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Papers Published
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Ann B. Kallin, Matthew B. Hastings, Roger G. Melko, Rajiv R. P. Singh, Title: Anomalies in the Entanglement Properties of the Square Lattice Heisenberg Model,
Physical Review B, vol. 84
(2011),
pp. 165134 .
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Sergei V. Isakov, Matthew B. Hastings, Roger G. Melko, Title: Topological Entanglement Entropy of a Bose-Hubbard Spin Liquid,
Nature Physics, vol. 7
(2011),
pp. 772 .
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Rajiv R. P. Singh, Matthew B. Hastings, Ann B. Kallin, Roger G. Melko, Finite Temperature Critical Behavior of Mutual Information,
Physical Review Letters, vol. 106
(2011),
pp. 135701 .
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David Poulin, Matthew B. Hastings, Markov entropy decomposition: a variational dual for quantum belief propagation Authors:,
Physical Review Letters, vol. 106
(2011),
pp. 080403 .
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M.B. Hastings and T. A. Loring, Topological Insulators and C^*-Algebras: Theory and Numerical Practice Authors:,
Annals of Physics, vol. 326 no. 1699
(2011) .
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Mari Carmen BaƱuls, J. Ignacio Cirac, Matthew B. Hastings, Strong and weak thermalization of infinite non-integrable quantum systems,
Physical Review Letters, vol. 106
(2011),
pp. 050405 .
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Michael Freedman, Matthew B. Hastings, Chetan Nayak, Xiao-Liang Qi, Kevin Walker, and Zhenghan Wang, Projective ribbon permutation statistics: A remnant of non-Abelian braiding in higher dimensions,
Physical Review B, vol. 83
(2011),
pp. 115132 .
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M.B. Hastings, Topological Order at Non-zero Temperature,
Physical Review Letters, vol. 107
(2011),
pp. 210501 .
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S. Bravyi and M.B. Hastings, A short proof of stability of topological order under local perturbations,
Commun. Math. Phys.
(2011) .
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Gottesman, D. and Hastings, M. B., Entanglement versus gap for one-dimensional spin systems,
NEW JOURNAL OF PHYSICS, vol. 12
(2010) [doi] [abs]
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Melko, R. G. and Kallin, A. B. and Hastings, M. B., Finite-size scaling of mutual information in Monte Carlo simulations: Application to the spin-1/2 XXZ model,
PHYSICAL REVIEW B, vol. 82 no. 10
(2010) [doi] [abs]
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Hastings, M. B. and Loring, T. A., Almost commuting matrices, localized Wannier functions, and the quantum Hall effect,
JOURNAL OF MATHEMATICAL PHYSICS, vol. 51 no. 1
(2010) [doi] [abs]
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Bravyi, S. and Hastings, M. B. and Michalakis, S., Topological quantum order: Stability under local perturbations,
JOURNAL OF MATHEMATICAL PHYSICS, vol. 51 no. 9
(2010) [doi] [abs]
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Hastings, M. B. and Gonzalez, I. and Kallin, A. B. and Melko, R. G., Measuring Renyi Entanglement Entropy in Quantum Monte Carlo Simulations,
PHYSICAL REVIEW LETTERS, vol. 104 no. 15
(2010) [doi] [abs]
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Kallin, A. B. and Gonzalez, I. and Hastings, M. B. and Melko, R. G., Valence Bond and von Neumann Entanglement Entropy in Heisenberg Ladders,
PHYSICAL REVIEW LETTERS, vol. 103 no. 11
(2009) [doi] [abs]
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Hastings, M. B. and Harrow, A. W., CLASSICAL AND QUANTUM TENSOR PRODUCT EXPANDERS,
QUANTUM INFORMATION & COMPUTATION, vol. 9 no. 3-4
(2009),
pp. 336--360 [abs]
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Banuls, M. C. and Hastings, M. B. and Verstraete, F. and Cirac, J. I., Matrix Product States for Dynamical Simulation of Infinite Chains,
PHYSICAL REVIEW LETTERS, vol. 102 no. 24
(2009) [doi] [abs]
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Hastings, M. B., Quantum Adiabatic Computation with a Constant Gap Is Not Useful in One Dimension,
PHYSICAL REVIEW LETTERS, vol. 103 no. 5
(2009) [doi] [abs]
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Hastings, M. B., Light-cone matrix product,
JOURNAL OF MATHEMATICAL PHYSICS, vol. 50 no. 9
(2009) [doi] [abs]
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Hastings, M. B., Superadditivity of communication capacity using entangled inputs,
NATURE PHYSICS, vol. 5 no. 4
(2009),
pp. 255--257 [doi] [abs]
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Hastings, M. B., Making Almost Commuting Matrices Commute,
COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 291 no. 2
(2009),
pp. 321--345 [doi] [abs]
