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  • 1
    Electronic Resource
    Electronic Resource
    Phase transition in aperiodic quantum Ising models (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 3901-3906 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Phase transition in the aperiodic quantum Ising models were studied, in which the transverse magnetic fields are uniform and the couplings are arranged according to the aperiodic sequences that are generated by two types of two-tile inflation rules with initial condition {ApBq}: A → A′=Am11Bm12, B →B′=Am21Bm22, m12, m21≠0, and A → A′=Am11Bm12, B → B′=Bm21Am22, m12, m22≠0. When the inflation rules have the Pisot–Vijayaraghavan (PV) property in number theory, the generated aperiodic systems undergo phase transition at the critical points. When the inflation rules do not have the PV property, it is found that only by changing the initial conditions, the inflation rules can produce aperiodic systems exhibiting phase transition as well as aperiodic systems which do not exhibit any phase transition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529837
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    On the interaction between two nonpropagating hydrodynamic solitons (1993)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 5 (1993), S. 1651-1656 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The evolution equation governing the positions of two interacting nonpropagating solitons is found by using the variational principle approach. Furthermore, the potential which characterizes the interaction between solitons is derived, from which some important results are obtained: (1) Two solitons with the same polarity always attract each other, while those with opposite polarity repel. (2) The repulsion is much weaker than the attraction and both attraction and repulsion are of short distance. (3) The period of mutual oscillation caused by interaction between two solitons with the same polarity increases as the drive amplitude rises; especially, the period can spread from zero to infinity as the initial distance between solitons increases. All the above results are well coincident with experiments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.858841
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    State transition in a family of generalized Fibonacci lattices (1992)
    Springer
    The European physical journal 87 (1992), S. 223-227 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We study the electronic properties of a family of generalized Fibonacci lattices associated with the sequences which are given by the inflation rule (A, B)→(AB n,A) withn〉1. Analytical and numerical analyses reveal the existence of a state transition phenomenon, i.e. a transition from the local density of states with a smooth behavior in some energy regions to another one without any smooth part.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01315652
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Electronic properties of one-dimensional quasiperiodic lattices: Green's function renormalization group approach (1993)
    Springer
    The European physical journal 91 (1993), S. 127-133 
    Details
    ISSN: 1434-6036
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Using the inflation-deflation symmetry, we have developed a new real-space decimation approach to study the electronic properties of one-dimensional quasiperiodic lattices. The key result is the construction of a compact renormalization group that allows simple calculation of the average Green's function and the average density of states to any degree. The Fibonacci and the generalized Fibonacci lattices are used to demonstrate the method. Numerical results for the average density of states of these lattices show a good agreement with the results obtained by other methods. This confirms the validity and the efficiency of the approach.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01316714
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  • 5
    Electronic Resource
    Electronic Resource
    An exact renormalization-group approach for local phonon properties of single-atom and double-atom generalized Fibonacci systems (1993)
    Springer
    The European physical journal 91 (1993), S. 467-474 
    Details
    ISSN: 1434-6036
    Keywords: 63.50.+x ; 71.20.Ad ; 61.42+h
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We present an exact renormalization-group approach to study the local phonon properties of the double-atom generalized Fibonacci systems in which the masses and spring constants are all associated with the aperiodic sequences constructed by the inflation rule: {A, B}→{A n Bm, A}.n(m+1) basic transformations and 2n(n+m−1)+1 basic decimations are introduced. By applying the combinations of derived transformations and decimations, we can determine exactly the renormalized local environment, up to infinite order, of any given site in the double-atom systems. Both the single-atom and double-atom phonon models are employed, and the local density of states in several sites of some generalized Fibonacci systems are numerically calculated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01316825
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