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arxiv: 2606.12665 · v1 · pith:O6L3MRDJnew · submitted 2026-06-10 · ❄️ cond-mat.str-el

Hall conductivity reveals the nature of quantum coherence in strongly correlated metals

Emily Z. Zhang , Thomas P. Devereaux This is my paper

Pith reviewed 2026-06-27 07:52 UTC · model grok-4.3

classification ❄️ cond-mat.str-el
keywords Hall conductivitystrange metalsHubbard modelT-linear resistivityquantum coherencequantum Monte Carloparticle-hole asymmetry
0
0 comments X

The pith

Hall conductivity reveals a quantum-coherent crossover in strongly correlated metals hidden from resistivity measurements.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper uses exact simulations of the doped Hubbard model to show that resistivity remains linear in temperature regardless of parameters, while the Hall conductivity depends strongly on particle-hole asymmetry, the shape of the Fermi surface, and correlation effects. These factors together set a temperature scale below which the system enters a quantum-coherent regime, visible only in the transverse response. This matters because it indicates that Hall measurements can access details of quantum coherence in strange metals that are obscured in longitudinal transport alone. The results suggest the T-linear resistivity is a universal feature but not sufficient to determine coherence properties.

Core claim

While the resistivity is robustly T-linear across parameter sets, the Hall response is highly sensitive to particle-hole asymmetry, Fermi surface topology, and many-body correlation effects. Specifically, the combination of these effects determine a crossover scale in which the system becomes quantum-coherent, and is reflected in the Hall conductivity. Our results demonstrate that while the T-linearity in resistivity appears universal, the Hall response reveals a crossover from semi-classical to quantum-coherent transport otherwise masked in the longitudinal channel.

What carries the argument

The Hall conductivity calculated in a magnetic field using determinantal quantum Monte Carlo on the doped Hubbard model, which acts as a probe sensitive to asymmetry and topology to identify the quantum coherence crossover.

If this is right

  • The T-linear resistivity remains robust even as the Hall response changes with parameters.
  • The crossover scale to quantum coherence is determined by particle-hole asymmetry, Fermi surface topology, and correlations.
  • Hall conductivity can distinguish semi-classical from quantum-coherent transport regimes.
  • Longitudinal transport alone is insufficient to reveal the coherence properties in these systems.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • Similar crossovers might appear in other transverse coefficients such as the Nernst signal when asymmetry is tuned.
  • Experiments on cuprates could vary doping to shift the coherence scale and check consistency with the simulated Hall behavior.
  • The sensitivity of the Hall response may extend to other models of strong correlations beyond the Hubbard case.

Load-bearing premise

The doped Hubbard model with the chosen parameters and the determinantal quantum Monte Carlo method in a magnetic field sufficiently capture the relevant physics of real strongly correlated metals without dominant finite-size or sign-problem artifacts that would alter the reported Hall crossover.

What would settle it

A calculation showing no distinct crossover scale in the Hall conductivity when particle-hole asymmetry and Fermi surface topology are varied would falsify the claim that these effects determine the quantum-coherent crossover.

read the original abstract

Linear-in-temperature resistivity is a hallmark for strange metallic transport, and appears universally in many strongly correlated electron systems. However, the focus on the longitudinal channel often overshadows the profound microscopic insights contained within the transverse response. Here, we utilize numerically exact determinantal quantum Monte Carlo simulations of the doped Hubbard model in a magnetic field to calculate longitudinal and transverse transport. We demonstrate that while the resistivity is robustly $T$-linear across parameter sets, the Hall response is highly sensitive to particle-hole asymmetry, Fermi surface topology, and many-body correlation effects. Specifically, the combination of these effects determine a crossover scale in which the system becomes quantum-coherent, and is reflected in the Hall conductivity. Our results demonstrate that while the $T$-linearity in resistivity appears universal, the Hall response reveals a crossover from semi-classical to quantum-coherent transport otherwise masked in the longitudinal channel.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

1 major / 0 minor

Summary. The manuscript reports determinantal quantum Monte Carlo simulations of the doped Hubbard model in a magnetic field. It claims that resistivity remains robustly T-linear across parameter sets, while the Hall conductivity is highly sensitive to particle-hole asymmetry, Fermi surface topology, and many-body correlations; the combination of these effects sets a crossover scale to quantum-coherent transport that is visible in the Hall response but masked in the longitudinal channel.

Significance. If the numerical results hold, the work would be significant because it isolates a microscopic origin for the sensitivity of Hall measurements to coherence scales in strange metals, where resistivity appears universal. It provides a concrete numerical demonstration that transverse responses can reveal many-body effects not captured by longitudinal transport alone.

major comments (1)
  1. Abstract: The assertion of 'numerically exact' results for the Hall conductivity across parameter sets is not accompanied by any reported values for the average sign, statistical error bars on the Hall angle or conductivity, or finite-size extrapolations in the transverse channel. Given the known severity of the fermion sign problem in DQMC at finite doping and low T, and the sensitivity of current-current correlators to reweighting, this omission directly undermines in the reported crossover scale.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for highlighting an important issue regarding the documentation of numerical precision in our DQMC results. We address the concern point by point below.

read point-by-point responses

  1. Referee: Abstract: The assertion of 'numerically exact' results for the Hall conductivity across parameter sets is not accompanied by any reported values for the average sign, statistical error bars on the Hall angle or conductivity, or finite-size extrapolations in the transverse channel. Given the known severity of the fermion sign problem in DQMC at finite doping and low T, and the sensitivity of current-current correlators to reweighting, this omission directly undermines in the reported crossover scale.

    Authors: We agree that the absence of these quantitative details weakens the presentation. Although the DQMC method is formally exact when the average sign remains manageable, the referee is correct that explicit reporting is required to substantiate the claim of numerical exactness for the Hall response. In the revised manuscript we will add a dedicated supplementary section (or expanded methods paragraph) that tabulates the average sign for every doping, temperature, and interaction strength studied; reports statistical error bars on both the Hall conductivity and Hall angle; and includes a brief discussion of finite-size effects in the transverse channel, with extrapolations where the data permit. These additions will directly address the concern about reweighting sensitivity and allow readers to evaluate the robustness of the reported crossover scale. revision: yes

Circularity Check

0 steps flagged

No circularity: direct numerical computation of Hall response

full rationale

The paper reports results from determinantal quantum Monte Carlo simulations of the doped Hubbard model in a magnetic field. No analytical derivation chain exists that reduces any claimed prediction or crossover scale to a fitted parameter, self-citation, or input quantity by construction. The Hall conductivity is computed directly from current-current correlations on the model; the reported sensitivity to particle-hole asymmetry and Fermi surface topology follows from those explicit simulations rather than from any redefinition or ansatz smuggled via prior work. The abstract and available text contain no equations or uniqueness theorems that collapse to the inputs. This is a standard case of a self-contained numerical study whose central claims rest on the simulation output itself.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Only the abstract is available, so the ledger is limited to elements explicitly named: the Hubbard model itself and the determinantal quantum Monte Carlo algorithm in a magnetic field. No explicit free parameters, axioms, or invented entities are stated beyond the standard model assumptions.

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