Pith. sign in

Paper Citation Record · LEDGER

Ferromagnetism in Quantum Dot Plaquettes

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.03226.

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

pith.paper-citation-record.v1
1908.03226 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:42:53.833708Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact1
  • verified fuzzy10
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f5c06f4a-701d-449b-b47a-6239d48b5c73 · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.693775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.624654Z digest=sha256:fce6720199e91dd09fecbc310c56f65cead566d933e705e7a253da6c1a357274

Observation 294f8099-f6e0-46a7-b7e1-37def215b6cf · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.655019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.637740Z digest=sha256:1b9b7a5f0ee7c9848a8c63d346c4c1d9a679c4e209618e73008c16f2f5992cc7

Observation e5feeba9-5628-4fa9-a37b-61348d166b40 · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.628208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.645037Z digest=sha256:64d979b9007917b015f5635b3f756524b089093b45ea255a25ef279eb5babbeb

Observation bd6b8f7f-c2ff-41b7-9d09-c05338e32060 · outbound

This paper cites This is done using perturbation theory, but is complicated by the fact that the spin 0 states are often degenerate.

Ferromagnetism in Quantum Dot Plaquettes This is done using perturbation theory, but is complicated by the fact that the spin 0 states are often degenerate

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:54.564837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.656578Z digest=sha256:09df533cdd3f07e8c7fa58d736f62a40656e1694814c00842219afabfd543a53

Observation 98ed55e1-a574-42d5-8d3d-b9847a56c978 · outbound

This paper cites (15) become 0, U, and U + 2V respectively.

Ferromagnetism in Quantum Dot Plaquettes (15) become 0, U, and U + 2V respectively

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:54.529826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.672427Z digest=sha256:681d34c602dcb0566537cfa88d1494746e8df62d9f48da640b76f993477f3a4c

Observation 17877f27-85c9-4851-92c7-363f935fa1c2 · outbound

This paper cites We use the same square configura- tion of four dots, but now add extra hopping terms t13 =t31 =t42 =t24 =−td.

Ferromagnetism in Quantum Dot Plaquettes We use the same square configura- tion of four dots, but now add extra hopping terms t13 =t31 =t42 =t24 =−td

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:54.501477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.680494Z digest=sha256:c6aea197c9901b7ea3abc94e8205291bf520bb109f07f0e238b0a8e63a5ce251

Observation 26767208-4827-4cc9-92ec-765dc46e6504 · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.472733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.694058Z digest=sha256:aea83ba7d93a0485590d9a58b40fbb421a1f8a2ed959ade887945079d8882bd5

Observation 09662e8d-a3ba-4988-8b84-fb0fee2ae1bd · outbound

This paper cites We define ta and tb as in eq.

Ferromagnetism in Quantum Dot Plaquettes We define ta and tb as in eq

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:54.440227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.705317Z digest=sha256:de57bfb4a9713fb25b16af0dd208ccb62c2c71e31a886fe79c86d7e3dcbd0e16

Observation 9455235f-111f-418b-8740-2fd4ebb88b2e · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.405404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.712676Z digest=sha256:1b7b33dc4cd0ec8424cae008b4dd0ffdacd4c20f158dd26c5896c06056a59640

Observation 8f0ba1d4-c5d4-4dc9-b1e3-122389b9cebe · outbound

This paper cites We will let dots 2 through 4 be positioned at the corners of an equilateral triangle, and dot 1 be at the center, with hopping terms only between a corner dot and the center dot.

Ferromagnetism in Quantum Dot Plaquettes We will let dots 2 through 4 be positioned at the corners of an equilateral triangle, and dot 1 be at the center, with hopping terms only between a corner dot and the center dot

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:54.374164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.719335Z digest=sha256:2a936ba17d2021837a988fd4b9ada05fcbf9431de51700fc8a3485b157b58fbc

Observation 7075c641-459b-4f64-93e1-a54fdda78861 · outbound

This paper cites Hopping We now add a next nearest neighbor hopping term td between the outer corners of the Y-shaped configuration.

Ferromagnetism in Quantum Dot Plaquettes Hopping We now add a next nearest neighbor hopping term td between the outer corners of the Y-shaped configuration

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:54.333447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.726114Z digest=sha256:c81da206b3bde1e8de515ca1cc9a42334fd73ec8a0ab5ba591e48a91270e969c

Observation 018ecdca-494c-4910-a03e-6d7a82963926 · outbound

This paper cites However, due to conservation of spin, only states where the two single electrons form a spin singlet will contribute, and thus we need only consider 12 states.

