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In this thesis we investigate the Renormalization Group (RG) approach in finite-dimensional glassy systems, whose critical features are still not well-established, or simply unknown.
Order parameter for spin-glasses
Parisi, G · 1946
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The nature of the glassy state and the behavior of liquids at low temperatures
Kauzmann, W · 1948
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Scaling laws for Ising models near T c T_{c}
Kadanoff, L. P · 1966
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Existence of a phase transition in a one-dimensional Ising ferromagnet
Dyson, F · 1969
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Broken scale invariance in scalar field theory
Callan, C · 1970
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Small distance behaviour in field theory and power counting
Symanzik, K · 1970
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Convergence condition of the TAP equation for the infinite-ranged Ising spin glass model
Plefka, T · 1971
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Renormalization group and critical phenomena. I. Renormalization group and the Kadanoff scaling picture
Wilson, K. G · 1971
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Renormalization group and critical phenomena. II. Phase-space cell analysis of critical behavior
Wilson, K. G · 1971
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Ising model with a scaling interaction
Baker Jr, G · 1972
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Viscous flow in simple organic liquids
Laughlin, W. T. and Uhlmann, D. R · 1972
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High temperature series for the susceptibility of the Ising model. II. Three dimensional lattices
Sykes, M., Gaunt, D., Roberts, P., and Wyles, J · 1972
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Feynman-graph expansion for critical exponents
Wilson, K. G · 1972
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Critical exponents in 3.99 3.99 dimensions
Wilson, K. G. and Fisher, M. E · 1972
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A selfconsistent theory of localization
Abou-Chacra, R., Thouless, D. J., and Anderson, P. W · 1973
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Investigation of the critical point in models of the type of Dyson’s hierarchical models
Bleher, P. and Sinai, J · 1973
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Investigation of the vicinity of the critical point in models of the type of Dyson’s hierarchical models
Bleher, P. M · 1973
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Quantum field-theory models in less than 4 4 dimensions
Wilson, K. G · 1973
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The renormalization group and the ϵ \epsilon expansion
Wilson, K. and Kogut, J · 1974
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Critical phenomena in 3.99 3.99 dimensions
Wilson, K. G · 1974
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Critical indices for models with long range forces (numerical calculations)
Bleher, P. M · 1975
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Critical indices for Dyson’s asymptotically-hierarchical models
Bleher, P. M. and Sinai, Y. G · 1975
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Theory of spin glasses
Edwards, S. and Anderson, P · 1975
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The renormalization group: A probabilistic view
Jona-Lasinio, G · 1975
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Transformation of an asymptotic series in a convergent one
Loeffel, J. J · 1975
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Interaction of Goldstone particles in two dimensions. Applications to ferromagnets and massive Yang-Mills fields
Polyakov, A. M · 1975
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Solvable model of a spin-glass
Sherrington, D. and Kirkpatrick, S · 1975
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Methods in field theory
Callan, C · 1976
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Critical properties of spin-glasses
Harris, A. B., Lubensky, T. C., and Chen, J.-H · 1976
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Fourier analysis on local fields
Taibleson, M · 1976
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Mean field and ε \varepsilon -expansion study of spin glasses
Chen, J. and Lubensky, T · 1977
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The ϵ \epsilon -expansion for the hierarchical model
Collet, P. and Eckmann, J. P · 1977
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A numerical test of Borel summability in the ϵ \epsilon -expansion of the hierarchical model
Collet, P., Eckmann, J. P., and Hirsbrunner, B · 1977
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Solution of ‘Solvable model of a spin-glass’
Thouless, D. J., Anderson, P. W., and Palmer, R. G · 1977
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Critical point behaviour and probability theory
Cassandro, M. and Jona-Lasinio, G · 1978
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A renormalization group analysis of the hierarchical model in statistical mechanics
Collet, P. and Eckmann, J · 1978
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Infinite-ranged models of spin-glasses
Kirkpatrick, S. and Sherrington, D · 1978
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Renormalization group calculations of finite systems: order parameter and specific heat for epitaxial ordering
Berker, A. and Ostlund, S · 1979
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Infinite number of order parameters for spin-glasses
Parisi, G · 1979
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Toward a mean field theory for spin glasses
Parisi, G · 1979
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The replica method and solvable spin glass model
van Hemmen, J. L. and Palmer, R. G · 1979
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Calculation of the critical indices by the methods of quantum field theory
Vladimirov, A. A., Kazakov, D. I., and Tarasov, O. V · 1979
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Analysis of Ising model critical exponents from high-temperature series expansion
Zinn-Justin, J · 1979
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Random-energy model: Limit of a family of disordered models
Derrida, B · 1980
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Statistical Physics: Course of Theoretical Physics, Vol. 5
Landau, L. and Lifshitz, E. M · 1980
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A sequence of approximated solutions to the SK model for spin glasses
Parisi, G · 1980
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The order parameter for spin glasses: A function on the interval 0 − 1 0-1
Parisi, G · 1980
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Critical properties of the random hierarchical model
Theumann, A · 1980
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Ferromagnetic and spin-glass behavior in the random hierarchical model
Theumann, A · 1980
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Five-loop calculations in the g ϕ 4 g\phi^{4} model and the critical index η \eta
Chetyrkin, K., Kataev, A., and Tkachov, F · 1981
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Integration by parts: The algorithm to calculate β \beta -functions in 4 4 loops
Chetyrkin, K. G. and Tkachov, F. V · 1981
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Random-energy model: An exactly solvable model of disordered systems
Derrida, B · 1981
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In Proceedings of the Cargese Summer Institute (edited by M. Lévy, J. C. Le Guillou and J. Zinn-Justin), vol. B72. Plenum (1982)
Phase transitions · 1982
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On the computational complexity of Ising spin glass models
Barahona, F · 1982
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Hierarchical models of spin glasses
Naimzhanov, A · 1982
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The renormalization group and critical phenomena, Nobel lecture, 8 December 1982
Wilson, K · 1982
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Five-loop renormalization group calculations in the g ϕ 4 g\phi^{4} theory
Chetyrkin, K. G., Gorishny, S. G., Larin, S. A., and Tkachov, F. V · 1983
Cited alongside, same era.
