Quantum Phase Transitions of Metals in Two Spatial Dimensions: I. Ising-Nematic Order

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Quantum Phase Transitions of Metals in Two Spatial Dimensions: I. Ising-Nematic Order

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Title: Quantum Phase Transitions of Metals in Two Spatial Dimensions: I. Ising-Nematic 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: I. Ising-nematic order. Physical Review B 82(7): 075127.
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Abstract: We present a renormalization group theory for the onset of Ising-nematic order in a Fermi liquid in two spatial dimensions. This is a quantum phase transition, driven by electron interactions, which spontaneously reduces the point-group symmetry from square to rectangular. The critical point is described by an infinite set of 2+1 dimensional local field theories, labeled by points on the Fermi surface. Each field theory contains a real scalar field representing the Ising order parameter, and fermionic fields representing a time-reversed pair of patches on the Fermi surface. We demonstrate that the field theories obey compatibility constraints required by our redundant representation of the underlying degrees of freedom. Scaling forms for the response functions are proposed, and supported by computations by up to three loops. Extensions of our results to other transitions of two-dimensional Fermi liquids with broken point-group and/or time-reversal symmetry are noted. Our results extend also to the problem of a Fermi surface coupled to a U(1) gauge field.
Published Version: doi:10.1103/PhysRevB.82.075127
Other Sources: http://arxiv.org/abs/1001.1153v5
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:6904349

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  • FAS Scholarly Articles [7106]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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