Ferromagnetism in Quantum Dot Plaquettes However, due to conservation of spin, only states where the two single electrons form a spin singlet will contribute, and thus we need only consider 12 states

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:54.306280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.737006Z digest=sha256:0b1a6f02a975c1904afaf0b06f36a7c79b14a0fb00830d3f2fcfd5538b11a41f

Observation 9ad093e8-0d66-476c-9a1c-ec35e36494e9 · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.276742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.747418Z digest=sha256:57109743f44421e868e9ff6758835735608afe72f784521a3fc90fcfa28ad7af

Observation 17fc22da-d079-41e6-9ed2-b862c1f4ffc3 · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.238025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.756690Z digest=sha256:3a20b9667baa24a70c565b5641ab494fafa66c7d27405b5651cb8d274e81b2ab

Observation 8c01e204-8169-4d51-aa9e-2c25c15fa69a · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.203986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.763293Z digest=sha256:57913c975b3fbd64b182714980fe1379b71ad04690b24c97f9e3cd89fc2d3924

Observation f03f8f72-b794-4c34-8f22-20d8a1eeadfa · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.170615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.775044Z digest=sha256:557ce8e86d442ea8b87c9b593f18844eadac0d5d0a01341ff9b64de726d1a54c

Observation 9f641c05-b6ea-4c43-91c8-bee08ba863fb · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.131797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.783118Z digest=sha256:2db5db6b89a9688019895486aab705a90cd20a95ba84ac6ea88d1e85bca9de29

Observation bf28fd5d-3f3f-4ddd-a0ea-6d3ad295ea81 · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.104975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.789221Z digest=sha256:4253426ce2951d29c141f77a147e13c503742081ab43810941da626dd4b47430

Observation 6020498f-09ba-45a8-83e0-91e85c7bf4df · outbound

This paper cites Thus, the |Ψ± 0⟩ degeneracy remains unbroken, due to the three-fold rotational symmetry of the system.

Ferromagnetism in Quantum Dot Plaquettes Thus, the |Ψ± 0⟩ degeneracy remains unbroken, due to the three-fold rotational symmetry of the system

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:54.072862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.798233Z digest=sha256:3dd2d6dfc6e93e1fe037805627a86c49097342a6d04da0d923b63a506de8a932

Observation f2c91362-34bc-4cd6-9fda-d0e7efdbeaaf · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:54.044722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.805896Z digest=sha256:2653ce17740bf21dc0b19c800ca582350733a5c3329707fabc4cb9c70b3a3389

Observation 6a636762-2ddd-4550-bd5b-bc2513cb97fe · outbound

This paper cites For spin 2, there are five states for each value of Sz corresponding to the position of the hole, since there is only one spin configuration for a given value of Sz that has spin 2.

Ferromagnetism in Quantum Dot Plaquettes For spin 2, there are five states for each value of Sz corresponding to the position of the hole, since there is only one spin configuration for a given value of Sz that has spin 2

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:54.016125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.814745Z digest=sha256:b71f65af70a3bbba90fa9bb24dcb29b262ec306155de9bacdc8a9bcfa57b417d

Observation 68afe9e9-956c-44e2-b058-ef66502fbcf5 · outbound

This paper cites We define the following spin configurations: |ψj 1⟩ = 1 2 [ |↑↑↑↓⟩ +ejπi 2 |↑↑↓↑⟩ +e2jπi 2 |↑↓↑↑⟩ +e3jπi 2 |↓↑↑↑⟩ ] (107) for j between 1 and 3.

Ferromagnetism in Quantum Dot Plaquettes We define the following spin configurations: |ψj 1⟩ = 1 2 [ |↑↑↑↓⟩ +ejπi 2 |↑↑↓↑⟩ +e2jπi 2 |↑↓↑↑⟩ +e3jπi 2 |↓↑↑↑⟩ ] (107) for j between 1 and 3

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:42:53.990510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.821343Z digest=sha256:442a2c5ec9286bf4a7a8509828258d79d56dab89cc2c43d56e1b786832b0ca77

Observation 9ac7aa3d-de00-42be-94cf-e9ae1a4c921a · outbound

This paper cites an unresolved cited work.

Ferromagnetism in Quantum Dot Plaquettes Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:42:53.960579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.827882Z digest=sha256:86344250905efde0e927897254eff10c90ce2e0e290e864dfd157be436b3a6f2

Observation ac8e7cab-f376-4e12-af5f-4b426b80f7b9 · outbound

This paper cites Nagaoka ferromagnetism observed in a quantum dot plaquette.

Ferromagnetism in Quantum Dot Plaquettes Nagaoka ferromagnetism observed in a quantum dot plaquette

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:42:53.921914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:42:53.833708Z digest=sha256:8511a67f81f8c30e50a1936cb66be7422c8598f4422120adcab04defbc8bc2a7

Pith citing papers

No inbound Pith citation observations are available.