Competing orders in M-theory: superfluids, stripes and metamagnetism

Competing orders in M-theory: superfluids, stripes and metamagnetism
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DOI:
10.1007/jhep03(2013)108
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发表时间:
2012-12
影响因子:
5.4
通讯作者:
Aristomenis Donos;J. Gauntlett;J. Sonner;Benjamin Withers
Aristomenis Donos;J. Gauntlett;J. Sonner;Benjamin Withers
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Aristomenis Donos;J. Gauntlett;J. Sonner;Benjamin Withers

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在有限温度、有限电荷密度和有磁场的情况下,我们分析了无限类d=3CFT对偶到斜扰的ADS4×SE7超引力解。我们构造了与未破缺相对应的黑洞解,并且在零温下,其中一些黑洞成为爱因斯坦-麦克斯韦-伪标量理论的双子域壁,它介于UV中的ADS4和IR中的新的双子解族之间。黑洞既表现出抗磁行为,也表现出顺磁行为。我们分析了超流不稳定性和条带不稳定性,结果表明,当磁场足够大时,超流体不稳定性消失,而条带不稳定性仍然存在。对于较大的磁场,也存在一级变磁相变,在零温下,这些黑洞解在动力学指数z=3/2和θ=−为2的红外光谱中表现出超标度破坏。
We analyse the infinite class of d= 3 CFTs dual to skew-whiffed AdS 4× SE 7 solutions of D= 11 supergravity at finite temperature and charge density and in the presence of a magnetic field. We construct black hole solutions corresponding to the unbroken phase, and at zero temperature some of these become dyonic domain walls of an Einstein-Maxwell-pseudo-scalar theory interpolating between AdS 4 in the UV and new families of dyonicsolutions in the IR. The black holes exhibit both diamagnetic and paramagnetic behaviour. We analyse superfluid and striped instabilities and show that for large enough values of the magnetic field the superfluid instability disappears while the striped instability remains. For larger values of the magnetic field there is also a first-order metamagnetic phase transition and at zero temperature these black hole solutions exhibit hyperscaling violation in the IR with dynamical exponent z= 3/2 and θ=− 2.