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Volumn 95, Issue 26, 2005, Pages

Nonlinear quantum critical transport and the schwinger mechanism for a superfluid-mott-insulator transition of bosons

Author keywords

[No Author keywords available]

Indexed keywords

APPLIED FIELD; EXPLICIT COMPUTATION; NONLINEAR QUANTUM CRITICAL TRANSPORT; SCHWINGER MECHANISM; SUPERFLUID-MOTT-INSULATOR TRANSITION;

EID: 33244476999     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.95.267001     Document Type: Article
Times cited : (70)

References (20)
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    • Cambridge University Press, Cambridge, London
    • S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, London, 1999).
    • (1999) Quantum Phase Transitions
    • Sachdev, S.1
  • 4
    • 4243459294 scopus 로고
    • and references therein
    • See, for example, Y. Kluger et al., Phys. Rev. Lett. 67, 2427 (1991). and references therein.
    • (1991) Phys. Rev. Lett. , vol.67 , pp. 2427
    • Kluger, Y.1
  • 5
    • 0018519788 scopus 로고
    • [Inspec] [ISI]
    • This mechanism of nonlinearity generation by quantum tunneling has a classical analogue in which nonlinearities are generated by thermal activation, e.g., B. I. Halperin and D. R. Nelson, J. Low Temp. Phys. 36, 599 (1979). [Inspec] [ISI]
    • (1979) J. Low Temp. Phys. , vol.36 , pp. 599
    • Halperin, B.I.1    Nelson, D.R.2
  • 6
    • 0001224174 scopus 로고
    • [ISI]
    • M.-C. Chaet al. Phys. Rev. B 44, 6883 (1991). [ISI]
    • (1991) Phys. Rev. B , vol.44 , pp. 6883
    • Cha, M.-C.1
  • 8
    • 0000260006 scopus 로고
    • In that work a dissipative bath is part of the fixed point action, and so the existence of a nonlinear response is immediate, much as in stochastic models of classical critical dynamics, e.g., A. T. Dorsey, Phys. Rev. B 43, 7575 (1991). Hamiltonian actions, such as the one we consider, present trickier questions. [ISI]
    • (1991) Phys. Rev. B , vol.43 , pp. 7575
    • Dorsey, A.T.1
  • 9
    • 33244491137 scopus 로고    scopus 로고
    • note
    • degger;(k,t)a(k,t) 〉 and g(k,t)=〈b(-(k,t)a)a(k,t)〉.
  • 14
    • 33244495629 scopus 로고    scopus 로고
    • note
    • The dominant scattering at this order for E-field coupled modes is from other E-field coupled modes; at T=0 and to lowest order in 1/N there are no fluctuations in the other N-1 copies. Because of this, m(E) is O(1/N) rather than O(1) as in thermal equilibrium.
  • 15
    • 33244496326 scopus 로고    scopus 로고
    • note
    • ||.
  • 16
    • 0035425466 scopus 로고    scopus 로고
    • 2], one finds an apparent universal conductivity. This was first recognized in linear response at thermal equilibrium by D. Dalidovich and P. Phillips, Phys. Rev. B 64, 052507 (2001). It occurs due to a cancellation of the exponentially small density of carriers with the correspondingly small scattering between them. [ISI]
    • (2001) Phys. Rev. B , vol.64 , pp. 052507
    • Dalidovich, D.1    Phillips, P.2
  • 18
    • 33244472048 scopus 로고    scopus 로고
    • note
    • Note that the absence of energy current and momentum current relaxation does not feed into the relaxation of electrical current. Energy and momentum currents are even under charge conjugation, whereas charge current is odd. This prevents mixing under the RG flow and permits a finite charge conductivity notwithstanding the infinite energy and momentum conductivities.


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