Classification of a supersolid: Trial wavefunctions, Symmetry breakings and Excitation spectra

Abstract

A state of matter is characterized by its symmetry breaking and elementary excitations. A supersolid is a state which breaks both translational symmetry and internal $U(1)$ symmetry. Here, we review some past and recent works in phenomenological Ginsburg-Landau theories, ground state trial wavefunctions and microscopic numerical calculations. We also write down a new effective supersolid Hamiltonian on a lattice. The eigenstates of the Hamiltonian contains both the ground state wavefunction and all the excited states (supersolidon) wavefunctions. We contrast various kinds of supersolids in both continuous systems and on lattices, both condensed matter and cold atom systems. We provide additional new insights in studying their order parameters, symmetry breaking patterns, the excitation spectra and detection methods.

REVTEX4, 19 pages, 3 figures

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Cited by in corpus (7)

• Observation of the supersolid stripe phase in spin-orbit coupled Bose-Einstein condensates
• Spin-Orbit Coupling and Spin Textures in Optical Superlattices
• Supersolid with nontrivial topological spin textures in spin-orbit-coupled Bose gases
• Fragmented-condensate solid of dipolar excitons
• Quantum magnetism of spinor bosons in optical lattices with synthetic non-Abelian gauge fields
• Pairing sizes in attractively interacting Fermi gases with Spin-orbit Couplings
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity