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Paper Citation Record · LEDGER

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications

As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2506.07745.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.07745 v2

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:32:35.581055Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T19:22:31.507261Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

  • verified exact0
  • verified fuzzy25
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 2bc36347-7099-4863-947b-a7c73232e635 · outbound

This paper cites What are the key degrees of freedom for the next generation of quantum functional materials? Next Materials 1, 100018 (2023) 1-12.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications What are the key degrees of freedom for the next generation of quantum functional materials? Next Materials 1, 100018 (2023) 1-12

Reference 2

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.504939Z digest=sha256:153e7317a86b5ea6042004a7dd18b53cc158c70685a0ac9151133d4f049a6072

Observation 37d55533-3a7f-4314-b2cb-58b42ecf43e4 · outbound

This paper cites an unresolved cited work.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.508630Z digest=sha256:963f72a368798c5857caf7e7c50cdba733d40611e156f686f7a922214ce3552b

Observation b1eb3eec-7eaf-48a9-aa14-8d7db7be8880 · outbound

This paper cites The reported results were calculated by employing the first -principle DFT methodology based on GGA-PBE potential and hybrid HSE06 functional with and without spin -orbit coupling.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications The reported results were calculated by employing the first -principle DFT methodology based on GGA-PBE potential and hybrid HSE06 functional with and without spin -orbit coupling

Reference 4

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T05:32:35.498349Z digest=sha256:83d889c831a88a10d330d2c9839b04086a73c0be167aa9a7ce0cfba6bdd9fe5f

Observation 7d465170-56c9-41d6-8545-dc4651e8967f · outbound

This paper cites However, these results confirm that the doping of Ge in graphene facilitates to open a considerable bandgap.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications However, these results confirm that the doping of Ge in graphene facilitates to open a considerable bandgap

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.494318Z digest=sha256:ed47038b047a9207bde1108bf3d97aa9548173cae7d47a06e0c4109d2dfcc55c

Observation 4a9bc94e-e158-4e1f-a3f6-bf41d253aff8 · outbound

This paper cites Nat Phys 3:172–175.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Nat Phys 3:172–175

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.512073Z digest=sha256:1965585ce435a8eeb19be05009fe2a0fa2e31b047455ae944c50b44ff285ed6b

Observation db8c9dca-4284-4bb5-bfdf-239bceb870b0 · outbound

This paper cites Phys Rev Lett 99(23):236809.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Phys Rev Lett 99(23):236809

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.515535Z digest=sha256:6bfc17f85481e0959fc8b8f930ec1c1a14ca090e1454cae43a290f6d52f8ddf7

Observation d862ed64-94e5-4528-b0e3-8607509180e0 · outbound

This paper cites Phys Rev B 77:235406.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Phys Rev B 77:235406

Reference 8

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source=pdf_text observed=2026-08-07T05:32:35.518695Z digest=sha256:c750be11af6c2f6b11b76676e40f4ca4fa60b33730b7e245ed44eef3ffe119db

Observation 0434151a-1d77-49c9-938b-6f539347c300 · outbound

This paper cites (2012) Valley-selective circular dichroism of monolayer molybdenum disulphide.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications (2012) Valley-selective circular dichroism of monolayer molybdenum disulphide

Reference 9

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source=pdf_text observed=2026-08-07T05:32:35.522080Z digest=sha256:836bf018ff85126073f8e5dd3c551a23fa712e22a0f1e6e8606e19f74352040c

Observation a2446b76-33ee-459a-9ac3-239f8ad7d8e3 · outbound

This paper cites Phys Rev Lett 108(19): 196802.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Phys Rev Lett 108(19): 196802

Reference 10

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.525150Z digest=sha256:a31f41e41fbb3fd8193e47c99807e307dea2f3510ab0f41d5efc06320d22dd66

Observation 2fea3ace-eb10-4af0-aba2-b6ce172ee625 · outbound

This paper cites Nat Nanotechnol 7(8):494–498.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Nat Nanotechnol 7(8):494–498

Reference 11

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T05:32:35.528010Z digest=sha256:b38afe37f656ae461365911e2ad430e3003bab4a261ae8ff39d638bd5ef6a5cf

Observation 3abc5da2-afbb-48c1-a510-18f97e6aac80 · outbound

This paper cites Nat Nanotechnol 7(8):490–493.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Nat Nanotechnol 7(8):490–493

Reference 12

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source=pdf_text observed=2026-08-07T05:32:35.530830Z digest=sha256:0c26b4b84fdd7c40ead9e0babb9d934490374c6e8065663bb96a0722fa2d0a75

Observation 80d26dd6-0acb-475b-ad42-9d693905c047 · outbound

This paper cites Schaibley, Hongyi Yu, Genevieve Clark, Pasqual Rivera, Jason S.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Schaibley, Hongyi Yu, Genevieve Clark, Pasqual Rivera, Jason S

Reference 13

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.533850Z digest=sha256:4d84516b77576a354122bc44cd31ba510f2e9af9e73ba836b95afa51d8add584

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.536890Z digest=sha256:81d873656b6ff8b1f51836a7fbebea38c28e4ff71909c96ae8837f3b57d129c4

Observation 7a5aa9ed-8108-4286-ae17-0c3598b4cba8 · outbound

This paper cites A potential candidate material for quantum anomalous Hall effect: Heterostructures of ferromagnetic insulator and graphene.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications A potential candidate material for quantum anomalous Hall effect: Heterostructures of ferromagnetic insulator and graphene

