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Marcenat C, Klein T, LeBoeuf D, Jaoui A, Seyfarth G, Kačmarčík J, Kohama Y, Cercellier H, Aubin H, Behnia K, Fauqué B. Wide Critical Fluctuations of the Field-Induced Phase Transition in Graphite. Phys Rev Lett 2021; 126:106801. [PMID: 33784120 DOI: 10.1103/physrevlett.126.106801] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 11/11/2020] [Accepted: 01/28/2021] [Indexed: 06/12/2023]
Abstract
In the immediate vicinity of the critical temperature (T_{c}) of a phase transition, there are fluctuations of the order parameter that reside beyond the mean-field approximation. Such critical fluctuations usually occur in a very narrow temperature window in contrast to Gaussian fluctuations. Here, we report on a study of specific heat in graphite subject to a high magnetic field when all carriers are confined in the lowest Landau levels. The observation of a BCS-like specific heat jump in both temperature and field sweeps establishes that the phase transition discovered decades ago in graphite is of the second order. The jump is preceded by a steady field-induced enhancement of the electronic specific heat. A modest (20%) reduction in the amplitude of the magnetic field (from 33 to 27 T) leads to a threefold decrease of T_{c} and a drastic widening of the specific heat anomaly, which acquires a tail spreading to two times T_{c}. We argue that the steady departure from the mean-field BCS behavior is the consequence of an exceptionally large Ginzburg number in this dilute metal, which grows steadily as the field lowers. Our fit of the critical fluctuations indicates that they belong to the 3DXY universality class as in the case of the ^{4}He superfluid transition.
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Affiliation(s)
- Christophe Marcenat
- Université Grenoble Alpes, CEA, IRIG, PHELIQS, LATEQS, F-38000 Grenoble, France
| | - Thierry Klein
- Université Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, F-38000 Grenoble, France
| | - David LeBoeuf
- Laboratoire National des Champs Magnétiques Intenses (LNCMI-EMFL), CNRS, UGA, UPS, INSA, 38042 Grenoble/Toulouse, France
| | - Alexandre Jaoui
- JEIP, USR 3573 CNRS, Collège de France, PSL Research University, 11, Place Marcelin Berthelot, 75231 Paris Cedex 05, France
- Laboratoire de Physique et Etude des Matériaux (CNRS/UPMC), Ecole Supérieure de Physique et de Chimie Industrielles, 10 Rue Vauquelin, 75005 Paris, France
| | - Gabriel Seyfarth
- Laboratoire National des Champs Magnétiques Intenses (LNCMI-EMFL), CNRS, UGA, UPS, INSA, 38042 Grenoble/Toulouse, France
| | - Jozef Kačmarčík
- Centre of Low Temperature Physics, Institute of Experimental Physics, Slovak Academy of Sciences, Watsonova 47, SK-04001 Košice, Slovakia
| | - Yoshimitsu Kohama
- The Institute of Solid State Physics, University of Tokyo, Kashiwa, Chiba 277-8581, Japan
| | - Hervé Cercellier
- Université Grenoble Alpes, CNRS, Grenoble INP, Institut Néel, F-38000 Grenoble, France
| | - Hervé Aubin
- Centre de Nanosciences et de Nanotechnologies, CNRS, Université Paris-Saclay, 91120 Palaiseau, France
| | - Kamran Behnia
- Laboratoire de Physique et Etude des Matériaux (CNRS/UPMC), Ecole Supérieure de Physique et de Chimie Industrielles, 10 Rue Vauquelin, 75005 Paris, France
| | - Benoît Fauqué
- JEIP, USR 3573 CNRS, Collège de France, PSL Research University, 11, Place Marcelin Berthelot, 75231 Paris Cedex 05, France
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Mankowsky R, Liu B, Rajasekaran S, Liu HY, Mou D, Zhou XJ, Merlin R, Först M, Cavalleri A. Dynamical Stability Limit for the Charge Density Wave in K_{0.3}MoO_{3}. Phys Rev Lett 2017; 118:116402. [PMID: 28368632 DOI: 10.1103/physrevlett.118.116402] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/12/2016] [Indexed: 06/07/2023]
Abstract
We study the response of the one-dimensional charge density wave in K_{0.3}MoO_{3} to different types of excitation with femtosecond optical pulses. We compare direct excitation of the lattice at midinfrared frequencies with injection of quasiparticles across the low energy charge density wave gap and with charge transfer excitation in the near infrared. For all three cases, we observe a fluence threshold above which the amplitude-mode oscillation frequency is softened and the mode becomes increasingly damped. We show that all the data can be collapsed onto a universal curve in which the melting of the charge density wave occurs abruptly at a critical lattice excursion. These data highlight the existence of a universal stability limit for a charge density wave, reminiscent of the Lindemann criterion for the melting of a crystal lattice.
