfect, defect-free crystal is linked with phonon creation or annihilation. In this work, we reconsider this problem for a finite, isolated crystal, retaining the…

Other Condensed Matter · Physics 2026-03-24 Eric J. Heller , Anton M. Graf , Yubo Zhang , Alhun Aydin. , Joonas Keski-Rahkonen

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

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

Nematic order is ubiquitous in liquid crystals and is characterized by a rotational symmetry breaking in an otherwise uniform liquid. Recently a similar phenomenon has been observed in some electronic phases of quantum materials related to…

Superconductivity · Physics 2017-08-11 F. Weber , D. Parshall , L. Pintschovius , J. -P. Castellan , M. Merz , Th. Wolf , M. Schütt , R. M. Fernandes , D. Reznik

Phonon decoherence determines the characteristic timescales over which coherent lattice vibrations decay, making it a crucial process for understanding the non-equilibrium dynamics of crystal lattices after excitation by a pump pulse. Here,…

Strongly Correlated Electrons · Physics 2025-02-04 Yiming Pan , Christoph Emeis , Stephan Jauernik , Michael Bauer , Fabio Caruso

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

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

While the vibrational thermodynamics of materials with small anharmonicity at low temperatures has been understood well based on the harmonic phonons approximation; at high temperatures, this understanding must accommodate how phonons…

Materials Science · Physics 2015-10-20 Tian Lan

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

We study the fluctuations of the phonon modes in a one-dimensional chain of anharmonic oscillators where the deterministic Hamiltonian dynamics is perturbed by random exchanges of momentum between nearest neighbor particles. There are three…

Probability · Mathematics 2026-05-05 Kohei Hayashi , Stefano Olla

We theoretically elucidate the boundary conditions for phonon distribution functions of long-wavelength acoustic phonons at smooth crystal interfaces. We first derive boundary conditions that fully incorporate reflection, transmission, and…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Yuta Suzuki , Shuntaro Sumita , Yusuke Kato

We examine the entanglement induced by an angular momentum coupling between two harmonic systems. The Hamiltonian corresponds to that of a charged particle in a uniform magnetic field in an anisotropic quadratic potential, or equivalently,…

Quantum Physics · Physics 2015-06-03 L. Rebón , R. Rossignoli

In recent studies, it has been discovered that phonons can carry angular momentum, leading to a series of investigations into systems with 3-fold rotation symmetry. However, for systems with 2-fold screw rotational symmetry, such as…

Materials Science · Physics 2024-04-01 Meiqi Li , Zhibing Li , Huanjun Chen , Weiliang Wang
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