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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

Features of the phonon spectrum of a chiral crystal are examined within the micropolar elasticity theory. This formalism accounts for not only translational micromotions of a medium but also rotational ones. It is found that there appears…

Materials Science · Physics 2021-01-04 J. Kishine , A. S. Ovchinnikov , A. A. Tereshchenko

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

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

Conservation laws have many applications in numerical relativity. However, it is not straightforward to define local conservation laws for general dynamic spacetimes due the lack of coordinate translation symmetries. In flat space, the rate…

General Relativity and Quantum Cosmology · Physics 2023-05-03 Robin Croft

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

Starting from a general classical model of many interacting particles we present a well defined step by step procedure to derive the continuum-mechanics equations of nonlinear elasticity theory with fluctuations which describe the…

Statistical Mechanics · Physics 2022-06-02 Rudolf Haussmann

Phonon localization is a phenomenon that influences numerous material properties in condensed matter physics. Anderson localization brings rise to localized atomic-scale phonon interferences in disordered lattices with an influence limited…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Albert Beardo , Paul Desmarchelier , Chia-Nien Tsai , Prajit Rawte , Konstantinos Termentzidis , Mahmoud I. Hussein

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

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 consider a one-dimensional photonic crystal composed of alternating layers of isotropic and anisotropic dielectric materials. Such a system has different band structures for different polarizations of light. We demonstrate that if an…

Optics · Physics 2018-01-25 Ivan V. Timofeev , Dmitrii N. Maksimov , Almas F. Sadreev

We derive the multi-field, micropolar-type continuum theory for the two-dimensional model of crystal having finite-size particles. Continuum theories are usually valid for waves with wavelength much larger than the size of primitive cell of…

Pattern Formation and Solitons · Physics 2016-09-08 A. A. Vasiliev , S. V. Dmitriev , A. E. Miroshnichenko

We combine hydrodynamic and field theoretic methods to develop a general theory of phonons as Goldstone bosons in crystals, glasses and liquids based on non-affine displacements and the consequent Goldstones phase relaxation. We relate the…

Soft Condensed Matter · Physics 2022-02-11 Matteo Baggioli , Michael Landry , Alessio Zaccone

Sub-wavelength confinement of mid-infrared light can be achieved exploiting the metal-like optical response of polar dielectric crystals in their Reststrahlen spectral region, where they support evanescent modes termed surface phonon…

Mesoscale and Nanoscale Physics · Physics 2020-05-29 Christopher R. Gubbin , Simone De Liberato

We have developed a microscopic theory on phonon energy dispersion in chiral crystals within a harmonic approximation. One of the main issues is about the splitting of sound velocity of acoustic phonons with opposite ``crystal'' angular…

Strongly Correlated Electrons · Physics 2023-02-01 Hirokazu Tsunetsugu , Hiroaki Kusunose

This study presents a fractional-order continuum mechanics approach that allows combining selected characteristics of nonlocal elasticity, typical of classical integral and gradient formulations, under a single frame-invariant framework.…

Numerical Analysis · Mathematics 2020-05-21 Sansit Patnaik , Sai Sidhardh , Fabio Semperlotti

The concept of physical momentum associated to phonons in a crystal, complemented with some fundamental reasoning, implies measurable effects in crystals even at a macroscopic scale. We show that, in close analogy with the transfer of…

Mesoscale and Nanoscale Physics · Physics 2012-10-11 Antonio Borrielli , Enrico Serra , Livia Conti , Michele Bonaldi

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 develop the theory of anomalous elasticity in two-dimensional flexible materials with orthorhombic crystal symmetry. Remarkably, in the universal region, where characteristic length scales are larger than the rather small Ginzburg scale…

Mesoscale and Nanoscale Physics · Physics 2022-03-14 I. S. Burmistrov , V. Yu. Kachorovskii , M. J. Klug , J. Schmalian

In crystals with broken time-reversal symmetry, zone-center phonons can acquire a finite angular momentum via velocity-dependent forces on the nuclei. Despite having the same order of magnitude as the electron spin angular momentum, the…

Materials Science · Physics 2025-06-16 Chiara Fiorazzo , Cheol-Hwan Park , Ivo Souza , Matteo Calandra
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