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Physical Review Letters

Volumn 60, Issue 8, 1988, Pages 740-743

Two-particle excitations in antiferromagnetic insulators

(2) Shraiman, Boris I a Siggia, Eric D a,b

a LUCENT TECHNOLOGIES (United States)

b Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4143052740 PISSN: 00319007 EISSN: None Source Type: Journal
DOI: 10.1103/PhysRevLett.60.740 Document Type: Article

Times cited : (301)

References (28)

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11
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12
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- H. Yokoyama and H. Shiba, to be published.

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19
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- L. B. Ioffe and A. I. Larkin [Phys. Rev. B (to be published)] have elaborated the work of Y. Nagaoka [, ] but ignore BR and implicitly take J / w
- (1966) Phys. Rev. , vol.147 , pp. 392

20
- 84927889387
- See Nagoaka, Ref. 11.

21
- 84927889386
- Although (4) can be solved analytically in the small-J limit as a one-dimensional ``potential'' problem on the half-line l >= 0, it is not possible in more than one physical dimension to write any simple Schrödinger equation in terms of the hole position, r vec, alone. In particular H = -2 sqrt 3 w - w del2+ Jr is incorrect since for a random walk r app l1/2 and the potential energy is linear in l, not r.

22
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24
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- Hirsch only calculates for large J while Takahashi's approximation for one and two holes is explicitly inconsistent for small J.

25
- 84927889384
- We thank W. F. Brinkman for this example.

26
- 84927889383
- D. Frenkel, private communication.

27
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- B. I. Shraiman and E. D. Siggia, to be published.

28
- 84927889381
- Similar conclusions have been reached by S. Trugman.

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