The Symmetry Principle in Condensed Matter Physics (I)

Abstract

Symmetry distills the simplicity of natural laws from the complexity of physical phenomena. The symmetry principle is of vital importance in various aspects of modern physics, including analyzing atomic spectra, determining fundamental interactions in the Standard Model, and unifying physics at different energy scales. In this chapter, novel applications of this principle are reviewed in condensed matter physics and cold atom physics for exploring new states of matter.

References in corpus (33)

• Topological Crystalline Insulators
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Absence of Quantum Time Crystals
• A one-dimensional liquid of fermions with tunable spin
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Color Superfluidity and "Baryon" Formation in Ultracold Fermions
• Fermi liquid instabilities in the spin channel
• Observation of a many-body-localized discrete time crystal with a programmable spin-based quantum simulator
• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Parity-breaking phases of spin-orbit-coupled metals with gyrotropic, ferroelectric and multipolar orders
• Dynamic generation of spin orbit coupling
• Coherent multi-flavour spin dynamics in a fermionic quantum gas
• Trionic phase of ultracold fermions in an optical lattice: A variational study
• Resonating plaquette phases in large spin cold atom systems
• Charge-$4e$ superconductivity from multi-component nematic pairing: Application to twisted bilayer graphene
• Unconventional metamagnetic electron states in orbital band systems
• Vortex configurations of bosons in an optical lattice
• Exact spontaneous plaquette ground states for high-spin ladder models
• Exotic many-body physics with large-spin Fermi gases
• Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
• Charge instabilities at the metamagnetic transition
• Resonating singlet valence plaquettes
• Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
• Evidence of an improper displacive phase transition in Cd${}_2$Re${}_2$O${}_7$ via time-resolved coherent phonon spectroscopy
• Floquet-Bloch Oscillations and Intraband Zener Tunneling in an Oblique Spacetime Crystal
• Mott made easy
• Isoelectronic perturbations to $f$-$d$-electron hybridization and the enhancement of hidden order in URu${}_2$Si${}_2$
• Mott insulating phases and quantum phase transitions of interacting spin-3/2 fermionic cold atoms in optical lattices at half filling
• Crystal structure of the inversion-breaking metal Cd2Re2O7
• Construction of $G_2$ symmetry in a Hubbard-type model