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Hastings, M. B., Inference from Matrix Products: A Heuristic Spin-Glass Algorithm,
PHYSICAL REVIEW LETTERS, vol. 101 no. 16
(2008) [doi] [abs]
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Wolf, M. M. and Verstraete, F. and Hastings, M. B. and Cirac, J. I., Area laws in quantum systems: Mutual information and correlations,
PHYSICAL REVIEW LETTERS, vol. 100 no. 7
(2008) [doi] [abs]
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Hastings, M. B., Topology and phases in fermionic systems,
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2008) [doi] [abs]
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Hastings, M. B., Observations outside the light cone: Algorithms for nonequilibrium and thermal states,
PHYSICAL REVIEW B, vol. 77 no. 14
(2008) [doi] [abs]
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Hastings, M. B., An area law for one-dimensional quantum systems,
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2007) [doi] [abs]
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Mozyrsky, D. and Martin, I. and Hastings, M. B. and Shnirman, A., Renormalization of resonant tunneling in MOSFETs,
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, vol. 4 no. 4
(2007),
pp. 772--776 [abs]
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Hastings, M. B., Entropy and entanglement in quantum ground states,
PHYSICAL REVIEW B, vol. 76 no. 3
(2007) [doi] [abs]
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Ben-Naim, E. and Hastings, M. B. and Izraelevitz, D., Statistics of partial minima,
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol. 40
(2007),
pp. F1021--F1030 [doi] [abs]
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Hastings, M. B., Quantum belief propagation: An algorithm for thermal quantum systems,
PHYSICAL REVIEW B, vol. 76 no. 20
(2007) [doi] [abs]
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Hastings, M. B., Quasi-adiabatic continuation in gapped spin and fermion systems: Goldstone's theorem and flux periodicity,
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2007) [doi] [abs]
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Hastings, M. B., Random unitaries give quantum expanders,
PHYSICAL REVIEW A, vol. 76
(2007) [doi] [abs]
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Kozma, B. and Hastings, M. B. and Korniss, G., Diffusion processes on small-world networks with distance dependent random links,
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2007) [doi] [abs]
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Hastings, M. B. and Koma, T., Spectral gap and exponential decay of correlations,
COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 265 no. 3
(2006),
pp. 781--804 [doi] [abs]
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Korniss, G. and Hastings, M. B. and Bassler, K. E. and Berryman, M. J. and Kozma, B. and Abbott, D., Scaling in small-world resistor networks,
PHYSICS LETTERS A, vol. 350
(2006),
pp. 324--330 [doi] [abs]
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Hastings, M. B., Solving gapped hamiltonians locally,
PHYSICAL REVIEW B, vol. 73 no. 8
(2006) [doi] [abs]
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Hastings, M. B. and Mudry, C., Universal scaling relations in strongly anisotropic materials,
PHYSICAL REVIEW LETTERS, vol. 96 no. 2
(2006) [doi] [abs]
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Bravyi, S. and Hastings, M. B. and Verstraete, F., Lieb-robinson bounds and the generation of correlations and topological quantum order,
PHYSICAL REVIEW LETTERS, vol. 97 no. 5
(2006) [doi] [abs]
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Amoruso, C. and Hartmann, A. K. and Hastings, M. B. and Moore, M. A., Conformal invariance and stochastic loewner evolution processes in two-dimensional Ising spin glasses,
PHYSICAL REVIEW LETTERS, vol. 97 no. 26
(2006) [doi] [abs]
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Praz, A. and Mudry, C. and Hastings, M. B., Scaling relations in the quasi-two-dimensional Heisenberg antiferromagnet,
PHYSICAL REVIEW B, vol. 74 no. 18
(2006) [doi] [abs]
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Mozyrsky, D. and Hastings, M. B. and Martin, I., Intermittent polaron dynamics: Born-Oppenheimer approximation out of equilibrium,
PHYSICAL REVIEW B, vol. 73 no. 3
(2006) [doi] [abs]
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Hastings, M. B., Community detection as an inference problem,
PHYSICAL REVIEW E, vol. 74 no. 3
(2006) [doi] [abs]
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Hastings, M. B., Systematic series expansions for processes on networks,
PHYSICAL REVIEW LETTERS, vol. 96 no. 14
(2006) [doi] [abs]
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Hastings, M. B. and Wen, X. G., Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance,