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Affiliation(s)
- R Mankowsky
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
- University of Hamburg, 22761 Hamburg, Germany
| | - B Liu
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
| | - S Rajasekaran
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
| | - H Y Liu
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
| | - D Mou
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - X J Zhou
- Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
| | - R Merlin
- Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1040, USA
| | - M Först
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
| | - A Cavalleri
- Max Planck Institute for the Structure and Dynamics of Matter, 22761 Hamburg, Germany
- University of Hamburg, 22761 Hamburg, Germany
- Department of Physics, Oxford University, Clarendon Laboratory, Oxford OX1 3PU, United Kingdom
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Saint-Paul M, Dumas J, Marcus J. Ultrasonic properties near 50 K of the quasi-one-dimensional conductors A(0.30)MoO(3) (A = K, Rb) and Rb(0.30)(Mo(1-x)V(x))O(3). J Phys Condens Matter 2009; 21:215603. [PMID: 21825552 DOI: 10.1088/0953-8984/21/21/215603] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 05/31/2023]
Abstract
The charge density wave (CDW) nonlinear conductivity of the blue bronzes A(0.30)MoO(3) (A = K, Rb) shows two different regimes depending on the temperature: a strongly damped CDW motion above ∼50 K and a CDW motion with almost no damping below ∼50 K. In a search for an elastic signature of this CDW behaviour, we performed ultrasonic measurements on A(0.30)MoO(3) single crystals in the temperature range 4-300 K. In Rb(0.30)MoO(3), at T∼50 K, upon cooling, a large increase of the sound velocity for the longitudinal mode measured along the [Formula: see text], [102] and b directions is observed. The ultrasonic attenuation coefficient shows an increase down to 50 K followed by a plateau. Similar results are found in K(0.30)MoO(3). In V-doped samples, Rb(0.30)(Mo(1-x)V(x))O(3) (x = 0.4%) the anomaly broadens and is shifted towards higher temperatures. The results are discussed in relation to the changes in the CDW rigidity, disorder and dielectric response. A scenario based on a glass transition for the CDW superstructure is proposed.
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Affiliation(s)
- M Saint-Paul
- Institut Néel, CNRS/UJF, BP 166, F-38042 Grenoble Cedex 9, France
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Tomeljak A, Schäfer H, Städter D, Beyer M, Biljakovic K, Demsar J. Dynamics of photoinduced charge-density-wave to metal phase transition in K0.3MoO3. Phys Rev Lett 2009; 102:066404. [PMID: 19257615 DOI: 10.1103/physrevlett.102.066404] [Citation(s) in RCA: 37] [Impact Index Per Article: 2.5] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/21/2008] [Indexed: 05/27/2023]
Abstract
We present the first systematic studies of the photoinduced phase transition from the ground charge density wave (CDW) state to the normal metallic state in the prototype quasi-1D CDW system K0.3MoO3. Ultrafast nonthermal CDW melting is achieved at the absorbed energy density that corresponds to the electronic energy difference between the metallic and CDW states. The results imply that on the subpicosecond time scale when melting and subsequent initial recovery of the electronic order takes place the lattice remains unperturbed.
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Affiliation(s)
- A Tomeljak
- Physics Department and Center for Applied Photonics, Universität Konstanz, D-78457, Germany
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Abstract
Thermal expansion of Li0.9Mo6O17 is a-axis dominated which reduces the separation of the conducting chains at low temperature enhancing the interchain coupling. This destabilizes the Luttinger-liquid fixed point leading to an electronic charge- (or spin-) density wave dominated by Coulomb repulsion, as predicted by theories for Luttinger liquids.
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Affiliation(s)
- C A M dos Santos
- Department of Physics, Montana State University, P. O. Box 173840, Bozeman, Montana 59717-3840, USA
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Rudnick J, Jasnow D. Cohesive energy, stability, and structural transitions in polyelectrolyte bundles. Phys Rev E Stat Nonlin Soft Matter Phys 2003; 68:051902. [PMID: 14682815 DOI: 10.1103/physreve.68.051902] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [What about the content of this article? (0)] [Affiliation(s)] [Abstract] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 07/26/2002] [Revised: 07/29/2003] [Indexed: 05/24/2023]
Abstract
A lattice of uniformly charged, infinitesimally thin rods decorated with an ordered array of counterions exhibits anomalous behavior as the spacing between the rods is varied. In particular, the counterion lattice undergoes a sequence of structural shearing or "tilting," phase transformations as the spacing between the rods decreases. The potential implications of this behavior with respect to the packaging of biologically relevant polyelectrolytic molecules are commented upon.
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Affiliation(s)
- Joseph Rudnick
- Department of Physics and Astronomy, UCLA, Box 951547, Los Angeles, California 90095-1547, USA
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