Paper Citation Record · LEDGER

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids

As of 18 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2606.01235.

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

pith.paper-citation-record.v1
2606.01235 v2

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T16:31:02.855528Z

measured 57 of 57 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

57 of 57 outbound references displayed

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Outbound references

Observation f4f0c405-1a3a-4e96-9047-efce062ad8b5 · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 0e09df3f-37c7-4b99-ae13-a0f56068fe28 · outbound

This paper cites The detailed evaluation of the Matsubara summation, along with the explicit analytical forms of these matrix elements, are provided in Appendix A.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids The detailed evaluation of the Matsubara summation, along with the explicit analytical forms of these matrix elements, are provided in Appendix A

Reference 2

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Observation a86b7215-2e4b-4392-85f0-51907c9cf4fc · outbound

This paper cites Equating this determinant to zero identifiesω0 = 0 as the unique physical root.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Equating this determinant to zero identifiesω0 = 0 as the unique physical root

Reference 3

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Observation caf1ca4b-4d20-4ae3-900e-77b1242da28b · outbound

This paper cites (37)] and the first-order momentum gradient is zero [Eq.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids (37)] and the first-order momentum gradient is zero [Eq

Reference 4

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Observation 95a5c36d-05da-4232-bfaf-11b01a890598 · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 5

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Observation b1184094-dd04-47fc-a33e-a3bff1e1cf8b · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 3ba9d695-c9e3-4a31-8230-5f457b9fd16c · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation b0aac890-41a3-40be-a8ec-268a80c6d40e · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation cd3971c2-37ba-4f4f-9958-de45040f2b84 · outbound

This paper cites Yankowitz, S.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Yankowitz, S

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 20fa7959-fec0-4bae-936d-5936c6e16a62 · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 10

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Observation 59c0753e-b2eb-45f0-8414-3d0d407cd52a · outbound

This paper cites Jiang, X.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Jiang, X

Reference 11

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Observation d31c20ce-219e-4dd6-b15b-3f188be76481 · outbound

This paper cites Tinkham,Introduction to Superconductivity(Dover Publications, Mineola, New York, 2004).

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Tinkham,Introduction to Superconductivity(Dover Publications, Mineola, New York, 2004)

Reference 12

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Observation 0048e571-7c97-4d60-9c6f-78e619ed9f48 · outbound

This paper cites Peotta and P.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Peotta and P

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 5af820f6-c73d-403b-b61b-9c622f2fa648 · outbound

This paper cites Liang, T.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Liang, T

Reference 14

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Observation cef94ce7-9106-4a2b-a949-8c55f2d49fb5 · outbound

This paper cites T¨ orm¨ a, L.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids T¨ orm¨ a, L

Reference 15

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Observation a4139533-b8f3-4454-b01a-c2e2000af7a4 · outbound

This paper cites T¨ orm¨ a, S.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids T¨ orm¨ a, S

Reference 16

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Observation b14cbfba-14d0-4b5e-900c-515c61a70028 · outbound

This paper cites Julku, T.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Julku, T

Reference 17

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Observation b1ace7c3-e1b2-45b4-b90c-10dc16c255d2 · outbound

This paper cites Julku, G.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Julku, G

Reference 18

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Observation 2836c030-0b50-4620-9be2-977d264696a1 · outbound

This paper cites Huhtinen, J.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Huhtinen, J

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation f2e20aa2-114d-4a70-ab5c-9007e20d5353 · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 24172c5f-e668-4989-8577-0e1672ef11ed · outbound

This paper cites Nambu, Phys.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Nambu, Phys

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 883ac649-7b8c-4054-a052-94ee70e34a71 · outbound

This paper cites Goldstone, Nuovo Cim.19, 154 (1961).

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Goldstone, Nuovo Cim.19, 154 (1961)

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation a74ae9f0-840b-4411-b896-b9b8be9e6302 · outbound

This paper cites Goldstone, A.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Goldstone, A

Reference 23

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Observation 16f9217c-4674-483f-af9f-ee07a494dd54 · outbound

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Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 9fefe493-f423-4977-a549-f82a368a58ad · outbound

This paper cites Littlewood and C.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Littlewood and C

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 356845be-5bd4-49df-a078-3ce45c8b14e6 · outbound

This paper cites Littlewood and C.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Littlewood and C

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 8e45a1a2-4009-4f97-95e9-c5b2a658ffc7 · outbound

This paper cites Matsunaga, Y.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Matsunaga, Y

Reference 27

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Observation 73c3d70d-583a-4254-b0d3-a5c1b2d3d759 · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation eef87bee-664e-44a8-9d49-773bcc455d53 · outbound

This paper cites Volkov and S.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Volkov and S

Reference 29

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Observation a769457c-68cf-4428-b74e-2cce4ff07cec · outbound

This paper cites Pekker and C.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Pekker and C

