The roughening transition of crystal surfaces. I. static and dynamic renormalization theory, crystal shape and facet growth
J. Phys. France, 48 3 (1987) 353-367
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
Spin-Peierls instability of deconfined quantum critical points
David Hofmeier, Josef Willsher, Urban F. P. Seifert and Johannes KnollePhysical Review B 110 (12) (2024)
https://doi.org/10.1103/PhysRevB.110.125130
Disordering complexion transition of grain boundaries in bcc metals: Insights from atomistic simulations
S. Starikov, A. Abbass, R. Drautz and M. MrovecActa Materialia 261 119399 (2023)
https://doi.org/10.1016/j.actamat.2023.119399
Dynamic renormalization group analysis of the chiral smectic-C to smectic-C phase transition
Prabir K. MukherjeeFerroelectrics 615 (1) 369 (2023)
https://doi.org/10.1080/00150193.2023.2262646
Melting Is Well-Known, but Is It Also Well-Understood?
Gijsbertus de WithChemical Reviews 123 (23) 13713 (2023)
https://doi.org/10.1021/acs.chemrev.3c00489
Emergent Kardar-Parisi-Zhang Phase in Quadratically Driven Condensates
Oriana K. Diessel, Sebastian Diehl and Alessio ChiocchettaPhysical Review Letters 128 (7) (2022)
https://doi.org/10.1103/PhysRevLett.128.070401
Dynamics of smectic-C liquid crystals in a stochastic magnetic field
Prabir K. MukherjeePhilosophical Magazine 101 (4) 479 (2021)
https://doi.org/10.1080/14786435.2020.1843727
How ice grows from premelting films and water droplets
David N. Sibley, Pablo Llombart, Eva G. Noya, Andrew J. Archer and Luis G. MacDowellNature Communications 12 (1) (2021)
https://doi.org/10.1038/s41467-020-20318-6
Surface phase transitions and crystal habits of ice in the atmosphere
Pablo Llombart, Eva G. Noya and Luis G. MacDowellScience Advances 6 (21) (2020)
https://doi.org/10.1126/sciadv.aay9322
Springer Handbook of Surface Science
Gianangelo Bracco and Andrea Claudio LeviSpringer Handbooks, Springer Handbook of Surface Science 3 (2020)
https://doi.org/10.1007/978-3-030-46906-1_1
Coalescence of isotropic droplets in overheated free standing smectic films
Elena S. Pikina, Boris I. Ostrovskii and Sergey A. PikinSoft Matter 16 (19) 4591 (2020)
https://doi.org/10.1039/C9SM02292A
Structure and fluctuations of the premelted liquid film of ice at the triple point
Jorge Benet, Pablo Llombart, Eduardo Sanz and Luis G. MacDowellMolecular Physics 117 (20) 2846 (2019)
https://doi.org/10.1080/00268976.2019.1583388
Novel universality classes in ferroelectric liquid crystals
Amit K Chattopadhyay and Prabir K. MukherjeeJournal of Molecular Liquids 249 397 (2018)
https://doi.org/10.1016/j.molliq.2017.11.018
Theory of metal-insulator transitions in graphite under high magnetic field
Zhiming Pan, Xiao-Tian Zhang and Ryuichi ShindouPhysical Review B 98 (20) (2018)
https://doi.org/10.1103/PhysRevB.98.205121
Reference Module in Materials Science and Materials Engineering
Vassilis Pontikis and Shanmugasundaram SivarajanReference Module in Materials Science and Materials Engineering (2017)
https://doi.org/10.1016/B978-0-12-803581-8.03316-6
Transport properties of density wave phases in three-dimensional metals and semimetals under high magnetic field
Xiao-Tian Zhang and Ryuichi ShindouPhysical Review B 95 (20) (2017)
https://doi.org/10.1103/PhysRevB.95.205108
Early Onset of Kinetic Roughening due to a Finite Step Width in Hematin Crystallization
Katy N. Olafson, Jeffrey D. Rimer and Peter G. VekilovPhysical Review Letters 119 (19) (2017)
https://doi.org/10.1103/PhysRevLett.119.198101
Effect of an external field on capillary waves in a dipolar fluid
Jason P. Koski, Stan G. Moore, Gary S. Grest and Mark J. StevensPhysical Review E 96 (6) (2017)
https://doi.org/10.1103/PhysRevE.96.063106
Noisy-flow-induced instability in a reaction-diffusion system
Shibashis Paul, Shyamolina Ghosh and Deb Shankar RayPhysical Review E 94 (6) (2016)
https://doi.org/10.1103/PhysRevE.94.062217
Review: grain boundary faceting–roughening phenomena
B. B. Straumal, O. A. Kogtenkova, A. S. Gornakova, V. G. Sursaeva and B. BaretzkyJournal of Materials Science 51 (1) 382 (2016)
https://doi.org/10.1007/s10853-015-9341-1
Dynamics of cholesteric liquid crystals in the presence of random magnetic fields
Amit K. Chattopadhyay and Prabir K. MukherjeeEPL (Europhysics Letters) 112 (6) 60002 (2015)
https://doi.org/10.1209/0295-5075/112/60002
Amazing growth of helium crystal facets
Vladimir L. TsymbalenkoUspekhi Fizicheskih Nauk 185 (11) 1163 (2015)
https://doi.org/10.3367/UFNr.0185.201511b.1163
Amazing growth of helium crystal facets
V L TsymbalenkoPhysics-Uspekhi 58 (11) 1059 (2015)
https://doi.org/10.3367/UFNe.0185.201511b.1163
Thinning and thickening of free-standing smectic films revisited
Elena S. Pikina, Boris I. Ostrovskii and Wim H. de JeuThe European Physical Journal E 38 (3) (2015)
https://doi.org/10.1140/epje/i2015-15013-8
Dichotomous-noise-induced pattern formation in a reaction-diffusion system
Debojyoti Das and Deb Shankar RayPhysical Review E 87 (6) (2013)
https://doi.org/10.1103/PhysRevE.87.062924
Scale-coupling and interface-pinning effects in the phase-field-crystal model
Zhi-Feng HuangPhysical Review E 87 (1) (2013)
https://doi.org/10.1103/PhysRevE.87.012401
Correlation functions in the prethermalized regime after a quantum quench of a spin chain
Aditi MitraPhysical Review B 87 (20) (2013)
https://doi.org/10.1103/PhysRevB.87.205109
Composite pairing and superfluidity in a one-dimensional resonant Bose-Fermi mixture
Shimul Akhanjee, Masahisa Tsuchiizu and Akira FurusakiPhysical Review A 88 (4) (2013)
https://doi.org/10.1103/PhysRevA.88.043620
Thermalization and dissipation in out-of-equilibrium quantum systems: A perturbative renormalization group approach
Aditi Mitra and Thierry GiamarchiPhysical Review B 85 (7) (2012)
https://doi.org/10.1103/PhysRevB.85.075117
Two-dimensional Dirac fermions in the presence of long-range correlated disorder
Andrei A. Fedorenko, David Carpentier and Edmond OrignacPhysical Review B 85 (12) (2012)
https://doi.org/10.1103/PhysRevB.85.125437
Scale Invariance
Annick Lesne and Michel LaguësScale Invariance 259 (2012)
https://doi.org/10.1007/978-3-642-15123-1_8
Equilibrium and non-equilibrium thermodynamics of templating reactions for the formation of nanowires
Scott M D Watson, Andrew Houlton and Benjamin R HorrocksNanotechnology 23 (50) 505603 (2012)
https://doi.org/10.1088/0957-4484/23/50/505603
Dynamics and universality in noise-driven dissipative systems
Emanuele G. Dalla Torre, Eugene Demler, Thierry Giamarchi and Ehud AltmanPhysical Review B 85 (18) (2012)
https://doi.org/10.1103/PhysRevB.85.184302
Anisotropy ofcfacets of4He crystal
I. A. Todoshchenko, M. S. Manninen and A. Ya. ParshinPhysical Review B 84 (7) (2011)