The method of uniqueness, a new powerful technique for multiloop calculations
Kazakov, D · 1983
Cited alongside, same era.
One-dimensional spin-glass model with long-range random interactions
Kotliar, G., Anderson, P., and Stein, D · 1983
Cited alongside, same era.
Hierarchical model of spin glass
Naimzhanov, A · 1983
Cited alongside, same era.
The renormalization group and critical phenomena
Wilson, K · 1983
Cited alongside, same era.
Spin-glass with long-range random exchange interaction
Chang, M. and Sak, J · 1984
Cited alongside, same era.
Aging phenomena in spin-glass and ferromagnetic phases: Domain growth and wall dynamics
Vincent, E., Dupuis, V., Alba, M., Hammann, J., and Bouchaud, J. P · 2000
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Lattice glass models
Biroli, G. and Mézard, M · 2001
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Renormalization group and probability theory
Jona-Lasinio, G · 2001
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Monte Carlo simulations of spin glasses at low temperatures
Katzgraber, H., Palassini, M., and Young, A · 2001
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The Bethe lattice spin glass revisited
Mézard, M. and Parisi, G · 2001
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Statistical physics of spin glasses and information processing: An introduction
Nishimori, H · 2001
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On spin glass fluctuations
de Dominicis, C. and Kondor, I · 1984
Cited alongside, same era.
A spin glass model on a hierarchical lattice
Gardner, E · 1984
Cited alongside, same era.
ϵ \epsilon -expansion for critical exponents: The O ( ϵ 5 ) O(\epsilon^{5}) approximation
Gorishny, S. G., Larin, S. A., and Tkachov, F. V · 1984
Cited alongside, same era.
Scaling theory of Ising spin glasses
McMillan, W. L · 1984
Cited alongside, same era.
Replica symmetry breaking and the nature of the spin glass phase
Mézard, M., Parisi, G., Sourlas, N., Toulouse, G., and Virasoro, M · 1984
Cited alongside, same era.
Monte Carlo renormalization-group calculations of critical behavior in the simple-cubic Ising model
Pawley, G. S., Swendsen, R. H., Wallace, D. J., and Wilson, K. G · 1984
Cited alongside, same era.
The viscous slowing down of supercooled liquids and the glass transition: phenomenology, concepts, and models
Tarjus, G. and Kivelson, D · 2001
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In Lecture notes in Slow Relaxation and Nonequilibrium Dynamics in Condensed Matter, Les Houches 2002 Summer School, Session 77 . Berlin (2002)
Bouchaud, J. P., Cugliandolo, L., Kurchan, J., and Mézard, M · 2002
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Aging, rejuvenation and memory effects in re-entrant ferromagnets
Dupuis, V., Vincent, E., Alba, M., and Hammann, J · 2002
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Analytic and algorithmic solution of random satisfiability problems
Mézard, M., Parisi, G., and Zecchina, R · 2002
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Random K K -satisfiability problem: From an analytic solution to an efficient algorithm
Mézard, M. and Zecchina, R · 2002
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Quantum field theory and critical phenomena
Zinn-Justin, J · 2002
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Broken replica symmetry bounds in the mean field spin glass model
Guerra, F · 2003
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Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions
Katzgraber, H. and Young, A · 2003
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Spin anisotropy and slow dynamics in spin glasses
Bert, F., Dupuis, V., Vincent, E., Hammann, J., and Bouchaud, J. P · 2004
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On the Adam-Gibbs-Kirkpatrick-Thirumalai-Wolynes scenario for the viscosity increase in glasses
Bouchaud, J. P. and Biroli, G · 2004
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Test of universality in the Ising spin glass using high temperature graph expansion
Daboul, D., Chang, I., and Aharony, A · 2004
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Absence of an Almeida-Thouless line in three-dimensional spin glasses
Young, A. and Katzgraber, H · 2004
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Spin-glass theory for pedestrians
Castellani, T. and Cavagna, A · 2005
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Parallel tempering: Theory, applications, and new perspectives
Earl, D. J. and Deem, M. W · 2005
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Probing the Almeida-Thouless line away from the mean-field model
Katzgraber, H. and Young, A · 2005
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The quantum theory of fields, Volume I: Foundations
Weinberg, S · 2005
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The quantum theory of fields, Volume II: Modern applications
Weinberg, S · 2005
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Random fields and spin-glasses: a field-theory approach
Dominicis, C. D. and Giardina, I · 2006
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Towards a fully automated computation of RG functions for the three-dimensional O ( N ) O(N) vector model: parametrizing amplitudes
