Doped antiferromagnet: The instability of homogeneous magnetic phases

Auerbach, Assa; Larson, B. E.

doi:10.1103/physrevb.43.7800

Cited by 107 publications

(60 citation statements)

References 29 publications

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“…IV A by calculating the fluctuations of the Hubbard-Stratonovich auxiliary fields [42]. To this end, we expand the grand-canonical partition function in Eq.…”

Section: B Gaussian Fluctuations Beyond Mean-field Theorymentioning

confidence: 99%

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Theory of integer quantum Hall polaritons in graphene

et al. 2014

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We present a theory of the cavity quantum electrodynamics of the graphene cyclotron resonance. By employing a canonical transformation, we derive an effective Hamiltonian for the system comprising two neighboring Landau levels dressed by the cavity electromagnetic field (integer quantum Hall polaritons). This generalized Dicke Hamiltonian, which contains terms that are quadratic in the electromagnetic field and respects gauge invariance, is then used to calculate thermodynamic properties of the quantum Hall polariton system. Finally, we demonstrate that the generalized Dicke description fails when the graphene sheet is heavily doped, i.e., when the Landau level spectrum of two-dimensional massless Dirac fermions is approximately harmonic. In this case we "integrate out" the Landau levels in valence band and obtain an effective Hamiltonian for the entire stack of Landau levels in conduction band, as dressed by strong light-matter interactions.

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“…IV A by calculating the fluctuations of the Hubbard-Stratonovich auxiliary fields [42]. To this end, we expand the grand-canonical partition function in Eq.…”

Section: B Gaussian Fluctuations Beyond Mean-field Theorymentioning

confidence: 99%

“…In the following, we apply the SPA for the auxiliary complex fields by neglecting their imaginary-time dependence and the steepest descent method with respect to the auxiliary fields. In order to find the saddle point we have to deform the contours of integration with respect to the static auxiliary fields in the complex plane [42].…”

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confidence: 99%

Theory of integer quantum Hall polaritons in graphene

et al. 2014

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“…Interestingly, it turns out that the doped spin-Peierls state also generically phase separates [390,[432][433][434]. When the effect of long range Coulomb interactions are included, the result is a staircase of commensurate stripe phases [434].…”

Section: Additional Considerations and Alternative Perspectivesmentioning

confidence: 99%

Concepts in High Temperature Superconductivity

Carlson

Kivelson

Orgad

et al. 2004

The Physics of Superconductors

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PrefaceIt is the purpose of this paper to explore the theory of high temperature superconductivity. Much of the motivation for this comes from the study of cuprate high temperature superconductors. However, we do not focus in great detail on the remarkable and exciting physics that has been discovered in these materials. Rather, we focus on the core theoretical issues associated with the mechanism of high temperature superconductivity. Although our discussions of theoretical issues in a strongly correlated superconductor are intended to be self contained and pedagogically complete, our discussions of experiments in the cuprates are, unfortunately, considerably more truncated and impressionistic.Our primary focus is on physics at intermediate temperature scales of order T c (as well as the somewhat larger "pseudogap" temperature) and energies of order the gap maximum, ∆ 0 . Consequently (and reluctantly) we have omitted any detailed discussion of a number of fascinating topics in cuprate superconductivity, including the low energy physics associated with nodal quasiparticles, the properties of the vortex matter which results from the application of a magnetic field, the effects of disorder, and a host of material specific issues. This paper is long enough as it is!

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“…However, as already pointed out in [24,27,36,42,43], the negative coefficient of the term proportional to n 2 (i.e. a negative compressibility) leads to an instability of the 45 degrees spiral against increasing the local fermion density by decreasing the wavelength 2π/k of the spiral.…”

Section: One Populated Hole Pocket: 45 Degrees Spiralmentioning

confidence: 77%

“…Using a variety of numerical and analytic techniques, a wide range of interesting phenomena has been investigated in doped antiferromagnets. In particular, it was suggested that spiral phases with an inhomogeneous staggered magnetization may replace the Néel phase of the undoped antiferromagnet even at arbitrarily small doping [7,11,19,22,24,25,26,27,28,29,32,33,36,37,38,39,40,42,43]. In a spiral phase the staggered magnetization develops a helix structure, and the Néel ordered antiferromagnet thus turns into a helimagnet.…”

Section: Introductionmentioning

confidence: 99%

Homogeneous versus spiral phases of hole-doped antiferromagnets: A systematic effective field theory investigation

et al. 2007

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Using the low-energy effective field theory for magnons and holes -the condensed matter analog of baryon chiral perturbation theory for pions and nucleons in QCD -we study different phases of doped antiferromagnets. We systematically investigate configurations of the staggered magnetization that provide a constant background field for doped holes. The most general configuration of this type is either constant itself or it represents a spiral in the staggered magnetization. Depending on the values of the low-energy parameters, a homogeneous phase, a spiral phase, or an inhomogeneous phase is energetically favored. The reduction of the staggered magnetization upon doping is also investigated.

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Doped antiferromagnet: The instability of homogeneous magnetic phases

Cited by 107 publications

References 29 publications

Theory of integer quantum Hall polaritons in graphene

Theory of integer quantum Hall polaritons in graphene

Concepts in High Temperature Superconductivity

Homogeneous versus spiral phases of hole-doped antiferromagnets: A systematic effective field theory investigation

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