https://doi.org/10.1103/PhysRevB.84.075132
Decomposition Controlled by Surface Morphology during Langmuir Evaporation of GaAs
J. Tersoff, D. E. Jesson and W. X. TangPhysical Review Letters 105 (3) (2010)
https://doi.org/10.1103/PhysRevLett.105.035702
Structural Phase Control in Self-Catalyzed Growth of GaAs Nanowires on Silicon (111)
Peter Krogstrup, Ronit Popovitz-Biro, Erik Johnson, et al.Nano Letters 10 (11) 4475 (2010)
https://doi.org/10.1021/nl102308k
Nuclear Spin Ordering on the Surface of aHe3Crystal: Magnetic Steps
I. A. Todoshchenko, H. Alles, H. J. Junes, M. S. Manninen and A. Ya. ParshinPhysical Review Letters 102 (24) (2009)
https://doi.org/10.1103/PhysRevLett.102.245302
“Elastic” fluctuation-induced effects in smectic wetting films
E. S. PikinaJournal of Experimental and Theoretical Physics 109 (5) 885 (2009)
https://doi.org/10.1134/S1063776109110168
Progress in Physical Chemistry Volume 2
Heiko Rieger, Raja Paul, Jae-Dong Noh and Grégory SchehrProgress in Physical Chemistry Volume 2 209 (2008)
https://doi.org/10.1524/9783486598674.209
Devil’s Staircase of Facets on the Surface ofHe4Crystals
I. A. Todoshchenko, H. Alles, H. J. Junes, M. S. Manninen and A. Ya. ParshinPhysical Review Letters 101 (25) (2008)
https://doi.org/10.1103/PhysRevLett.101.255302
Computer Simulations of Phase Transitions and Dynamics in Confined Systems
Heiko Rieger, Raja Paul, Jae-Dong Noh and Gregory SchehrZeitschrift für Physikalische Chemie 222 (2-3) 433 (2008)
https://doi.org/10.1524/zpch.2008.222.2-3.433
Non-Linear Dynamics Near and Far from Equilibrium
Non-Linear Dynamics Near and Far from Equilibrium 185 (2007)https://doi.org/10.1007/978-1-4020-5388-7_7
Growth Dynamics and Faceting of 3He Crystals
Igor A. Todoshchenko, Harry Alles, Heikki J. Junes, Alexander Y. Parshin and Viktor TsepelinJournal of Low Temperature Physics 148 (5-6) 635 (2007)
https://doi.org/10.1007/s10909-007-9431-9
First Observation of the Critical Size of Facets on 3He Crystals near 1 mK
H. J. Junes, H. Alles, A. Ya. Parshin, I. A. Todoshchenko and V. TsepelinJournal of Low Temperature Physics 146 (1-2) 85 (2007)
https://doi.org/10.1007/s10909-006-9268-7
Ground-state properties of a large Coulomb-blockaded quantum dot
Eugene B. Kolomeisky, Michael Timmins and Ryan M. KalasPhysical Review B 74 (24) (2006)
https://doi.org/10.1103/PhysRevB.74.245124
Thermal effects in the anomalous growth of helium crystals
V. L. TsymbalenkoJournal of Experimental and Theoretical Physics 103 (6) 869 (2006)
https://doi.org/10.1134/S1063776106120041
Principles of Vapor Deposition of Thin Films
K.S. Sree HarshaPrinciples of Vapor Deposition of Thin Films 685 (2006)
https://doi.org/10.1016/B978-008044699-8/50009-7
Kinematic multiplication of elementary steps on the surface of helium crystals
A. Ya. Parshin and V. L. TsymbalenkoJournal of Experimental and Theoretical Physics 103 (2) 278 (2006)
https://doi.org/10.1134/S1063776106080115
The surface of helium crystals
Sébastien Balibar, Harry Alles and Alexander Ya. ParshinReviews of Modern Physics 77 (1) 317 (2005)
https://doi.org/10.1103/RevModPhys.77.317
Phase transition in tensionless surfaces
J.J. Ruiz-Lorenzo, R. Cuerno, E. Moro and A. SánchezBiophysical Chemistry 115 (2-3) 187 (2005)
https://doi.org/10.1016/j.bpc.2004.12.025
Nonequilibrium dynamics below the super-roughening transition
