The phase diagrams of the high temperature superconductors Talk online: sachdev.

The phase diagrams of the high temperature superconductors Talk online: sachdev. www.phwiki.com

The phase diagrams of the high temperature superconductors Talk online: sachdev.

Joseph, Elizabeth, News/Events Director has reference to this Academic Journal, PHwiki organized this Journal The phase diagrams of the high temperature superconductors Talk online: sachdev.physics.harvard.edu Max Metlitski, Harvard Eun Gook Moon, Harvard The cuprate superconductors

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Ground state has long-range Néel order Square lattice antiferromagnet The cuprate superconductors d-wave superconductor Antiferromagnet The cuprate superconductors d-wave superconductor Antiferromagnet Incommensurate/disordered antiferromagnetism in addition to charge order

The cuprate superconductors d-wave superconductor Antiferromagnet Pseudogap Incommensurate/disordered local antiferromagnetism in addition to charge order The cuprate superconductors d-wave superconductor Antiferromagnet Strange Metal Pseudogap Incommensurate/disordered local antiferromagnetism in addition to charge order Central ingredients in cuprate phase diagram: antiferromagnetism, superconductivity, in addition to change in Fermi surface Strange Metal

Iron pnictides: a new class of high temperature superconductors S. N in addition to i, M. G. Kim, A. Kreyssig, R. M. Fern in addition to es, D. K. Pratt, A. Thaler, N. Ni, S. L. Bud’ko, P. C. Canfield, J. Schmalian, R. J. McQueeney, A. I. Goldman, Physical Review Letters 104, 057006 (2010). Iron pnictides: a new class of high temperature superconductors Temperature-doping phase diagram of the iron pnictides: S. Kasahara, T. Shibauchi, K. Hashimoto, K. Ikada, S. Tonegawa, R. Okazaki, H. Shishido, H. Ikeda, H. Takeya, K. Hirata, T. Terashima, in addition to Y. Matsuda, Physical Review B 81, 184519 (2010) SDW Superconductivity

N. D. Mathur, F. M. Grosche, S. R. Julian, I. R. Walker, D. M. Freye, R. K. W. Haselwimmer, in addition to G. G. Lonzarich, Nature 394, 39 (1998) Lower Tc superconductivity in the heavy fermion compounds CePd2Si2 Lower Tc superconductivity in the heavy fermion compounds G. Knebel, D. Aoki, in addition to J. Flouquet, arXiv:0911.5223 Can quantum fluctuations near the loss of antiferromagnetism induce higher temperature superconductivity Questions

Can quantum fluctuations near the loss of antiferromagnetism induce higher temperature superconductivity If so, why is there no antiferromagnetism in the cuprates near the point where the superconductivity is strongest Questions Can quantum fluctuations near the loss of antiferromagnetism induce higher temperature superconductivity If so, why is there no antiferromagnetism in the cuprates near the point where the superconductivity is strongest What is the physics of the strange metal Questions 1. Loss of antiferromagnetism in an insulator Coupled-dimer antiferromagnets in addition to quantum criticality 2. Onset of antiferromagnetism in a metal From large Fermi surfaces to Fermi pockets 3. Unconventional superconductivity Pairing from antiferromagnetic fluctuations 4. Competing orders Phase diagram in a magnetic field 5. Strongly-coupled quantum criticality in metals Fluctuating antiferromagnetism in addition to Fermi surfaces Outline

1. Loss of antiferromagnetism in an insulator Coupled-dimer antiferromagnets in addition to quantum criticality 2. Onset of antiferromagnetism in a metal From large Fermi surfaces to Fermi pockets 3. Unconventional superconductivity Pairing from antiferromagnetic fluctuations 4. Competing orders Phase diagram in a magnetic field 5. Strongly-coupled quantum criticality in metals Fluctuating antiferromagnetism in addition to Fermi surfaces Outline Ground state has long-range Néel order Square lattice antiferromagnet Square lattice antiferromagnet J J/ Weaken some bonds to induce spin entanglement in a new quantum phase

Square lattice antiferromagnet J J/ Ground state is a “quantum paramagnet” with spins locked in valence bond singlets Pressure in TlCuCl3 A. Oosawa, K. Kakurai, T. Osakabe, M. Nakamura, M. Takeda, in addition to H. Tanaka, Journal of the Physical Society of Japan, 73, 1446 (2004).

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TlCuCl3 An insulator whose spin susceptibility vanishes exponentially as the temperature T tends to zero. TlCuCl3 Quantum paramagnet at ambient pressure TlCuCl3 Neel order under pressure A. Oosawa, K. Kakurai, T. Osakabe, M. Nakamura, M. Takeda, in addition to H. Tanaka, Journal of the Physical Society of Japan, 73, 1446 (2004).

Quantum critical point with non-local entanglement in spin wavefunction CFT3

Can quantum fluctuations near the loss of antiferromagnetism induce higher temperature superconductivity If so, why is there no antiferromagnetism in the cuprates near the point where the superconductivity is strongest Questions in addition to answers Yes What is the physics of the strange metal Competition between antiferromagnetism in addition to superconductivity has shifted the antiferromagnetic quantum-critical point (QCP), in addition to shrunk the region of antiferromagnetism. This QCP shift is largest in the cuprates Can quantum fluctuations near the loss of antiferromagnetism induce higher temperature superconductivity If so, why is there no antiferromagnetism in the cuprates near the point where the superconductivity is strongest Questions in addition to answers Yes What is the physics of the strange metal Proposal: strongly-coupled quantum criticality of fluctuating antiferromagnetism in a metal Competition between antiferromagnetism in addition to superconductivity has shifted the antiferromagnetic quantum-critical point (QCP), in addition to shrunk the region of antiferromagnetism. This QCP shift is largest in the cuprates

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