PHYSICAL REVIEW B, vol. 72 no. 4
(2005) [doi] [abs]
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Hastings, M. B., Statistical mechanics of interfering links,
PHYSICAL REVIEW E, vol. 72 no. 1
(2005) [doi] [abs]
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Reichhardt, C. and Reichhardt, C. J. O. and Hastings, M. B., Glassy ratchets for collectively interacting particles,
PHYSICS LETTERS A, vol. 342 no. 1-2
(2005),
pp. 162--167 [doi] [abs]
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Drocco, J. A. and Hastings, M. B. and Reichhardt, C. J. O. and Reichhardt, C., Multiscaling at point J: Jamming is a critical phenomenon,
PHYSICAL REVIEW LETTERS, vol. 95 no. 8
(2005) [doi] [abs]
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Kozma, B. and Hastings, M. B. and Korniss, G., Processes on annealed and quenched power-law small-world networks,
Noise in Complex Systems and Stochastic Dynamics III, vol. 5845
(2005),
pp. 130--138 [doi] [abs]
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Hastings, M. B., Sufficient conditions for topological order in insulators,
EUROPHYSICS LETTERS, vol. 70 no. 6
(2005),
pp. 824--830 [doi] [abs]
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Kozma, B. and Hastings, M. B. and Korniss, G., Diffusion processes on power-law small-world networks,
PHYSICAL REVIEW LETTERS, vol. 95 no. 1
(2005) [doi] [abs]
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Hastings, M. B., Lieb-Schultz-Mattis in higher dimensions,
PHYSICAL REVIEW B, vol. 69 no. 10
(2004) [doi] [abs]
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Hastings, M. B., Decay of correlations in Fermi systems at nonzero temperature,
PHYSICAL REVIEW LETTERS, vol. 93 no. 12
(2004) [doi] [abs]
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Hastings, M. B., Locality in quantum and Markov dynamics on lattices and networks,
PHYSICAL REVIEW LETTERS, vol. 93 no. 14
(2004) [doi] [abs]
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Reichhardt, C. and Reichhardt, C. J. O. and Hastings, M. B., Nonlinear dynamics, rectification, and phase locking for particles on symmetrical two-dimensional periodic substrates with dc and circular ac drives,
PHYSICAL REVIEW E, vol. 69
(2004) [doi] [abs]
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Kozma, B. and Hastings, M. B. and Korniss, G., Roughness scaling for Edwards-Wilkinson relaxation in small-world networks,
PHYSICAL REVIEW LETTERS, vol. 92 no. 10
(2004) [doi] [abs]
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Reichhardt, C. J. O. and Reichhardt, C. and Hastings, M. B. and Janko, B., Ratchet superconducting vortex cellular automata,
PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, vol. 404 no. 1-4
(2004),
pp. 266--272 [doi] [abs]
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Hastings, M. B., An epsilon-expansion for small-world networks,
EUROPEAN PHYSICAL JOURNAL B, vol. 42 no. 2
(2004),
pp. 297--301 [doi] [abs]
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Mozyrsky, D. and Martin, I. and Hastings, M. B., Quantum-limited sensitivity of single-electron-transistor-based displacement detectors,
PHYSICAL REVIEW LETTERS, vol. 92 no. 1
(2004) [doi] [abs]
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Hastings, M. B., Spin-orbit scattering and time-reversal symmetry: Detection of a spin by tunneling,
PHYSICAL REVIEW B, vol. 70 no. 16
(2004) [doi] [abs]
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Reichhardt, C. J. O. and Hastings, M. B., Do vortices entangle?,
PHYSICAL REVIEW LETTERS, vol. 92 no. 15
(2004) [doi] [abs]
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Hastings, M. B. and Reichhardt, C. J. O. and Reichhardt, C., Ratchet cellular automata,
PHYSICAL REVIEW LETTERS, vol. 90 no. 24
(2003) [doi] [abs]
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Hastings, M. B. and Reichhardt, C. J. O. and Reichhardt, C., Depinning by fracture in a glassy background,
PHYSICAL REVIEW LETTERS, vol. 90 no. 9
(2003) [doi] [abs]
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Hastings, M. B., Mean-field and anomalous behavior on a small-world network,
PHYSICAL REVIEW LETTERS, vol. 91 no. 9
(2003) [doi] [abs]
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Hastings, M. B. and Martin, I. and Mozyrsky, D., Quantum dynamics in nonequilibrium strongly correlated environments,
PHYSICAL REVIEW B, vol. 68 no. 3
(2003) [doi] [abs]
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Hastings, M. B., Random vibrational networks and the renormalization group,
PHYSICAL REVIEW LETTERS, vol. 90 no. 14
(2003) [doi] [abs]
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Reichhardt, C. and Olson, C. J. and Hastings, M. B., Rectification and phase locking for particles on symmetric two-dimensional periodic substrates,
PHYSICAL REVIEW LETTERS, vol. 89 no. 2
