By Sushanta Dattagupta

This e-book presents an summary of ways diversified problems with Magnetism have implications for different components of physics. recognition could be interested in assorted facets of many-body physics, which first seemed in Magnetism yet have had deep influence in numerous branches of physics. every one of those features could be illustrated schematically and by way of actual examples, selected from multicritical phenomena, quantum part transition, spin glasses, leisure, section ordering and quantum dissipation. a different characteristic of this publication is a unified and coherent dialogue of magnetic phenomena, offered in a lucid and pedagogical demeanour.

Contents: An collection of Well-Established techniques; Quantum section Transition: Transverse Ising version and different platforms; Glass Transitions; rest results; reminiscence in Nanomagnets; Dissipative Quantum platforms.

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The black dot in Fig. 7, is a tricritical point, as discussed above. While the tricritical phenomenon in UO2 takes place in the absence of an external magnetic field, first-order phase transitions are known to occur in magnets to which an external magnetic 20 A Paradigm Called Magnetism field is applied. Such systems are known as meta-magnets. A case in point is the system of FeCl2 which belongs to a class of meta-magnets that exhibit a tricritical point [36]. The mechanism is discussed below. Fig.

As the temperature becomes larger the time window becomes progressively narrower, and ultimately at a sufficiently high temperature determined by system properties, there is no time scale left within which the coherence effects can be detected. Appropriately therefore, ߱଴ may be referred to as the ‘quantal frequency’. Now, for a system undergoing phase transition at a finite temperature the quantal frequency at Tc remains finite and larger than the corresponding critical frequency ߱଴ . Hence, on time scales over which the statistical fluctuations of the underlying order parameter are relevant, the system has already lost its quantum coherence properties.

1, we discuss one of these magnetic paradigms called 47 48 A Paradigm Called Magnetism a Magnetic Glass, which is simply a cousin of our earlier studied system of LiHoF4 in which the rare earth Ho is randomly replaced by another rare-earth element Y (Yittrium) which is nonmagnetic, however [66]. The system of Li(Ho)x Y1-xF4 in a magnetic field, applied transverse to the c-axis, provides a disordered version of the TIM, discussed in Chapter 2, and is logically referred to as a Quantum Glass, which is the topic of Sec.

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