Paper Citation Record · LEDGER

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model

As of 22 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2501.05346.

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pith.paper-citation-record.v1
2501.05346 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:18:11.294408Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

29 of 29 outbound references displayed

verified exact0
verified fuzzy23
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c633c1c2-2a1c-4e5d-a7b7-64436cb8c3e8 · outbound

This paper cites an unresolved cited work.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:18:11.658714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8c0090e1-5fd0-4c9d-9e20-86f89f11cda0 · outbound

This paper cites an unresolved cited work.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:18:11.438804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fadfd4a7-7261-4ec2-a948-0039b6cde375 · outbound

This paper cites However, for more realistic two- and three-dimensional systems, obtaining accurate solutions and clarifying the physics of the Hubbard model remains a formidable challenge 6.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model However, for more realistic two- and three-dimensional systems, obtaining accurate solutions and clarifying the physics of the Hubbard model remains a formidable challenge 6

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.647424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ed774d1e-e21c-4f60-99c6-e04030126226 · outbound

This paper cites We use the nearest- neighbor hopping t = 1 as the unit of energy throughout the paper and set the lattice spacing to unity.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model We use the nearest- neighbor hopping t = 1 as the unit of energy throughout the paper and set the lattice spacing to unity

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.623581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d30f7484-519f-43d0-9ef4-a9f52cadfb7a · outbound

This paper cites DMFT is exact in the limit of inﬁnite dimensions 4 but provides only an approx- imate description of (interacting) two-dimensional sys- tems.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model DMFT is exact in the limit of inﬁnite dimensions 4 but provides only an approx- imate description of (interacting) two-dimensional sys- tems

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.611089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bc193943-b984-4a20-865d-6bcd1a25043d · outbound

This paper cites (6) In this way, we avoid the explicit calculation of the self- energy, which may have signiﬁcant numerical errors at high frequencies.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model (6) In this way, we avoid the explicit calculation of the self- energy, which may have signiﬁcant numerical errors at high frequencies

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.599375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 26bd60f8-19ae-4e69-8421-3591aac63139 · outbound

This paper cites This trend explains the enhanced pseudogap observed for larger U.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model This trend explains the enhanced pseudogap observed for larger U

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.382360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2fbc8dea-1d6e-4b31-af2e-8198728ef84d · outbound

This paper cites The TPSC+DMFT results combine the shorter quasi-particle lifetimes of DMFT (width and intensity of the signal) with the momentum- dependent lifetimes of TPSC.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model The TPSC+DMFT results combine the shorter quasi-particle lifetimes of DMFT (width and intensity of the signal) with the momentum- dependent lifetimes of TPSC

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.346160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a1864c41-29ca-4f0f-b5fc-8f81e34c5a1f · outbound

This paper cites (14) To derive a more detailed expression, the reducible ver- tex must be expanded into irreducible vertices.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model (14) To derive a more detailed expression, the reducible ver- tex must be expanded into irreducible vertices

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.552486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ca25097f-7cff-4085-bee1-6fbfa32ef147 · outbound

This paper cites These are generally referred to as the longitudinal channel and the transversal chan- nel, respectively.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model These are generally referred to as the longitudinal channel and the transversal chan- nel, respectively

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.540518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0acf00c4-c9d1-4348-9076-891ddcc4c728 · outbound

This paper cites one-shot.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model one-shot

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.564225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 60f9fd65-4abf-4064-9c61-c0574cef3bf8 · outbound

This paper cites Furthermore, using this Ansatz can cause the charge susceptibility to diverge in the strong- interaction regime, leading to unphysical results.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model Furthermore, using this Ansatz can cause the charge susceptibility to diverge in the strong- interaction regime, leading to unphysical results

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.528591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a35338b1-e602-4f5e-9391-10c4ef9990eb · outbound

This paper cites We attempted to iterate the above procedure, as done in Ref.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model We attempted to iterate the above procedure, as done in Ref

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.517043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b96f0518-c96d-466d-8ae0-74f12d6186ea · outbound

This paper cites an unresolved cited work.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:18:11.483577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0e5b7878-6eec-4836-99ed-0a63f145f697 · outbound

