Dichroism from Chiral Thermoelectric Probes: Generalized Sum Rules for Orbital and Heat Magnetizations

TL;DR

This paper develops a unified theoretical framework linking orbital and heat magnetizations to spectroscopic measurements via thermoelectric probes, enabling new experimental access to fundamental quantum properties.

Contribution

It introduces a formalism that relates magnetizations to excitation spectra and proposes concrete thermoelectric measurement techniques for experimental investigation.

Findings

Derived spectral representations of magnetization densities from thermoelectric correlation functions.

Established a hierarchy organizing orbital and heat magnetizations into distinct contributions.

Proposed experimental implementations of thermoelectric dichroic measurements in quantum platforms.

Abstract

We introduce a unified framework that relates orbital and heat magnetizations to experimentally accessible excitation spectra, through thermoelectric probes and generalized sum rules. By analyzing zero-temperature transport coefficients and applying Kramers-Kronig relations, we derive spectral representations of magnetization densities from thermoelectric correlation functions. Excitation rates under chiral thermoelectric drives then naturally emerge as direct probes of these Kubo-type correlators, placing orbital and heat magnetizations on equal footing with the topological Chern number. As a direct consequence of our formalism, we introduce a hierarchical construction that organizes orbital and heat magnetizations into distinct physical contributions accessible through sum rules, and also naturally obtain real-space markers of these magnetizations. Besides, non-chiral thermal probes identify a heat quantum metric, which is defined over the space of gravitomagnetic deformations. From an experimental standpoint, we propose concrete implementations of thermoelectric dichroic measurements in quantum-engineered platforms based on modulated strain fields. These results establish thermoelectric dichroic measurements as a versatile route to access and disentangle fundamental ground-state properties.