The New Phase due to Symmetry Protected Piecewise Berry Phases; Enhanced Pumping and Non-reciprocity in Trimer Lattices

Abstract

Finding new phase is a fundamental task in physics. Landau's theory explained the deep connection between symmetry breaking and phase transition commonly occurring in magnetic, superconducting and super uid systems. The discovery of the quantum Hall effect led to Z topological phases which could be different for same symmetry and are characterized by the discrete values of the Berry phases. By studying 1D trimer lattices we report new phases characterized by Berry phases which are piecewise continuous rather than discrete numbers. The phase transition occurs at the discontinuity point. With time-dependent changes, trimer lattices also give a 2D phases characterized by very specific 2D Berry phases of half period. These Berry phases change smoothly within a phase while change discontinuously at the transition point. We further demonstrate the existence of adiabatic pumping for each phase and gain assisted enhanced pumping. The non-reciprocity of the pumping process makes the system a good optical diode.

arXiv comment12pages, 7figures

References in corpus (23)

• Topological Insulators
• Topological insulators and superconductors
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• Periodic table for topological insulators and superconductors
• Topological States and Adiabatic Pumping in Quasicrystals
• An equivalent expression of Z2 Topological Invariant for band insulators using Non-Abelian Berry's connection
• Probing topological invariants in the bulk of a non-Hermitian optical system
• Inversion Symmetric Topological Insulators
• Non-Reciprocal Brillouin Scattering Induced Transparency
• Topologically protected midgap states in complex photonic lattices
• Brillouin scattering induced transparency and non-reciprocal light storage
• Numerical study of the topological Anderson insulator in HgTe/CdTe quantum wells
• Wannier Center Sheets in Topological Insulators
• Signatures of three coalescing eigenfunctions
• Quantum interferometry with three-dimensional geometry
• Topological Phase Transition without Gap Closing
• Tuneable quantum interference in a 3D integrated circuit
• Regularization of the spectral singularity in $\mathcal{P}\mathcal{T}$-symmetric systems by all order nonlinearities: Nonreciprocity and optical isolation
• On-chip non-reciprocal optical devices based on quantum inspired photonic lattices
• Adiabatic Pumping of Chern-Simons Axion Coupling
• The topological system with a twisting edge band: position-dependent Hall resistance

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• Creation and annihilation of mobile fractional solitons in atomic chains
• Analytical solution of open crystalline linear 1D tight-binding models
• Z3 Charge Density Wave of Silicon Atomic Chains on a Vicinal Silicon Surface
• Detection of Topology via Entanglement Oscillations
• Topological Micro-Electro-Mechanical Systems
• Zak Phase Dislocations in Trimer Lattices