Fractional periodicity and magnetism of extended quantum rings
نویسندگان
چکیده
منابع مشابه
Extended Fractional Supersymmetric Quantum Mechanics
Recently, we presented a new class of quantum-mechanical Hamiltonians which can be written as the F th power of a conserved charge: H = Q with F = 2, 3, ... . This construction, called fractional supersymmetric quantum mechanics, was realized in terms of a paragrassmann variable θ of order F , which satisfies θ = 0. Here, we present an alternative realization of such an algebra in which the int...
متن کاملQuantum magnetism and criticality
Magnetic insulators have proved to be fertile ground for studying new types of quantum many body states, and I survey recent experimental and theoretical examples. The insights and methods transfer also to novel superconducting and metallic states. Of particular interest are critical quantum states, sometimes found at quantum phase transitions, which have gapless excitations with no particleor ...
متن کاملA weak periodicity condition for rings
An element x of the ring R is called periodic if there exist distinct positive integers m, n such that xm = xn; and x is potent if there exists n > 1 for which xn = x. We denote the set of potent elements by P or P(R), the set of nilpotent elements by N or N(R), the center by Z or Z(R), and the Jacobson radical by J or J(R). The ring R is called periodic if each of its elements is periodic, and...
متن کاملBoundedness versus Periodicity over Commutative Local Rings
Over commutative graded local artinian rings, examples are constructed of periodic modules of arbitrary minimal period and modules with bounded Betti numbers, which are not eventually periodic. They provide counterexamples to a conjecture of D. Eisenbud, that every module with bounded Betti numbers over a commutative local ring is eventually periodic of period 2 . It is proved however, that the...
متن کاملMesoscopic magnetism and quantum chaos
All seven physics STAIRSTEP students and 15 undergraduate students have participated to a talk about the orbital magnetic susceptibility of electrons in a rectangular box. Mesoscopic systems, such as small metal particles and quantum dots, exhibit many novel properties due to the coherent effect and finite-size quantization. In the mesoscopic regime, magnetic properties are sensitive to whether...
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: 2008
ISSN: 1098-0121,1550-235X
DOI: 10.1103/physrevb.77.155103