Guida, R. and Ribeca, P · 2006
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Universality in three-dimensional Ising spin glasses: A Monte Carlo study
Katzgraber, H. G., Körner, M., and Young, A. P · 2006
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The Parisi formula
Talagrand, M · 2006
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Ultrametricity in the Edwards-Anderson model
Contucci, P., Giardinà, C., Giberti, C., Parisi, G., and Vernia, C · 2007
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The mysterious glass transition
Langer, J · 2007
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Critical exponents and the correlation length in the manganite spin glass Eu 0.5 Ba 0.5 MnO 3 \text{Eu}_{0.5}\text{Ba}_{0.5}\text{MnO}_{3}
Nair, S. and Nigam, A. K · 2007
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Phase transitions and renormalization group
Zinn-Justin, J · 2007
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Thermodynamic signature of growing amorphous order in glass-forming liquids
Biroli, G., Bouchaud, J. P., Cavagna, A., Grigera, T. S., and Verrocchio, P · 2008
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Contucci et al. reply:
Contucci, P., Giardinà, C., Giberti, C., Parisi, G., and Vernia, C · 2008
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Critical behavior of three-dimensional Ising spin glass models
Hasenbusch, M., Pelissetto, A., and Vicari, E · 2008
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Behavior of Ising spin glasses in a magnetic field
Jörg, T., Katzgraber, H., and Krzakala, F · 2008
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Comment on “Ultrametricity in the Edwards-Anderson model”
Jörg, T. and Krzakala, F · 2008
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Computer Simulation Studies in Condensed Matter Physics , vol. XXI
Katzgraber, H. G., Hartmann, A. K., and Young, A. P · 2008
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Dilute one-dimensional spin glasses with power law decaying interactions
Leuzzi, L., Parisi, G., Ricci-Tersenghi, F., and Ruiz-Lorenzo, J. J · 2008
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Slow relaxation, dynamic transitions, and extreme value statistics in disordered systems
van Duijvendijk, K., Schehr, G., and van Wijland, F · 2008
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An in-depth view of the microscopic dynamics of Ising spin glasses at fixed temperature
Belletti, F., et al · 2009
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The random first-order transition theory of glasses: a critical assessment (2009)
Biroli, G. and Bouchaud, J. P · 2009
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Structure of correlations in three dimensional spin glasses
Contucci, P., Giardinà, C., Giberti, C., Parisi, G., and Vernia, C · 2009
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Overlap interfaces in hierarchical spin-glass models
Franz, S., Jörg, T., and Parisi, G · 2009
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Ultrametricity and clustering of states in spin glasses: A one-dimensional view
Katzgraber, H. and Hartmann, A · 2009
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Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses
Katzgraber, H. G., Larson, D., and Young, A. P · 2009
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Ising spin-glass transition in a magnetic field outside the limit of validity of mean-field theory
Leuzzi, L., Parisi, G., Ricci-Tersenghi, F., and Ruiz-Lorenzo, J · 2009
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Information, Physics and Computation
Mézard, M. and Montanari, A · 2009
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Static versus dynamic heterogeneities in the d = 3 d=3 Edwards-Anderson Ising spin glass
Alvarez Baños, R., et al · 2010
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Nature of the spin-glass phase at experimental length scales
Baños, R. A., et al · 2010
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Hierarchical random energy model of a spin glass
Castellana, M., Decelle, A., Franz, S., Mézard, M., and Parisi, G · 2010
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Renormalization group computation of the critical exponents of hierarchical spin glasses
Castellana, M. and Parisi, G · 2010
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Ordered phase of the one-dimensional Ising spin glass with long-range interactions
Moore, M. A · 2010
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Renormalization group computation of the critical exponents of hierarchical spin glasses: Large-scale behavior and divergence of the correlation length
Castellana, M. and Parisi, G · 2011
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Real-space renormalization group analysis of a non-mean-field spin-glass
Castellana, M · 2011
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Private communication (2011)
Huse, D · 2011
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Disappearance of the de Almeida-Thouless line in six dimensions
Moore, M. A. and Bray, A. J · 2011
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