(2002) [doi] [abs]
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Hastings, M. B., Scale-invariant branch distribution from a soluble stochastic model,
JOURNAL OF STATISTICAL PHYSICS, vol. 107 no. 5-6
(2002),
pp. 1031--1042 [abs]
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Hastings, M. B. and Daya, Z. A. and Ben-Naim, E. and Ecke, R. E., Entropic tightening of vibrated chains,
PHYSICAL REVIEW E, vol. 66 no. 2
(2002) [doi] [abs]
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Hastings, M. B., Comment on 'Large-N theory of strongly commensurate dirty bosons: absence of a transition in two dimensions',
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol. 35 no. 10
(2002),
pp. 2519--2521 [abs]
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Hastings, M. B., Exact multifractal spectra for arbitrary Laplacian random walks,
PHYSICAL REVIEW LETTERS, vol. 88 no. 5
(2002) [doi] [abs]
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Hastings, M. B., Dielectric breakdown model at small eta: Pole dynamics,
PHYSICAL REVIEW E, vol. 65 no. 6
(2002) [doi] [abs]
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Hastings, M. B., Fractal to nonfractal phase transition in the dielectric breakdown model,
PHYSICAL REVIEW LETTERS, vol. 87 no. 17
(2001) [doi] [abs]
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Hastings, M. B., Dirac structure, RVB, and Goldstone modes in the kagome antiferromagnet,
PHYSICAL REVIEW B, vol. 63 no. 1
(2001) [abs]
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Hastings, M. B. and Halsey, T. C., High-dimensional diffusive growth,
EUROPHYSICS LETTERS, vol. 55 no. 5
(2001),
pp. 679--685 [abs]
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Hastings, M. B. and Sondhi, S. L., Breakdown of conformal invariance at strongly random critical points,
PHYSICAL REVIEW B, vol. 64 no. 9
(2001) [abs]
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Hastings, M. B., Growth exponents with 3.99 walkers,
PHYSICAL REVIEW E, vol. 64 no. 4
(2001) [abs]
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Hastings, M. B., Eigenvalue distribution in the self-dual non-hermitian ensemble,
JOURNAL OF STATISTICAL PHYSICS, vol. 103 no. 5-6
(2001),
pp. 903--913 [abs]
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Hastings, M. B., Bose glass in a large-N commensurate dirty boson model,
PHYSICAL REVIEW B, vol. 64 no. 2
(2001) [abs]
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Hastings, M. B., Fermionic mapping for eigenvalue correlation functions of weakly non-Hermitian symplectic ensemble,
NUCLEAR PHYSICS B, vol. 572 no. 3
(2000),
pp. 535--546 [abs]
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Hastings, M. B., Ground state and spin-class phase of the large-N infinite-range spin glass via supersymmetry,
JOURNAL OF STATISTICAL PHYSICS, vol. 99 no. 1-2
(2000),
pp. 171--217 [abs]
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Hastings, M. B., Renormalization group for the large-N strongly commensurate dirty boson model,
PHYSICAL REVIEW B, vol. 60 no. 13
(1999),
pp. 9755--9762 [abs]
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Hastings, M. B. and Levitov, L. S., Laplacian growth as one-dimensional turbulence,
PHYSICA D, vol. 116 no. 1-2
(1998),
pp. 244--252 [abs]
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Hastings, M. B., Non-Hermitian fermion mapping for one-component plasma,
JOURNAL OF STATISTICAL PHYSICS, vol. 90 no. 1-2
(1998),
pp. 311--326 [abs]
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Hastings, M. B., Renormalization theory of stochastic growth,
PHYSICAL REVIEW E, vol. 55 no. 1
(1997),
pp. 135--152 [abs]
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Hastings, M. B. and Levitov, L. S., Bragg resonances for tunneling between edges of a 2D quantum hall system,
PHYSICAL REVIEW LETTERS, vol. 77 no. 21
(1996),
pp. 4422--4425 [abs]
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HASTINGS, MB and STONE, AD and BARANGER, HU, INEQUIVALENCE OF WEAK-LOCALIZATION AND COHERENT BACKSCATTERING,
PHYSICAL REVIEW B, vol. 50 no. 12
(1994),
pp. 8230--8244 [abs]
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Papers Accepted
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S. V. Isakov, R. G. Melko, M.B. Hastings, Universal Signatures of Fractionalized Quantum Critical Points,
Science
(2011) .
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Michael Freedman, Matthew B. Hastings, Chetan Nayak, Xiao-Liang Qi, Weakly-Coupled non-Abelian Anyons in Three Dimensions,
Physical Review B
(2011) .
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Michael H. Freedman, Jan Gukelberger, Matthew B. Hastings, Simon Trebst, Matthias Troyer, Zhenghan Wang, Galois Conjugates of Topological Phases,
Physical Review B
(2011) .
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