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Strong Fermion Interactions in Fractional Quantum Hall States

Strong Fermion Interactions in Fractional Quantum Hall States
Author: Shashikant Mulay
Publisher: Springer
Total Pages: 156
Release: 2018-10-26
Genre: Technology & Engineering
ISBN: 3030004945

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This monograph presents an intuitive theory of trial wave functions for strongly interacting fermions in fractional quantum Hall states. The correlation functions for the proposed fermion interactions follow a novel algebraic approach that harnesses the classical theory of invariants and semi-invariants of binary forms. This approach can be viewed as a fitting and far-reaching generalization of Laughlin’s approach to trial wave functions. Aesthetically viewed, it illustrates an attractive symbiosis between the theory of invariants and the theory of correlations. Early research into numerical diagonalization computations for small numbers of electrons shows strong agreement with the constructed trial wave functions.The monograph offers researchers and students of condensed matter physics an accessible discussion of this interesting area of research.


Strongly Correlated Fermi Systems

Strongly Correlated Fermi Systems
Author: Miron Amusia
Publisher: Springer
Total Pages: 380
Release: 2020-07-17
Genre: Technology & Engineering
ISBN: 9783030503581

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This book focuses on the topological fermion condensation quantum phase transition (FCQPT), a phenomenon that reveals the complex behavior of all strongly correlated Fermi systems, such as heavy fermion metals, quantum spin liquids, quasicrystals, and two-dimensional systems, considering these as a new state of matter. The book combines theoretical evaluations with arguments based on experimental grounds demonstrating that the entirety of very different strongly correlated Fermi systems demonstrates a universal behavior induced by FCQPT. In contrast to the conventional quantum phase transition, whose physics in the quantum critical region are dominated by thermal or quantum fluctuations and characterized by the absence of quasiparticles, the physics of a Fermi system near FCQPT are controlled by a system of quasiparticles resembling the Landau quasiparticles. The book discusses the modification of strongly correlated systems under the action of FCQPT, representing the “missing” instability, which paves the way for developing an entirely new approach to condensed matter theory; and presents this physics as a new method for studying many-body objects. Based on the authors’ own theoretical investigations, as well as salient theoretical and experimental studies conducted by others, the book is well suited for both students and researchers in the field of condensed matter physics.


Strongly Coupled Fermions in Nature and the Laboratory

Strongly Coupled Fermions in Nature and the Laboratory
Author:
Publisher:
Total Pages:
Release: 2008
Genre:
ISBN:

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We report on recent work on the equation of state and pairing gap of neutron matter and cold atomic systems. Results of quantum Monte Carlo calculations show that the equations of state are very similar. The neutron matter pairing gap at low densities is found to be very large but, except at the smallest densities, significantly suppressed relative to cold atoms. We also discuss recent attempts to measure and extract the pairing gap in the fully paired superfluid state at unitarity.


Emergent Phenomena In Atomic Nuclei From Large-scale Modeling: A Symmetry-guided Perspective

Emergent Phenomena In Atomic Nuclei From Large-scale Modeling: A Symmetry-guided Perspective
Author: Kristina D Launey
Publisher: #N/A
Total Pages: 393
Release: 2017-07-05
Genre: Science
ISBN: 9813146060

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This book is a unique collection of reviews that share a common topic, emergent phenomena in atomic nuclei, while revealing the multifaceted nature of the subject, from quarks to heavy nuclei. It tells an amazing story of a decades-long journey of trials and successes, up to present days, with the aim to understand the vast array of experimental data and the fundamentals of strongly interacting fermions. The emphasis is on discovering emergent orderly patterns amidst the overarching complexity of many-particle quantum-mechanical systems. Recent findings are discussed within an interesting framework: a combination of nuclear theory and experiment, of group theory and computational science, and of pivotal models of astonishing simplicity and state-of-the-art models empowered by supercomputers.A special theme resonates throughout the book: the important role of symmetries, exact and approximate, in exposing emergent features and guiding large-scale nuclear modeling. World-renowned experts offer their unique perspective on symmetries in the world of quarks and gluons, and that of protons and neutrons — from chiral symmetry, through spin-isospin and quasi-spin symmetries, to symplectic symmetry, — as well as on the emergent nature of nuclear collectivity, clustering, and pairing, viewed from spectroscopy, microscopic considerations, and first principles. The book provides an excellent foundation that allows researchers and graduate students in physics and applied mathematics to review the current status of the subject, and to further explore the research literature through exhaustive sets of references that also point to studies underpinned by similar techniques in condensed matter and atomic physics along with quantum information.


Strongly-interacting Fermions in an Optical Lattice

Strongly-interacting Fermions in an Optical Lattice
Author: Jit Kee Chin
Publisher:
Total Pages: 138
Release: 2007
Genre:
ISBN:

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Two sets of studies are described in this thesis. The first describes studies conducted with sodium Bose-Einstein condensates (BEC) while the second focuses on the pairing of fermionic lithium-6 pairs in an optical lattice within the strongly interacting BEC-BCS regime. Common to both sets of studies is the use of a magnetically tunable Feshbach resonance to manipulate interactions between the atoms. In the first experiment, we destabilize a sodium BEC by switching its interactions from repulsive to attractive and studied the resulting dynamics. A local amplification of low momentum energetic instabilities was observed and the measured rate of amplification agreed well with theoretical predictions. For large condensates, this process depleted the condensate faster than the global inward collapse. Subsequently, I describe the major construction effort that was undertaken to convert our BEC machine to a two-species machine capable of cooling fermionic lithium-6. Upon its completion, we obtained a resonance superfluid of loosely bound 6Li pairs in the BECBCS crossover. When placed in a shallow optical lattice, long range phase coherence of this resonance superfluid was inferred from the presence of sharp interference peaks after ballistic expansion. With this observation we have obtained the first evidence of superfluidity of fermions in an optical lattice. A loss in phase coherence occurred when the lattice depth was increased past a critical value, possibly signaling a transition to an insulating state. Further preliminary explorations of this novel system is described followed by an outline of its potential for studying condensed matter phenomena like high temperature superconductivity.


Hubbard Model, The: Recent Results

Hubbard Model, The: Recent Results
Author: Mario G Rasetti
Publisher: World Scientific
Total Pages: 242
Release: 1991-07-03
Genre: Science
ISBN: 9814513962

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This collection of articles provides authoritative and up-to-date reviews on the Hubbard Model. It will be useful to graduate students and researchers in the field.


Bose-Einstein Condensation

Bose-Einstein Condensation
Author: A. Griffin
Publisher: Cambridge University Press
Total Pages: 622
Release: 1996-07-13
Genre: Science
ISBN: 9780521589901

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The first book devoted to Bose-Einstein condensation (BEC) as an interdisciplinary subject.