Collective Bulk and Edge Modes through the Quantum Phase Transition in Graphene at $\nu=0$

Efrat Shimshoni; Ganpathy Murthy; H. A. Fertig

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Collective Bulk and Edge Modes through the Quantum Phase Transition in Graphene at $\nu=0$

Ganpathy Murthy, Efrat Shimshoni, H. A. Fertig

Strongly Correlated Electrons · Submitted 14 Oct 2015

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim The response functions demonstrate that the two phases can be distinguished by the evolution of a local charge pulse at the edge.

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arXiv ID1510.04255 (version 1)

Pith ID4J2MDKNL, Pith's permanent record of this paper and its review

CitationEfrat Shimshoni, Ganpathy Murthy, H. A. Fertig. "Collective Bulk and Edge Modes through the Quantum Phase Transition in Graphene at $\nu=0$." arXiv:1510.04255 (2015). https://pith.science/paper/4J2MDKNL

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 5,575 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.13 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.07 · mentions code or data availability 0.01.

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Undoped graphene in a strong, tilted magnetic field exhibits a radical change in conduction upon changing the tilt-angle, which can be attributed to a quantum phase transition from a canted antiferromagnetic (CAF) to a ferromagnetic (FM) bulk state at filling factor $\nu=0$. This behavior signifies a change in the nature of the collective ground state and excitations across the transition. Using the time-dependent Hartree-Fock approximation, we study the collective neutral (particle-hole) excitations in the two phases, both in the bulk and on the edge of the system. The CAF has gapless neutral modes in the bulk, whereas the FM state supports only gapped modes in its bulk. At the edge, however, only the FM state supports gapless charge-carrying states. Linear response functions are computed to elucidate their sensitivity to the various modes. The response functions demonstrate that the two phases can be distinguished by the evolution of a local charge pulse at the edge.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Undoped graphene in a strong, tilted magnetic field exhibits a radical change in conduction upon changing the tilt-angle, which can be attributed to a quantum phase transition from a canted antiferromagnetic (CAF) to a ferromagnetic (FM) bulk state at filling factor $\nu=0$.	background 0.73	0.46	0.43	asserted 0.69
s1	This behavior signifies a change in the nature of the collective ground state and excitations across the transition.	interpretation 0.97	0.17	0.09	asserted 0.92
s2	Using the time-dependent Hartree-Fock approximation, we study the collective neutral (particle-hole) excitations in the two phases, both in the bulk and on the edge of the system.	method 0.54	0.95	0.05	asserted 0.90
s3	The CAF has gapless neutral modes in the bulk, whereas the FM state supports only gapped modes in its bulk.	result 1.00	0.86	0.26	asserted 1.00
s4	At the edge, however, only the FM state supports gapless charge-carrying states.	result 1.00	0.87	0.22	asserted 1.00
s5	Linear response functions are computed to elucidate their sensitivity to the various modes.	method 0.92	0.92	0.03	asserted 0.84
s6	The response functions demonstrate that the two phases can be distinguished by the evolution of a local charge pulse at the edge.	result 0.87	0.93	0.33	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.78 · evidence from simulation or computation 0.93.

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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

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Original abstract

Undoped graphene in a strong, tilted magnetic field exhibits a radical change in conduction upon changing the tilt-angle, which can be attributed to a quantum phase transition from a canted antiferromagnetic (CAF) to a ferromagnetic (FM) bulk state at filling factor $\nu=0$. This behavior signifies a change in the nature of the collective ground state and excitations across the transition. Using the time-dependent Hartree-Fock approximation, we study the collective neutral (particle-hole) excitations in the two phases, both in the bulk and on the edge of the system. The CAF has gapless neutral modes in the bulk, whereas the FM state supports only gapped modes in its bulk. At the edge, however, only the FM state supports gapless charge-carrying states. Linear response functions are computed to elucidate their sensitivity to the various modes. The response functions demonstrate that the two phases can be distinguished by the evolution of a local charge pulse at the edge.

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1 arXiv paper cite this in 7 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Compares with it 1 paper

We note that the absence of other low-energy modes is in apparent agreement with time-dependent Hartree-Fock results for the full $ν=0$ spectrum [ref] .

Emergence of helical edge conduction in graphene at the \nu=0 quantum Hall state · Edge Hamiltonian · 0.91

Cites it as background 1 paper

In a previous work [ref] , three of the present authors carried out a detailed time-dependent Hartree-Fock (TDHF) analysis of the HF state of our first paper [ref] .

Emergence of helical edge conduction in graphene at the \nu=0 quantum Hall state · Introduction and Principal Results · 0.87

What it cites · 2 sentences without a confident label

Cites as background 3 papers

The variety of different ways to spontaneously break the $SU(4)$ symmetry in spin and valley space suggests an enormous number of potential ground states [ref] .

Flavor Symmetry and Competing Orders in Bilayer Graphene · Introduction · 0.92
The variety of different ways to spontaneously break the $SU(4)$ symmetry in spin and valley space suggests an enormous number of potential ground states [ref] .

Chiral Symmetry Breaking and the Quantum Hall Effect in Monolayer Graphene · Introduction · 0.92
The variety of different ways to spontaneously break the $SU(4)$ symmetry in spin and valley space suggests an enormous number of potential ground states [ref] .

Noncollinear magnetic phases and edge states in graphene quantum Hall bars · Introduction · 0.92

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