792 citations · 5.2k across the 61 of their papers we have counts for
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Vanishing and non-vanishing persistent currents of various conserved quantities
Hirokazu Kobayashi, Haruki Watanabe
For every conserved quantity written as a sum of local terms, there exists a corresponding current operator that satisfies the continuity equation. The expectation values of curren…
Fractional hinge and corner charges in various crystal shapes with cubic symmetry
Katsuaki Naito, Ryo Takahashi, Haruki Watanabe +1
Higher-order topological insulators host gapless states on hinges or corners of three-dimensional crystals. Recent studies suggested that even topologically trivial insulators may…
The Bloch theorem in the presence of an additional conserved charge
Haruki Watanabe
The Bloch theorem is a general theorem restricting the persistent current associated with a conserved U(1) charge in a ground state or in a thermal equilibrium. It gives an upper b…
Bloch oscillations in the spin-1/2 XXZ chain
Yankang Liu, Yohei Fuji, Haruki Watanabe
Under a perfect periodic potential, the electric current density induced by a constant electric field may exhibit nontrivial oscillations, so-called Bloch oscillations, with an amp…
High-throughput Investigations of Topological and Nodal Superconductors
Feng Tang, Seishiro Ono, Xiangang Wan +1
The theory of symmetry indicators has enabled database searches for topological materials in normal conducting phases, which has led to several encyclopedic topological material da…
Adiabatic transport in one-dimensional systems with a single defect
Kazuaki Takasan, Masaki Oshikawa, Haruki Watanabe
The adiabatic transport properties of U(1) invariant systems are determined by the dependence of the ground state energy on the twisted boundary condition. We examine a one-dimensi…
Off-Diagonal Long-Range Order Implies Vanishing Charge Gap
Hal Tasaki, Haruki Watanabe
For a large class of quantum many-body systems with U(1) symmetry, we prove a general inequality that relates the (off-diagonal) long-range order with the charge gap. For a system…
Fractional corner magnetization of collinear antiferromagnets
Haruki Watanabe, Yasuyuki Kato, Hoi Chun Po +1
Recent studies revealed that the electric multipole moments of insulators result in fractional electric charges localized to the hinges and corners of the sample. We here explore t…