This paper cites All the TPSC results shown in this ﬁgure and the ﬁg- ures below refer to TPSC combined with the double oc- cupation from DMFT, but without the local self-energy substitution.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model All the TPSC results shown in this ﬁgure and the ﬁg- ures below refer to TPSC combined with the double oc- cupation from DMFT, but without the local self-energy substitution

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.473493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation eb19f801-f6f9-49a9-b60c-cd2e4f5d81ab · outbound

This paper cites Also, as mentioned before, DMFT is expected to provide a bet- ter estimate of the double occupation.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model Also, as mentioned before, DMFT is expected to provide a bet- ter estimate of the double occupation

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.463196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f4ebbccf-9d69-4c9f-b753-953a9502a231 · outbound

This paper cites Another point worth noting is that for U = 6 and U = 8, there may exist two pairs of solutions for Usp and Uch.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model Another point worth noting is that for U = 6 and U = 8, there may exist two pairs of solutions for Usp and Uch

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.394113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c2c90e7e-58f2-4e0d-867f-0f907e9f6d19 · outbound

This paper cites one- shot.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model one- shot

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.635326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cd4a5f8b-e57f-4f95-81ac-737e5d13af8f · outbound

This paper cites The nonlocal self-energy shown in Fig.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model The nonlocal self-energy shown in Fig

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.427141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b73b3ab6-26d2-4947-aea3-c335e5959947 · outbound

This paper cites The k-resolved spectral functions averaged over ω ∈ [−0.2, 0.2] are presented in Fig.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model The k-resolved spectral functions averaged over ω ∈ [−0.2, 0.2] are presented in Fig

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.416394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0369a2e7-80dc-4eec-8867-261e4a8d6554 · outbound

This paper cites The FLEX results, shown in Fig.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model The FLEX results, shown in Fig

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.406322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8f2869da-0c87-4b65-a1c5-900011dc6cb8 · outbound

This paper cites The spin and charge vertices calculated by TPSC decrease with increasing hole doping, as shown in Table II.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model The spin and charge vertices calculated by TPSC decrease with increasing hole doping, as shown in Table II

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.370937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 531e180e-e3e1-4485-a300-d805bb331d1b · outbound

This paper cites an unresolved cited work.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:18:11.358300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 74e591d2-cf2e-438a-9e2d-1f3d932f20d4 · outbound

This paper cites To avoid adjustable parame- ters, we however prefer to use the same U as in TPSC, keeping in mind the bias from the NCA.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model To avoid adjustable parame- ters, we however prefer to use the same U as in TPSC, keeping in mind the bias from the NCA

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.494295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 11779ce8-9c69-4be8-94fe-a6c084783cef · outbound

This paper cites ( 4) and the hybridiza- tion function ∆ (ω) is updated using the local Green’s function ∆ (ω) = G−1 ato(ω) − G−1 loc(ω).

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model ( 4) and the hybridiza- tion function ∆ (ω) is updated using the local Green’s function ∆ (ω) = G−1 ato(ω) − G−1 loc(ω)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.587258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d68f5d4f-1fd9-422f-b334-55e536f2df28 · outbound

This paper cites Stabilizing the calculation of the self-energy in dynamical mean-field theory using constrained residual minimization.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model Stabilizing the calculation of the self-energy in dynamical mean-field theory using constrained residual minimization

Reference 30

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T21:18:11.332820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f4580035-7fca-4ec0-857f-cd3f75f912f4 · outbound

This paper cites In this manner, additional degrees of freedom are introduced to ensure that the Pauli exclu- sion principle is satisﬁed.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model In this manner, additional degrees of freedom are introduced to ensure that the Pauli exclu- sion principle is satisﬁed

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.575535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation da06e5b0-652d-4dae-b7e2-fc35a7326884 · outbound

This paper cites Moreover, it is incapable of describing the Mott insulat- ing state.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model Moreover, it is incapable of describing the Mott insulat- ing state

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:18:11.505183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e807daf0-200b-441d-8eae-0fe45f634827 · outbound

This paper cites an unresolved cited work.

Real-frequency TPSC+DMFT investigation of the square-lattice Hubbard model Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:18:11.451538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

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