14 papers
Exploring Many-Body Quantum Geometry Beyond the Quantum Metric with Correlation Functions: A Time-Dependent Perspective
Yuntao Guan, Barry Bradlyn
The quantum geometric tensor and quantum Fisher information have recently been shown to provide a unified geometric description of the linear response of many-body systems. However…
Geometry of Contact Terms in Linear Response: Applications to Elasticity
Ian Osborne, Gustavo Monteiro, Barry Bradlyn
Employing the Kubo linear response formalism to calculate the elasticity of anisotropic systems has been shown to yield odd elastic moduli. For Hamiltonian systems, this result see…
Building blocks of topological band theory for photonic crystals
Yoonseok Hwang, Vaibhav Gupta, Antonio Morales-Pérez +6
We derive a framework for classifying topological bands in three-dimensional photonic band structures, where the zero frequency polarization singularity implied by Maxwell's equati…
Charge Susceptibility and Kubo Response in Hatsugai-Kohmoto-related Models
Yuhao Ma, Jinchao Zhao, Edwin W. Huang +3
We study in depth the charge susceptibility for the band Hatsugai-Kohmoto (HK) and orbital (OHK) models. As either of these models describes a Mott insulator, the charge susceptibi…
Transversality-Enforced Tight-Binding Models for 3D Photonic Crystals aided by Topological Quantum Chemistry
Antonio Morales-Pérez, Chiara Devescovi, Yoonseok Hwang +5
Tight-binding models can accurately replicate the band structure and topology of crystalline systems. They have been widely used in solid-state physics due to their versatility and…
Imaginary Time Formalism for Causal Nonlinear Response Functions
Sounak Sinha, Barry Bradlyn
It is well established that causal linear response functions can be found by computing the much simpler imaginary time-ordered Matsubara functions and performing an analytic contin…