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Retrieving "Condensed Matter Systems" from the archives

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  1. Spontaneous Symmetry Breaking

    Linked via "condensed matter systems"

    Spontaneous Symmetry Breaking in Condensed Matter Physics
    While most famously discussed in high-energy physics, SSB is also pervasive in the study of phase transitions} in condensed matter systems}, often resulting in observable macroscopic effects.
    Ferroelectricity and Magnetism

  2. Symmetry Breaking

    Linked via "condensed matter systems"

    Analogues and Experimental Realization
    Symmetry breaking is not restricted to fundamental quantum field theories; it is widely observed in condensed matter systems where the underlying Hamiltonian possesses high symmetry, but the low-energy ground state does not.
    | System Analogue | Broken Symmetry Type | Resultant Excitation/Defect | Observation Parameter |

  3. U(1) Symmetry Group

    Linked via "condensed matter systems"

    The $\mathrm{U}(1)$ symmetry group, often denoted as the unit circle group, is the mathematical group of all complex numbers with magnitude 1 under multiplication. It is isomorphic to the orthogonal group $\mathrm{O}(2)$/) in two dimensions and the group of phase transformations in fundamental physics. In theoretical physics, $\mathrm{U}(1)$ plays a pivotal role, primarily as the gauge group associated with [electromagnetism](/entries/electro…