Access the full text.
Sign up today, get DeepDyve free for 14 days.
C. Newman, D. Stein (2000)
Nature of ground state incongruence in two-dimensional spin glassesPhysical review letters, 84 17
C. Newman, D. Stein (1997)
SIMPLICITY OF STATE AND OVERLAP STRUCTURE IN FINITE-VOLUME REALISTIC SPIN GLASSESPhysical Review E, 57
C. Newman (1997)
Topics in Disordered Systems
M. Loebl (2003)
Ground State Incongruence in 2D Spin Glasses RevisitedElectron. J. Comb., 11
T. Jackson, N. Read (2009)
Theory of minimum spanning trees. II. Exact graphical methods and perturbation expansion at the percolation threshold.Physical review. E, Statistical, nonlinear, and soft matter physics, 81 2 Pt 1
K. Binder, A. Young (1986)
Spin glasses: Experimental facts, theoretical concepts, and open questionsReviews of Modern Physics, 58
C. Newman, D. Stein (2003)
TOPICAL REVIEW: Ordering and broken symmetry in short-ranged spin glassesJournal of Physics: Condensed Matter
M. Palassini, A. Young (1999)
Evidence for a trivial ground-state structure in the two-dimensional Ising spin glassPhysical Review B, 60
M. Aizenman, J. Wehr (1990)
Rounding effects of quenched randomness on first-order phase transitionsCommunications in Mathematical Physics, 130
C. Newman, D. Stein (1994)
Spin-glass model with dimension-dependent ground state multiplicity.Physical review letters, 72 14
C. Newman, D. Stein (2001)
Are There Incongruent Ground States in 2D Edwards–Anderson Spin Glasses?Communications in Mathematical Physics, 224
A. Middleton (1999)
Numerical investigation of the thermodynamic limit for ground states in models with quenched disorderPhysical Review Letters, 83
M. Mézard, G. Parisi, M. Virasoro, D. Thouless (1987)
Spin Glass Theory and Beyond
K. Adkins (1974)
Theory of spin glasses
T. Jackson, N. Read (2009)
Theory of minimum spanning trees. I. Mean-field theory and strongly disordered spin-glass model.Physical review. E, Statistical, nonlinear, and soft matter physics, 81 2 Pt 1
C. Newman, D. Stein (1995)
Ground-state structure in a highly disordered spin-glass modelJournal of Statistical Physics, 82
C. Newman, D. Stein (1998)
Thermodynamic Chaos and the Structure of Short-Range Spin Glasses
D. Sherrington, S. Kirkpatrick (1975)
Solvable Model of a Spin-GlassPhysical Review Letters, 35
C. Newman, D. Stein (1996)
Metastate approach to thermodynamic chaosPhysical Review E, 55
C. Newman, D. Stein (1995)
Spatial inhomogeneity and thermodynamic chaos.Physical review letters, 76 25
We consider the Edwards-Anderson Ising spin glass model on the half-plane $${\mathbb{Z} \times \mathbb{Z}^+}$$ with zero external field and a wide range of choices, including mean zero Gaussian for the common distribution of the collection J of i.i.d. nearest neighbor couplings. The infinite-volume joint distribution $${\mathcal{K}(J,\alpha)}$$ of couplings J and ground state pairs α with periodic (respectively, free) boundary conditions in the horizontal (respectively, vertical) coordinate is shown to exist without need for subsequence limits. Our main result is that for almost every J, the conditional distribution $${\mathcal{K}(\alpha\,|\,J)}$$ is supported on a single ground state pair.
Communications in Mathematical Physics – Springer Journals
Published: Sep 10, 2010
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.