One-dimensionalXXZmodel for particles obeying fractional statistics
نویسندگان
چکیده
منابع مشابه
Statistical correlations in an ideal gas of particles obeying fractional exclusion statistics.
After a brief discussion of the concepts of fractional exchange and fractional exclusion statistics, we report partly analytical and partly numerical results on thermodynamic properties of assemblies of particles obeying fractional exclusion statistics. The effect of dimensionality is one focal point, the ratio mu/k_(B)T of chemical potential to thermal energy being obtained numerically as a fu...
متن کاملec 1 99 6 Properties of Particles Obeying Ambiguous Statistics
A new class of identical particles which may exhibit both Bose and Fermi statistics with respective probabilities pb and pf is introduced. Such an uncertainity may be either an intrinsic property of a particle or can be viewed as an “experimental uncertainity”. Statistical equivalence of such particles and particles obeying parastatistics of infinite order is shown. Generalized statistical dist...
متن کاملQuantum Statistical Mechanics of Ideal Gas Obeying Fractional Exclusion Statistics: A Systematic Study
The quantum statistical mechanics of an ideal gas with a general free-particle energy obeying fractional exclusion statistics are systematically investigated in arbitrary dimensions. The pressure relations, the relation between pressure and internal energy, the equation of state, as well as the thermodynamic properties are thoroughly discussed. Some novel results are obtained. PACS numbers: 05....
متن کاملAn explicit realization of fractional statistics in one dimension
An explicit realization of anyons is provided, using the three-body Calogero model. The fact that in the coupling domain, −1/4 < g < 0, the angular spectrum can have a band structure, leads to the manifestation of the desired phase in the wave function, under the exchange of the paticles. Concurrently, the momentum corresponding to the angular variable is quantized, exactly akin to the relative...
متن کاملBetter logic obeying a zero-one law
We study zero-one laws for random graphs. We focus on the following question that was asked by many: Given a graph property P , is there a language of graphs able to express P while obeying the zeroone law? Our results show that on the one hand there is a (regular) language able to express connectivity and k-colorability for any constant k and still obey the zero-one law. On the other hand we s...
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 B
سال: 1998
ISSN: 0163-1829,1095-3795
DOI: 10.1103/physrevb.58.r1703