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Graphene is the stiffest material known so far but, due to its one-atom thickness, it is also very bendable. Consequently, free-standing graphene exhibit ripples that has major effects on its elastic properties. Here we will summarize three…

Materials Science · Physics 2021-07-01 Guillermo Lopez-Polin , Cristina Gomez-Navarro , Julio Gomez-Herrero

We consider the thermal softening of crystals due to anharmonicity. Self-consistent methods find a maximum temperature for a stable crystal, which gives an upper bound to the melting temperature. Previous workers have shown that the…

Statistical Mechanics · Physics 2007-05-23 M. J. W. Dodgson , V. B. Geshkenbein , M. V. Feigel'man , G. Blatter

We study the thermal distribution of phonons in a graphene sheet. Due to the two electronic bands there are two out-of-plane phonon modes with respect to the two sublattices. One of these modes undergoes an Ising transition by spontaneously…

Materials Science · Physics 2011-08-24 K. Ziegler , E. Kogan , E. Majernikova , S. Shpyrko

A nonperturbative theory of multiphonon anharmonic transitions between energy levels of a local mode is presented. It is shown that the rate of transitions rearranges near the critical level number $n_{cr}$: at smaller $n$ the process slows…

Soft Condensed Matter · Physics 2009-10-31 V. Hizhnyakov

The Raman peak position and linewidth provide insight into phonon anharmonicity and electron-phonon interactions (EPI) in materials. For monolayer graphene, prior first-principles calculations have yielded decreasing linewidth with…

Materials Science · Physics 2022-01-27 Zherui Han , Xiaolong Yang , Sean E. Sullivan , Tianli Feng , Li Shi , Wu Li , Xiulin Ruan

Unlike in conventional semiconductors, both the chemical potential and the band gap in bilayer graphene (BLG) can be tuned via application of external electric field. Among numerous device implications, this property also designates BLG as…

Mesoscale and Nanoscale Physics · Physics 2019-07-16 Dominik Suszalski , Grzegorz Rut , Adam Rycerz

Graphene is of great scientific interest due to a variety of unique properties such as ballistic transport, spin selectivity, the quantum hall effect, and other quantum properties. Nanopatterning and atomic scale modifications of graphene…

Mesoscale and Nanoscale Physics · Physics 2023-07-13 Ondrej Dyck , Sinchul Yeom , Sarah Dillender , Andrew R. Lupini , Mina Yoon , Stephen Jesse

For Sn$_2$P$_2$S$_6$ family of uniaxial ferroelectrics, the anharmonic quantum oscillators model, based on local three-well potential for spontaneous polarization fluctuations, has been used for a description of anharmonic properties,…

Materials Science · Physics 2018-09-26 R. Yevych , Yu. Vysochanskii

We report a Raman study of the effect of temperature on the self-energies of optical phonons in a number of transition metals with hexagonal-close-packed structure. Anisotropic softening of phonon energies and narrowing of phonon linewidths…

Materials Science · Physics 2017-01-04 Yu. S. Ponosov , S. V. Streltsov

With use of simulated friction force microscopy, we study the effect of varying temperature on the frictional properties of suspended graphene. In contrast with the theory of thermally activated friction on the surfaces of three-dimensional…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 A. Smolyanitsky

Suspended Bernal-stacked graphene multilayers up to an unexpectedly large thickness exhibit a broken-symmetry ground state, whose origin remains to be understood. Here we show that a finite-temperature second order phase transition occurs…

Mesoscale and Nanoscale Physics · Physics 2018-11-27 Youngwoo Nam , Dong-Keun Ki , David Soler-Delgado , Alberto F. Morpurgo

Two dimensional crystalline membranes in isotropic embedding space exhibit a flat phase with anomalous elasticity, relevant e.g., for graphene. Here we study their thermal fluctuations in the absence of exact rotational invariance in the…

Statistical Mechanics · Physics 2021-07-07 Pierre Le Doussal , Leo Radzihovsky

The time-honored Allen-Feldman theory of heat transport in glasses is generally assumed to predict a finite value for the thermal conductivity, even if it neglects the anharmonic broadening of vibrational normal modes. We demonstrate that…

Disordered Systems and Neural Networks · Physics 2023-07-19 Alfredo Fiorentino , Enrico Drigo , Stefano Baroni , Paolo Pegolo

In crystalline materials, low lattice thermal conductivity is often associated with strong anharmonicity, which can cause significant deviations from the expected Lorentzian lineshape of phonon spectral functions. These deviations,…

Materials Science · Physics 2025-03-20 Đorđe Dangić , Giovanni Caldarelli , Raffaello Bianco , Ivana Savić , Ion Errea

The lattice vibrations (phonon modes) of crystals underpin a large number of material properties. The harmonic phonon spectrum of a solid is the simplest description of its structural dynamics and can be straightforwardly derived from the…

Materials Science · Physics 2022-03-03 Ioanna Pallikara , Prakriti Kayastha , Jonathan M. Skelton , Lucy D. Whalley

We study graphene with an adsorbed spin texture, where the localized spins create a periodic magnetic flux. The latter produces gaps in the graphene spectrum and breaks the valley symmetry. The resulting effective electronic model, which is…

Materials Science · Physics 2011-03-31 Antonio Hill , Andreas Sinner , Klaus Ziegler

Graphene is a model system for the study of electrons confined to a strictly two-dimensional layer1 and a large number of electronic phenomena have been demonstrated in graphene, from the fractional2, 3 quantum Hall effect to…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Jian-Hao Chen , W. G. Cullen , E. D. Williams , M. S. Fuhrer

It is shown that the Goldstone modes associated with a broken continuous symmetry lead to anomalously large fluctuations of the zero field order parameter at any temperature below T_c. In dimensions 2<d<4, the variance of the extensive…

Statistical Mechanics · Physics 2009-11-10 W. Zwerger

Lindemann developed the melting temperature theory over 100 years ago, known as the Lindemann criterion. Its main assumption is that melting occurs when the root-mean-square vibration amplitude of ions and atoms in crystals exceeds a…

Other Condensed Matter · Physics 2020-06-11 Melvin M. Vopson , Nassina Rogers , Ian Hepburn

All-carbon heterostructures have been produced recently via focused ion beam patterning of single layer graphene. Amorphized graphene is similar to a graphene sheet in which some hexagons are replaced by a combination of pentagonal,…

Materials Science · Physics 2017-04-07 B Mortazavi , Z Fan , LFC Pereira , A Harju , T Rabczuk