Holographic competition of phases and superconductivity

Kiritsis, Elias; Li, Li

doi:10.1007/jhep01(2016)147

Cited by 55 publications

(85 citation statements)

References 107 publications

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“…Study along the similar line has been reported very recently in Ref. [19], where a different system with an extra Uð1Þ gauge field on the gravity background is introduced to represent a chemical potential, as an external tuning parameter for the phase transition in high temperature superconductors. This is an example of modeling the phase transitions in reality due to varying a tunable doping parameter.…”

Section: Introductionmentioning

confidence: 56%

“…Finally, we would like to emphasize the difference between our minimal model and the model in Ref. [19]. Instead of using the specific holographic models of superconductor and anti ferro-magnetism as in Ref.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…Instead of using the specific holographic models of superconductor and anti ferro-magnetism as in Ref. [19], our model provides a simpler picture to engineer the holographic phase diagrams based on the setup in Ref. [18].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

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Engineering holographic phase diagrams

Chen¹,

Dai²,

Maity³

et al. 2016

Phys. Rev. D

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By introducing interacting scalar fields, we tried to engineer physically motivated holographic phase diagrams which may be interesting in the context of various known condensed matter systems. We introduce an additional scalar field in the bulk which provides a tunable parameter in the boundary theory. By exploiting the way the tuning parameter changes the effective masses of the bulk interacting scalar fields, desired phase diagrams can be engineered for the boundary order parameters dual to those scalar fields. We give a few examples of generating phase diagrams with phase boundaries which are strikingly similar to the known quantum phases at low temperature such as the superconducting phases. However, the important difference is that all the phases we have discussed are characterized by neutral order parameters. At the end, we discuss if there exists any emerging scaling symmetry associated with a quantum critical point hidden under the dome in this phase diagram.

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Section: Introductionmentioning

confidence: 56%

Section: Conclusion and Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Engineering holographic phase diagrams

Chen¹,

Dai²,

Maity³

et al. 2016

Phys. Rev. D

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show abstract

“…It is completely plausible to generalize the construction in our current simple model to more complicated cases, for instance, taking the interactions between two gauge fields into account, or including a charged scalar field [34] to study the cuprate phase diagram [35,36].…”

Section: Discussionmentioning

confidence: 99%

A novel insulator by holographic Q-lattices

Ling

Liu

2016

J. High Energ. Phys.

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We construct a bulk geometry with Q-lattice structure, which is implemented by two gauge fields and a coupling between the lattice and the Maxwell field. This gravity dual model can describe a novel insulator which exhibits some key features analogous to Mott insulator. In particular, a hard gap in insulating phase as well as vanishing DC conductivity can be simultaneously achieved. In addition, we discuss the non-Drude behavior of the optical conductivity in low frequency region in insulating phase, which exhibits some novel characteristics different from ordinary Mott insulator.

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“…The results, on the contrary, indicate that there is little universality, as by varying the contents of the bulk theory one can dramatically alter the IR behaviour -e. g. reproducing on demand the entire phase diagram of the cuprates with all the four main phases as well as the domains of their coexistence in the extended EM model with the additional vector and scalar fields which represent the competing orders [79,80].…”

Section: D+z-θmentioning

confidence: 99%

Demystifying the holographic mystique: A critical review

Khveshchenko¹

2016

Lith. J. Phys.

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Thus far, in spite of many interesting developments, the overall progress towards a systematic study and classification of various 'strange' metallic states of matter has been rather limited. To that end, it was argued that a recent proliferation of the ideas of holographic correspondence originating from string theory might offer a possible way out of the stalemate. However, after almost a decade of intensive studies into the proposed extensions of the holographic conjecture to a variety of condensed matter problems, the validity of this intriguing approach remains largely unknown. This discussion aims at ascertaining its true status and elucidating the conditions under which some of its predictions may indeed be right (albeit, possibly, for a wrong reason).Keywords: strongly correlated systems, holographic correspondence, transport theory, strange metals, analogue gravity PACS: 71.27.+a Condensed matter holography: the promiseAmong the outstanding grand problems in condensed matter physics is that of a deeper understanding and classification of the so-called 'strange metals' or compressible non-Fermi liquid (NFL) states of the strongly interacting systems. However, despite all the effort and a plethora of the important and nontrivial results obtained with the use of the traditional techniques, this program still remains far from completion.As an alternate approach, over the past decade there have been numerous attempts inspired by the hypothetical idea of holographic correspondence which originated from string/gravity/high energy theory (where it is known under the acronym AdS/ CFT) to adapt its main concepts to various condensed matter (or, even more generally, quantum manybody) systems at finite densities and temperatures [1][2][3][4][5][6][7].In its original context, the bona fide holographic principle postulates that certain d + 1-dimensional ('boundary') quantum field theories (e. g. the maximally supersymmetric SU(N) gauge theory) may allow for a dual description in terms of a string theory which, upon a proper compactification, amounts to a certain d + 2-dimensional ('bulk') supergravity. Moreover, in the strong coupling limit (characterized in terms of the t'Hooft coupling constant λ = g 2 N >> 1) and for a large rank N > > 1 of the gauge symmetry group, the bulk description can be further reduced down to a weakly fluctuating gravity model which can even be treated semiclassically at the lowest (0th) order of the underlying 1/N-expansion.In the practical applications of the holographic conjecture, the partition function of a strongly interacting boundary theory with the Lagrangian L(ϕ a ) would then be approximated by a saddle-point (classical) value of the bulk action described by the Lagrangian L(g μν ,…) which includes gravity and other fields dual to their boundary counterparts [1][2][3][4][5][6][7][8] (1) evaluated with the use of a fixed background metric ,while any quantum corrections would usually be neglected by invoking the small parameter 1/N.

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Holographic competition of phases and superconductivity

Cited by 55 publications

References 107 publications

Engineering holographic phase diagrams

Engineering holographic phase diagrams

A novel insulator by holographic Q-lattices

Demystifying the holographic mystique: A critical review

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