Symmetry and Symmetry Breaking in Quantum Mechanics II

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (15 October 2019) | Viewed by 2933

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Aerospace Engineering School, International University of Rabat, Campus de l’UIR, Parc Technopolis, Rocade de Rabat-Salé, 11100-Sala Al Jadida - Maroc
Interests: condensed-matter physics theory; high-temperature superconductivity; quantum spin systems; quantum crtitcality; numerical modeling; rotating antiferromagnetism
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Special Issue Information

Dear Colleagues,

There is no doubt that symmetry plays one of the most important roles in physics. Symmetry breaking is also a very interesting and essential phenomenon in both condensed matter physics and high-energy physics. The recently-discovered Higgs boson is the most famous consequence of symmetry breaking. Things got even more interesting lately with the proposal of hidden order that could arise from some sort of hidden symmetry breaking, as proposed for the explanation of the pseudogap state of the high-TC cuprate materials. Additionally, the role of symmetry in topological phases of matter has recently gained a tremendous importance with the discovery of topological insulators for example. This Special Issue welcomes manuscripts from all areas of quantum physics where symmetry and/or symmetry breaking occur.

Prof. Dr. Mohamed Azzouz
Guest Editor

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Keywords

  • Group theory and symmetry
  • Spin liquids, disordered quantum states
  • Symmetry breaking
  • ordered states
  • Hidden order and hidden symmetry breaking
  • Symmetry in topological phases
  • Translation, parity, time reversal symmetries
  • Gauge symmetries
  • Quantum criticality
  • Symmetry and spintronics

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Published Papers (1 paper)

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Research

9 pages, 5219 KiB  
Article
Topological Monopoles in Quantum Antiferromagnets
by Mohamed Azzouz
Symmetry 2019, 11(3), 323; https://doi.org/10.3390/sym11030323 - 5 Mar 2019
Viewed by 2544
Abstract
While the observation of magnetic monopoles has defied all experimental attempts in high-energy physics and astrophysics, sound theoretical approaches predict that they should exist, and they have indeed been observed as quasiparticle excitations in certain condensed-matter systems. This indicates that, even though they [...] Read more.
While the observation of magnetic monopoles has defied all experimental attempts in high-energy physics and astrophysics, sound theoretical approaches predict that they should exist, and they have indeed been observed as quasiparticle excitations in certain condensed-matter systems. This indicates that, even though they are not ubiquitous contrary to electrons, it is possible to get them as excitations above a background. In this report, we show that phonons or lattice shear strain generate topological monopoles in some low-dimensional quantum antiferromagnets. For the Heisenberg ladder, phonons are found to generate topological monopoles with nonzero density due to quantum spin fluctuations. For the four-leg Heisenberg tube, longitudinal shear stress generates topological monopoles with density proportional to the strain deformation. The present theory is based on mapping the spin degrees of freedom onto spinless fermions using the generalized Jordan–Wigner transformation in dimensions higher than one. The effective magnetic field generated by the motion of the spinless fermions has nonzero divergence when phonons or shear stress are present. A possible material where the present kind of monopoles could be observed is BiCu 2 PO 6 . Full article
(This article belongs to the Special Issue Symmetry and Symmetry Breaking in Quantum Mechanics II)
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