Quantum Phase Transitions of Metals in Two Spatial Dimensions: II. Spin density Wave Order

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Quantum Phase Transitions of Metals in Two Spatial Dimensions: II. Spin density Wave Order

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Title: Quantum Phase Transitions of Metals in Two Spatial Dimensions: II. Spin density Wave Order
Author: Metlitski, Max; Sachdev, Subir

Note: Order does not necessarily reflect citation order of authors.

Citation: Metlitski, Max, and Subir Sachdev. 2010. Quantum phase transitions of metals in two spatial dimensions: II. Spin density wave order. Physical Review B 82(7): 075128.
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Abstract: We present a field-theoretic renormalization group analysis of Abanov and Chubukov’s model of the spin density wave transition in two dimensional metals. We identify the independent field scale and coupling constant renormalizations in a local field theory and argue that the damping constant of spin density wave fluctuations tracks the renormalization of the local couplings. The divergences at two-loop order overdetermine the renormalization constants and are shown to be consistent with our renormalization scheme. We describe the physical consequences of our renormalization-group equations, including the breakdown of Fermi liquid behavior near the “hot spots” on the Fermi surface. In particular, we find that the dynamical critical exponent z receives corrections to its mean-field value z=2. At higher orders in the loop expansion, we find infrared singularities similar to those found by Lee Phys. Rev. B 80 165102 (2009) for the problem of a Fermi surface coupled to a gauge field. A treatment of these singularities implies that an expansion in 1∕N (where N is the number of fermion flavors) fails for the present problem. We also discuss the renormalization of the pairing vertex and find an enhancement which scales as logarithm squared of the energy scale. A similar enhancement is also found for a modulated bond order which is locally an Ising-nematic order.
Published Version: doi://10.1103/PhysRevB.82.075128
Other Sources: http://arxiv.org/abs/1005.1288v2
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:7970900

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  • FAS Scholarly Articles [7495]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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