Gregory Schehr and Heiko RiegerPhysical Review B 71 (18) (2005)
https://doi.org/10.1103/PhysRevB.71.184202
The Roughening of Crystal Surfaces in Helium: Comments on Quantum Fluctuations and the Coupling Strength
Sébastien BalibarJournal of Low Temperature Physics 139 (5-6) 487 (2005)
https://doi.org/10.1007/s10909-005-5428-4
Measurements on the Surface Tension of 3He Crystals near 100 mK
Igor A. Todoshchenko, Harry Alles, Heikki J. Junes, Alexander Ya. Parshin and Viktor TsepelinJournal of Low Temperature Physics 138 (3-4) 811 (2005)
https://doi.org/10.1007/s10909-005-2307-y
Surface of aHe3Crystal: Crossover from Quantum to Classical Behavior
I. A. Todoshchenko, H. Alles, H. J. Junes, A. Ya. Parshin and V. TsepelinPhysical Review Letters 93 (17) (2004)
https://doi.org/10.1103/PhysRevLett.93.175301
Velocity-force characteristics of an interface driven through a periodic potential
A. M. Ettouhami and Leo RadzihovskyPhysical Review B 67 (11) (2003)
https://doi.org/10.1103/PhysRevB.67.115412
Kinetic aspects of thermodynamical instabilities
Jacques VillainComptes Rendus. Physique 4 (1) 201 (2003)
https://doi.org/10.1016/S1631-0705(03)00002-1
Morphology and Growth Kinetics of 3He Crystals Below 1 mK
Viktor Tsepelin, Harry Alles, Alexei Babkin, Reyer Jochemsen, Alexander Ya. Parshin and Igor A. TodoshchenkoJournal of Low Temperature Physics 129 (5-6) 489 (2002)
https://doi.org/10.1023/A:1021416630479
Encyclopedia of Materials: Science and Technology
V. PontikisEncyclopedia of Materials: Science and Technology 9058 (2001)
https://doi.org/10.1016/B0-08-043152-6/01634-X
Philippe Nozières: Feenberg Medalist 2001. Microscopic and Phenomenological Foundations of the Theory of Quantum Many-Body Systems
A. J. Leggett, E. Krotscheck and J. W. NegeleJournal of Low Temperature Physics 124 (3-4) 411 (2001)
https://doi.org/10.1023/A:1017984413443
Foreign body induced kinetic roughening: Kinetics and observations
Xiang Yang Liu and P. BennemaThe Journal of Chemical Physics 115 (9) 4268 (2001)
https://doi.org/10.1063/1.1391256
Exact multilocal renormalization group and applications to disordered problems
Pascal Chauve and Pierre Le DoussalPhysical Review E 64 (5) (2001)
https://doi.org/10.1103/PhysRevE.64.051102
Variational mean-field study of a continuum model of crystalline tensionless surfaces
Esteban Moro and Rodolfo CuernoPhysical Review E 63 (3) (2001)
https://doi.org/10.1103/PhysRevE.63.036104
Reconstructed rough growing interfaces: Ridge-line trapping of domain walls
Chen-Shan Chin and Marcel den NijsPhysical Review E 64 (3) (2001)
https://doi.org/10.1103/PhysRevE.64.031606
Facet Growth under Stress: The Limits of Strained-Layer Stability
J. TersoffPhysical Review Letters 87 (15) (2001)
https://doi.org/10.1103/PhysRevLett.87.156101
From two-dimensional heterogeneous nucleation-induced kinetic roughening to needle-like pattern formation
Xiang Y. LiuApplied Physics Letters 79 (22) 3603 (2001)
https://doi.org/10.1063/1.1421417
Stress and Strain in Epitaxy
M.C. Desjonquères and D. SpanjaardStress and Strain in Epitaxy 63 (2001)
https://doi.org/10.1016/B978-044450865-2/50004-0
Dynamic renormalization group study of a generalized continuum model of crystalline surfaces
Rodolfo Cuerno and Esteban MoroPhysical Review E 65 (1) (2001)
https://doi.org/10.1103/PhysRevE.65.016110
Observation of Higher Order Facets onH3eCrystals
