The Berry’s phase, although well-known since 1984, has received little attention among textbook authors of solid state physics. We attempt to address this lack by showing how the presence of the Berry’s phase significantly changes a standard concept (effective mass) found in most solid state texts. Specifically, we show that the presence of a non-zero Berry curvature in Bloch systems makes the ...

We investigate a photonic device consisting of two coupled optical cavities possessing Rashba-Dresselhaus spin-orbit coupling, TE-TM splitting, and linear polarization splitting that opens tunable energy gap at the diabolic points photon dispersion; giving rise to an actively addressable local Berry curvature. The proposed architecture stems from recent advancements in design artificial gauge f...

We generalize the Quantum Geometric Tensor by replacing a Hamiltonian with modular Hamiltonian. The symmetric part of provides Fubini-Study metric, and its anti-symmetric sector gives Berry curvature. Our generalization dubbed Modular metric curvature Kinematic Space. also use result identity Virasoro block to relate connected correlator two Wilson lines two-point function This relation realize...

After the experimental realization, Berry curvature dipole (BCD) induced nonlinear Hall effect (NLHE) has attracted tremendous interest to condensed matter community. Here, we investigate another family of effect, namely, chiral anomaly (CNHE) in multi-Weyl semimetal (mWSM). In contrast BCD-induced NLHE, CNHE appears because combination both and anomalous velocity due nontrivial curvature. Usin...

Abstract In a system with broken inversion symmetry, second-order nonlinear Hall effect can survive even in the presence of time-reversal symmetry. this work, we show that giant exist twisted bilayer WTe 2 system. The Berry curvature dipole ( ? = 29.4°) reach up to ~1400 Å, which is much larger than previously reported systems. system, there abundant band anticrossings and inversions around Fer...

Abstract We provide a critical discussion concerning the claim of topological valley currents, driven by global Berry curvature and Hall effect proposed in recent literature. After pointing out major inconsistency theoretical scenario to interpret giant nonlocal resistance, we discuss various possible alternative explanations open directions research solve mystery transport graphene superlattic...

There are a variety of nonlinear optical effects including higher harmonic generations, photovoltaic effects, and nonlinear Kerr rotations. They are realized by strong light irradiation to materials that results in nonlinear polarizations in the electric field. These are of great importance in studying the physics of excited states of the system as well as for applications to optical devices an...

Recently, the magnetic topological insulator (TI) MnBi2Te4 emerged as a competitive platform to realize quantum anomalous Hall (QAH) states. We report Berry curvature splitting mechanism QAH effect in disordered TI multilayers when switching from an antiferromagnetic order ferromagnetic order. reveal that of spin-resolved curvature, originating separation critical points during switching, can g...