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Volumn 65, Issue 22, 2002, Pages 1-10

Thermodynamics of strongly disordered spin ladders

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EID: 85038307515     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.65.224428     Document Type: Article
Times cited : (2)

References (36)
  • 5
    • 0003540777 scopus 로고
    • For a review, see, e.g, edited by J. S. Miller (Plenum Press, New York
    • For a review, see, e.g., Extended Linear Chain Compounds, edited by J. S. Miller (Plenum Press, New York, 1983), Vol. 3.
    • (1983) Extended Linear Chain Compounds , vol.3
  • 6
    • 0042935965 scopus 로고    scopus 로고
    • For a review, see, e.g
    • For a review, see, e.g., E. Dagotto and T. M. Rice, Science 271, 618 (1996).
    • (1996) Science , vol.271 , pp. 618
    • Dagotto, E.1    Rice, T.M.2
  • 34
    • 0001632715 scopus 로고    scopus 로고
    • As spins and bonds are decimated, the number of spins coupled to a given spin (or its effective coordination number) becomes larger and larger, which is typical when couplings beyond one dimension are present [see, e.g
    • As spins and bonds are decimated, the number of spins coupled to a given spin (or its effective coordination number) becomes larger and larger, which is typical when couplings beyond one dimension are present [see, e.g., Olexei Motrunich, Siun-Chuon Mau, David A. Huse, and Daniel S. Fisher, Phys. Rev. B 61, 1160 (2000)]; thus the number of spins that are coupled to the strongest bond one plans to decimate also grows. However, just like this case to second order we only need to treat a four-spin cluster at a given time.
    • (2000) Phys. Rev. B , vol.61 , pp. 1160
    • Motrunich, O.1    Mau, S.-C.2    Huse, D.A.3    Daniel Fisher, S.4
  • 35
    • 0003570366 scopus 로고
    • See, e.g, Addison-Wesley, Reading, MA
    • See, e.g., J. J. Sakurai, Modern Quantum Mechanics (Addison-Wesley, Reading, MA, 1994), p. 241.
    • (1994) Modern Quantum Mechanics , pp. 241
    • Sakurai, J.J.1
  • 36
    • 85038321020 scopus 로고    scopus 로고
    • When the sizes of the spins are not uniform, in principle there can be different ways to define the strongest bond; see, e.g., Ref. 10. As we will see later in the present case the majority of the spins remain to be spin-1/2 in all stages of the RG; we thus simply choose to define the strongest bond to be the bond with the largest absolute value of the bond strength, regardless of the sizes of the spins that it couples
    • When the sizes of the spins are not uniform, in principle there can be different ways to define the strongest bond; see, e.g., Ref. 10. As we will see later in the present case the majority of the spins remain to be spin-1/2 in all stages of the RG; we thus simply choose to define the strongest bond to be the bond with the largest absolute value of the bond strength, regardless of the sizes of the spins that it couples.


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