Reference 15

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.540121Z digest=sha256:2064301e549517ef0de60727c11cc54596f6ba825f056cc2d18e89e53f0d9836

Observation 240eb089-fd47-4820-9b8c-ff99be220201 · outbound

This paper cites Physical Review Letters 132, (2024)096302.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Physical Review Letters 132, (2024)096302

Reference 16

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source=pdf_text observed=2026-08-07T05:32:35.543338Z digest=sha256:a09015d2073487574e62424b835acbaf64084279abcdcd90c7247229e28fd1b8

Reference 17

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source=pdf_text observed=2026-08-07T05:32:35.546182Z digest=sha256:4a47687ff64e79fd4ac54bd2bb5bdfc419b4b9758cba502f48e94839c495ec95

Observation 4e7792c9-b5cf-4815-8061-af30009885a4 · outbound

This paper cites an unresolved cited work.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.549177Z digest=sha256:6549873d38053099e706318703a562964aa16571bf734c916e4bd1c57e98cac1

Observation 5b5397d2-1673-4ad4-af92-8fc6037c1897 · outbound

This paper cites Quantum-Engineered Devices Based on 2D Materials for Next-Generation Information Processing and Storage.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Quantum-Engineered Devices Based on 2D Materials for Next-Generation Information Processing and Storage

Reference 19

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source=pdf_text observed=2026-08-07T05:32:35.552011Z digest=sha256:7883329547ea96b19e7aca769cc1f86893e6323016c595b73e762e09b4338f3d

Observation 1bdaf660-b7e1-44d7-9b77-34bdab324e4c · outbound

This paper cites Proposal of graphene band-gap enhancement via heterostructure of graphene with boron nitride in vertical stacking scheme.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Proposal of graphene band-gap enhancement via heterostructure of graphene with boron nitride in vertical stacking scheme

Reference 20

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source=pdf_text observed=2026-08-07T05:32:35.554908Z digest=sha256:2787aefe7bde5b993bc59bbecb74bf2f6a7e2d6106743a0377c86deae409d67a

Observation fa002b6d-17ca-4259-8346-215cae1f65c0 · outbound

This paper cites an unresolved cited work.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Unresolved cited work

Reference 21

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.557807Z digest=sha256:2eb904580f4615a8dd2d3ec5977bac65e61a300839185f6d97182b4a450421f0

Observation f0d5b6b8-be9a-4091-b461-dc5ef75dfd14 · outbound

This paper cites Valley-dependent electronic transport in a graphene with double magnetic-strained barriers.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Valley-dependent electronic transport in a graphene with double magnetic-strained barriers

Reference 22

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Observation 767d5a83-a282-4438-8286-6f818a88fa88 · outbound

This paper cites Valley-dependent band structure and valley polarization in periodically modulated graphene.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Valley-dependent band structure and valley polarization in periodically modulated graphene

Reference 23

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.563679Z digest=sha256:948aa43f514cb9ef72d5d6428c7b9fa6058eecb2b1aaf2de4efc4b8e6cc160ce

Observation 4b762d25-c46d-48c7-8349-1f83bc3203ea · outbound

This paper cites Giant and Controllable Valley Currents in Graphene by Double Pumped THz Light.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Giant and Controllable Valley Currents in Graphene by Double Pumped THz Light

Reference 24

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Observation 8d34b912-60c8-4cbb-996d-8b01419172b6 · outbound

This paper cites Advances and Trends in Chemically Doped Graphene.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Advances and Trends in Chemically Doped Graphene

Reference 25

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Observation 568ee7bd-27ae-4543-a33e-5957578b53b7 · outbound

This paper cites an unresolved cited work.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Unresolved cited work

Reference 26

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.572370Z digest=sha256:9819b123328b8cfaca16930f0b08cc8bad1a393bc5110f9749c6e3e74db1da77

Observation 52523089-e7cd-409e-b33a-8350c71fba42 · outbound

This paper cites QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials,.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications QUANTUM ESPRESSO: a modular and open-source software project for quantum simulations of materials,

Reference 27

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source=pdf_text observed=2026-08-07T05:32:35.575453Z digest=sha256:a88b9e6430b6b682c33c1f7b02df07be22ea0313eebfaa5718f134fad6e46fff

Reference 28

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.578335Z digest=sha256:b15a240e8db93256f85f721bd20be5dfefe0a2f7a031714abd67c57067e52ec7

Observation 1921302b-975f-4fc5-b534-5f72ee795c2b · outbound

This paper cites Second harmonic spectroscopy to optically detect valley polarization in 2D materials.

First-principles Quantum Insights into Bandgap Engineering, Valley Quantum Hall Effect, and Nonlinear Optical Response of Ge-Doped Graphene for Potential Optoelectronic Applications Second harmonic spectroscopy to optically detect valley polarization in 2D materials

Reference 29

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:32:35.581055Z digest=sha256:fc9969fe4fb38c5e37fa8113ee5bde611a42f2e23ab1cca66185421c52af04c6

Pith citing papers

Reference 8

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no resolver link, observed 2026-08-03T19:22:31.507261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T19:22:31.507261Z digest=sha256:e932740031e4c9cd8c3b8f462c459682091b74c3a4a03aa8ba6c2303928f2f16