Two-Dimensional Ising Spin Glasses with Nonzero Ordering Temperatures
نویسندگان
چکیده
منابع مشابه
Two-dimensional ising spin glasses with nonzero ordering temperatures.
We demonstrate numerically that for Ising spins on square lattices with ferromagnetic second neighbour interactions and random near neighbour interactions, two dimensional Ising spin glass order with a non-zero freezing temperature can occur. We compare some of the physical properties of these spin glasses with those of standard spin glasses in higher dimensions. PACS: 75.50Lk – 64.60Cn Submitt...
متن کاملOrdering Temperatures and Critical Exponents in Ising Spin Glasses.
We propose a numerical criterion which can be used to obtain accurate and reliable values of the ordering temperatures and critical exponents of spin glasses. Using this method we find a value of the ordering temperature for the ±J Ising spin glass in three dimensions which is definitely non-zero and in good agreement with previous estimates. We show that the critical exponents of three dimensi...
متن کاملChaos and universality in two-dimensional Ising spin glasses
Recently extended precise numerical methods and droplet scaling arguments allow for a coherent picture of the glassy states of two-dimensional Ising spin glasses to be assembled. The length scale at which entropy becomes important and produces “chaos”, the extreme sensitivity of the state to temperature, is found to depend on the type of randomness. For the ±J model this length scale dominates ...
متن کاملReduction of two-dimensional dilute Ising spin glasses
The recently proposed reduction method is applied to the Edwards-Anderson model on bond-diluted square lattices. In combination with a graph-theoretical matching algorithm, this allows us to calculate numerically exact ground states of large systems. Low-temperature domain-wall excitations are studied to determine the stiffness exponent y2. A value of y2=−0.281 3 is found, consistent with previ...
متن کاملExact Ground States of Two-Dimensional J Ising Spin Glasses
In this paper we study the problem of nding an exact ground state of a two-dimensional J Ising spin glass on a square lattice with nearest neighbor interactions and periodic boundary conditions when there is a concentration p of negative bonds, with p ranging between 0:1 and 0:9. With our exact algorithm we can determine ground states of grids of sizes up to 50 50 in a moderate amount of comput...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review Letters
سال: 1996
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.76.4616