V. Tsepelin, H. Alles, A. Babkin, et al.Physical Review Letters 86 (6) 1042 (2001)
https://doi.org/10.1103/PhysRevLett.86.1042
Phase diagram for a Josephson network in a magnetic field
Joseph P. Straley and Eugene B. KolomeiskyPhysical Review B 61 (1) 92 (2000)
https://doi.org/10.1103/PhysRevB.61.92
Fluctuations in growth rate of gypsum crystals
V. F. Komarov, A. V. Severin and I. V. MelikhovCrystallography Reports 45 (2) 329 (2000)
https://doi.org/10.1134/1.171191
Effect of foreign particles on the growth of faceted crystal faces
X. Y. LiuThe Journal of Chemical Physics 113 (19) 8807 (2000)
https://doi.org/10.1063/1.1318739
Dynamic roughening: Nucleation and stochastic equations
Ugo Tartaglino and Andrea C LeviPhysica A: Statistical Mechanics and its Applications 277 (1-2) 83 (2000)
https://doi.org/10.1016/S0378-4371(99)00472-0
Dynamic renormalization group theory of superfluid helium films
A. D. Armour and R. M. BowleyPhysical Review B 60 (17) 12388 (1999)
https://doi.org/10.1103/PhysRevB.60.12388
Variational theory of preroughening
Santi Prestipino and Erio TosattiPhysical Review B 59 (4) 3108 (1999)
https://doi.org/10.1103/PhysRevB.59.3108
Jump kinetics on the Fibonacci quasilattice. Exactly solvable model of the layer growth and dislocation kinetics in quasicrystals
M. A. FradkinJournal of Experimental and Theoretical Physics Letters 69 (8) 570 (1999)
https://doi.org/10.1134/1.567962
Ice Physics and the Natural Environment
J. S. WettlauferIce Physics and the Natural Environment 39 (1999)
https://doi.org/10.1007/978-3-642-60030-2_4
The first direct observations of the giant growth rate in He crystallization
V.L. TsymbalenkoPhysics Letters A 257 (3-4) 209 (1999)
https://doi.org/10.1016/S0375-9601(99)00306-0
Spontaneous Pattern Formation on Ion Bombarded Si(001)
Jonah Erlebacher, Michael J. Aziz, Eric Chason, Michael B. Sinclair and Jerrold A. FloroPhysical Review Letters 82 (11) 2330 (1999)
https://doi.org/10.1103/PhysRevLett.82.2330
Dynamical transitions and sliding friction in the two-dimensional Frenkel-Kontorova model
Enzo Granato and S. C. YingPhysical Review B 59 (7) 5154 (1999)
https://doi.org/10.1103/PhysRevB.59.5154
Effect of Screw Dislocations on the Roughening Transition
A. D. Armour, R. M. Bowley and P. NozièresJournal of Low Temperature Physics 110 (1-2) 127 (1998)
https://doi.org/10.1023/A:1022527104007
Renormalization group study of Mullins’ equation for molecular beam epitaxy with conserved noise
Pui-Man Lam and Diola BagayokoPhysica A: Statistical Mechanics and its Applications 250 (1-4) 495 (1998)
https://doi.org/10.1016/S0378-4371(97)00649-3
Equilibrium dynamics of the roughening transition in -dimensional systems
Yan-Chr TsaiJournal of Physics A: Mathematical and General 31 (10) 2359 (1998)
https://doi.org/10.1088/0305-4470/31/10/011
Anomalous growth of a 4He crystal near the roughening transition
V.L TsymbalenkoPhysics Letters A 248 (2-4) 267 (1998)
https://doi.org/10.1016/S0375-9601(98)00641-0
Kinetic roughening of the Kossel (100) surface: comparison of classical criteria with Monte Carlo results
E. van Veenendaal, P.J.C.M. van Hoof, J. van Suchtelen, W.J.P. van Enckevort and P. BennemaSurface Science 417 (1) 121 (1998)
https://doi.org/10.1016/S0039-6028(98)00676-1
Crystalline lattice effects on tensionless surface dynamics