Reference 30

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Observation c0923efc-0151-4642-ab69-bd6b4b986207 · outbound

This paper cites Shimano and N.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Shimano and N

Reference 31

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Observation 96127df3-e714-4830-9de0-0eb634bd5367 · outbound

This paper cites Iskin, Phys.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Iskin, Phys

Reference 32

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Observation 2a990aca-093a-4f2a-b94e-c4b59c445a04 · outbound

This paper cites Lewandowski and L.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Lewandowski and L

Reference 33

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Observation eca460cb-7b8d-4035-8f6b-f70ac0293909 · outbound

This paper cites Kuang, Z.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Kuang, Z

Reference 34

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Observation 18486e8b-81b5-454b-bf7a-27589c308608 · outbound

This paper cites Stauber and H.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Stauber and H

Reference 35

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Observation b40a07b2-3c03-4c17-a4a0-5b68a8cfee96 · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 859ff806-b6d9-4cc7-bcbd-1b2735869c7d · outbound

This paper cites Quantum Geometric Effects on the Higgs Mode in Flat-band Superconductors.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Quantum Geometric Effects on the Higgs Mode in Flat-band Superconductors

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-07-01T21:36:15.859091Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 95b5690d-d551-4011-94f8-58fcfd563476 · outbound

This paper cites Wu, X.-F.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Wu, X.-F

Reference 38

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Observation ea6a2c4a-4672-42cf-b1c3-9850e17fa0b4 · outbound

This paper cites Julku, G.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Julku, G

Reference 39

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Observation 0482a545-7ce3-4153-b2a2-122ef5bd10d2 · outbound

This paper cites Tovmasyan, S.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Tovmasyan, S

Reference 40

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Observation 58aea5eb-d253-413e-a874-32efc2373f37 · outbound

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Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 41

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Observation 71f9469f-fd46-4293-b94a-c0d4a329edc1 · outbound

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Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 42

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Observation d1b195d4-2891-4602-9ba4-94f11d7688af · outbound

This paper cites Kerman and S.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Kerman and S

Reference 43

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Observation a490682f-3098-4336-9e6f-fce770596e4b · outbound

This paper cites Kerman, S.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Kerman, S

Reference 44

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Observation 8e944adc-8621-4fd9-92a7-22cb0d43cb05 · outbound

This paper cites Kerman and T.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Kerman and T

Reference 45

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 608103b4-a876-4632-9e21-2d999c00e54c · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 50454500-25eb-41d4-9e1b-9d3dba5f3097 · outbound

This paper cites Julku, S.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Julku, S

Reference 47

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation a9d6c050-dda7-4a3f-a55e-0a1abcd7f2cb · outbound

This paper cites Li and Y.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Li and Y

Reference 48

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 7da25406-31c6-4e5a-b730-f04f450b496a · outbound

This paper cites The propagator is 1/(iω m −2E).

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids The propagator is 1/(iω m −2E)

Reference 49

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Observation b3cebccc-15ad-45fd-9f62-091030589ed5 · outbound

This paper cites The propagator is −1/(iωm + 2E).

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids The propagator is −1/(iωm + 2E)

Reference 50

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation a32d54d1-2e8a-413c-b8b7-1c16700503e4 · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 51

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Observation 387cffce-2989-40e9-8477-dfe0ca3ea0f9 · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 52

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Observation d6b4ba5b-6343-4430-ba5e-9079df9a411e · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 53

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation e9583277-6d1e-402d-9cbc-798c0fbb2be7 · outbound

This paper cites an unresolved cited work.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Unresolved cited work

Reference 54

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation da4ff6f8-7177-42ce-bc19-0ef994fcde35 · outbound

This paper cites (E3) onto the two-dimensional null space usingA ij =⟨v i| ∂M ∂ω (0,0) |vj⟩.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids (E3) onto the two-dimensional null space usingA ij =⟨v i| ∂M ∂ω (0,0) |vj⟩

Reference 55

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation 24d882ac-089c-4c7f-9280-b7b4de979797 · outbound

This paper cites Applying the differential operator ∂2 ∂qa∂qb to Eq.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids Applying the differential operator ∂2 ∂qa∂qb to Eq

Reference 56

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Observation fc8fa9b6-3fa9-4ad6-a4c0-55c40b091aeb · outbound

This paper cites (F3) onto the null space: [B ab]ij = 1 2 ⟨vi| ∂2M ∂qa∂qb (0,0) |vj⟩.

Interplay between Quantum Metric and Hybridized Collective Mode in Flat-Band Superfluids (F3) onto the null space: [B ab]ij = 1 2 ⟨vi| ∂2M ∂qa∂qb (0,0) |vj⟩

Reference 57

Resolution: unresolved; no resolver link, observed 2026-06-28T16:31:02.855528Z

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Pith citing papers

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