Esteban Moro, Rodolfo Cuerno and Angel SánchezMicroelectronic Engineering 43-44 497 (1998)
https://doi.org/10.1016/S0167-9317(98)00210-X
The Selected Works of John W. Cahn
John W. Cahn, W.B. Hillig and G.W. SearsThe Selected Works of John W. Cahn 207 (1998)
https://doi.org/10.1002/9781118788295.ch21
Theory and simulation of crystal growth
Andrea C Levi and Miroslav KotrlaJournal of Physics: Condensed Matter 9 (2) 299 (1997)
https://doi.org/10.1088/0953-8984/9/2/001
A Monte Carlo simulation method for {111} surfaces of silicon and other diamond-cubic materials
Donald L. Woodraska and John A. JaszczakSurface Science 374 (1-3) 319 (1997)
https://doi.org/10.1016/S0039-6028(96)01201-0
Roughening of a growing surface on a crystal with correlated disorder: Influence of nonlinearity
Sutapa MukherjiPhysical Review E 55 (6) 6459 (1997)
https://doi.org/10.1103/PhysRevE.55.6459
Extended universality of the surface curvature in equilibrium crystal shapes
Jae Dong Noh and Doochul KimPhysical Review E 56 (1) 355 (1997)
https://doi.org/10.1103/PhysRevE.56.355
Mechanisms of strain induced roughening and dislocation multiplication in SixGe1-xthin films
D. E. Jesson, K. M. Chen, S. J. Pennycook, T. Thundat and R. J. WarmackJournal of Electronic Materials 26 (9) 1039 (1997)
https://doi.org/10.1007/s11664-997-0241-2
The effect of dislocations on the roughening transition in the weak coupling approximation
R. M. Bowley and A. D. ArmourJournal of Low Temperature Physics 107 (1-2) 225 (1997)
https://doi.org/10.1007/BF02396843
Simulation ofHe3crystal shapes
A. Gemintern, S. G. Lipson and J. AdlerPhysical Review B 55 (23) 15441 (1997)
https://doi.org/10.1103/PhysRevB.55.15441
Zero temperature landscape of the random sine-Gordon model
Angel Sánchez, A.R. Bishop, David Cai, Niels Grønbech-Jensen and Francisco Domínguez-AdamePhysica D: Nonlinear Phenomena 107 (2-4) 326 (1997)
https://doi.org/10.1016/S0167-2789(97)00101-2
Roughening and Preroughening of Diamond-Cubic{111}Surfaces
Donald L. Woodraska and John A. JaszczakPhysical Review Letters 78 (2) 258 (1997)
https://doi.org/10.1103/PhysRevLett.78.258
Glass phase of two-dimensional triangular elastic lattices with disorder
David Carpentier and Pierre Le DoussalPhysical Review B 55 (18) 12128 (1997)
https://doi.org/10.1103/PhysRevB.55.12128
Near-equilibrium dynamics of depinning transition of 1D crystalline interface in random environment
Yan-Chr TsaiPhysica A: Statistical Mechanics and its Applications 241 (3-4) 549 (1997)
https://doi.org/10.1016/S0378-4371(97)00125-8
Equilibrium Shapes and Properties of Epitaxially Strained Islands
B. J. Spencer and J. TersoffPhysical Review Letters 79 (24) 4858 (1997)
https://doi.org/10.1103/PhysRevLett.79.4858
Growth Dynamics of Crystalline Tensionless Surfaces
Esteban Moro, Rodolfo Cuerno and Angel SánchezPhysical Review Letters 78 (26) 4982 (1997)
https://doi.org/10.1103/PhysRevLett.78.4982
Nature of Resistive Transitions in Josephson Networks in a Magnetic Field
Joseph P. Straley, Alexander Y. Morozov and Eugene B. KolomeiskyPhysical Review Letters 79 (13) 2534 (1997)
https://doi.org/10.1103/PhysRevLett.79.2534
Statistics of TiO2 crystal growth in air on a metallic surface heated at temperatures in the range of 900–1100°C
Viorel Badescu and Magdalena MomirlanJournal of Crystal Growth 169 (2) 309 (1996)
https://doi.org/10.1016/S0022-0248(96)00404-6