We demonstrate a remarkable property of metallic Fermi liquids: the transverse conductivity assumes a universal value in the quasi-static (omega -> 0) limit for wavevectors q in the regime l(mfp)(-1) << q << p(F), where l(mfp) is the mean free path and p(F) is the Fermi momentum. This value is (e(2)/h)R-FS/q in two dimensions (2D), where R-FS measures the local radius of curvature of the Fermi surface (FS) in momentum space. Even more surprisingly, we find that U(1) spin liquids with a spinon FS have the same universal transverse conductivity. This means such spin liquids behave effectively as metals in this regime, even though they appear insulating in standard transport experiments. Moreover, we show that transverse current fluctuations result in a universal low-frequency magnetic noise that can be directly probed by a spin qubit, such as a nitrogen-vacancy (NV) center in diamond, placed at a distance z above of the 2D metal or spin liquid. Specifically the magnetic noise is given by C omega P-FS/z, where P-FS is the perimeter of the FS in momentum space and C is a combination of fundamental constants of nature. Therefore these observables are controlled purely by the geometry of the FS and are independent of kinematic details of the quasi-particles, such as their effective mass and interactions. This behavior can be used as a new technique to measure the size of the FS of metals and as a smoking gun probe to pinpoint the presence of the elusive spinon FS in two-dimensional systems. We estimate that this universal regime is within reach of current NV center spectroscopic techniques for several spinon FS candidate materials.
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[1]
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Agarwal, Kartiek
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Schmidt, Richard
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Harvard Smithsonian Ctr Astrophys, ITAMP, 60 Garden St, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Schmidt, Richard
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Halperin, Bertrand
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Halperin, Bertrand
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Oganesyan, Vadim
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CUNY, CSI, Dept Engn & Phys, New York, NY 10016 USA
CUNY, Grad Ctr, New York, NY 10016 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Oganesyan, Vadim
;
Zarand, Gergely
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Budapest Univ Technol & Econ, Dept Theoret Phys, H-1521 Budapest, Hungary
Budapest Univ Technol & Econ, BME MTA Exot Quantum Phases Res Grp, H-1521 Budapest, HungaryHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Zarand, Gergely
;
Lukin, Mikhail D.
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Lukin, Mikhail D.
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Demler, Eugene
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Andersen, Trond I.
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Dwyer, Bo L.
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Dwyer, Bo L.
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Sanchez-Yamagishi, Javier D.
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Univ Calif Irvine, Dept Phys & Astron, Irvine, CA 92697 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Sanchez-Yamagishi, Javier D.
;
Rodriguez-Nieva, Joaquin F.
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Rodriguez-Nieva, Joaquin F.
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Agarwal, Kartiek
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Watanabe, Kenji
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Natl Inst Mat Sci, Namiki 1-1, Tsukuba, Ibaraki 3050044, JapanHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Watanabe, Kenji
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Taniguchi, Takashi
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Natl Inst Mat Sci, Namiki 1-1, Tsukuba, Ibaraki 3050044, JapanHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Taniguchi, Takashi
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Demler, Eugene A.
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Demler, Eugene A.
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Kim, Philip
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USA
Harvard Univ, John A Paulson Sch Engn & Appl Sci, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Kim, Philip
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Park, Hongkun
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USA
Harvard Univ, Dept Chem & Chem Biol, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Park, Hongkun
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Lukin, Mikhail D.
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
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Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Block, Matthew S.
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Sheng, D. N.
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Calif State Univ Northridge, Dept Phys & Astron, Northridge, CA 91330 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Sheng, D. N.
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Motrunich, Olexei I.
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CALTECH, Dept Phys, Pasadena, CA 91125 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Motrunich, Olexei I.
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Fisher, Matthew P. A.
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Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
CALTECH, Dept Phys, Pasadena, CA 91125 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
机构:
Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Agarwal, Kartiek
;
Schmidt, Richard
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Harvard Smithsonian Ctr Astrophys, ITAMP, 60 Garden St, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Schmidt, Richard
;
Halperin, Bertrand
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Halperin, Bertrand
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Oganesyan, Vadim
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CUNY, CSI, Dept Engn & Phys, New York, NY 10016 USA
CUNY, Grad Ctr, New York, NY 10016 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Oganesyan, Vadim
;
Zarand, Gergely
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Budapest Univ Technol & Econ, Dept Theoret Phys, H-1521 Budapest, Hungary
Budapest Univ Technol & Econ, BME MTA Exot Quantum Phases Res Grp, H-1521 Budapest, HungaryHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Zarand, Gergely
;
Lukin, Mikhail D.
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Lukin, Mikhail D.
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Demler, Eugene
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Andersen, Trond I.
;
Dwyer, Bo L.
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h-index: 0
机构:
Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Dwyer, Bo L.
;
Sanchez-Yamagishi, Javier D.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Irvine, Dept Phys & Astron, Irvine, CA 92697 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Sanchez-Yamagishi, Javier D.
;
Rodriguez-Nieva, Joaquin F.
论文数: 0引用数: 0
h-index: 0
机构:
Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Rodriguez-Nieva, Joaquin F.
;
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Agarwal, Kartiek
;
Watanabe, Kenji
论文数: 0引用数: 0
h-index: 0
机构:
Natl Inst Mat Sci, Namiki 1-1, Tsukuba, Ibaraki 3050044, JapanHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Watanabe, Kenji
;
Taniguchi, Takashi
论文数: 0引用数: 0
h-index: 0
机构:
Natl Inst Mat Sci, Namiki 1-1, Tsukuba, Ibaraki 3050044, JapanHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Taniguchi, Takashi
;
Demler, Eugene A.
论文数: 0引用数: 0
h-index: 0
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Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Demler, Eugene A.
;
Kim, Philip
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h-index: 0
机构:
Harvard Univ, Dept Phys, Cambridge, MA 02138 USA
Harvard Univ, John A Paulson Sch Engn & Appl Sci, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Kim, Philip
;
Park, Hongkun
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h-index: 0
机构:
Harvard Univ, Dept Phys, Cambridge, MA 02138 USA
Harvard Univ, Dept Chem & Chem Biol, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
Park, Hongkun
;
Lukin, Mikhail D.
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h-index: 0
机构:
Harvard Univ, Dept Phys, Cambridge, MA 02138 USAHarvard Univ, Dept Phys, Cambridge, MA 02138 USA
机构:
Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Block, Matthew S.
;
Sheng, D. N.
论文数: 0引用数: 0
h-index: 0
机构:
Calif State Univ Northridge, Dept Phys & Astron, Northridge, CA 91330 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Sheng, D. N.
;
Motrunich, Olexei I.
论文数: 0引用数: 0
h-index: 0
机构:
CALTECH, Dept Phys, Pasadena, CA 91125 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
Motrunich, Olexei I.
;
Fisher, Matthew P. A.
论文数: 0引用数: 0
h-index: 0
机构:
Univ Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA
CALTECH, Dept Phys, Pasadena, CA 91125 USAUniv Calif Santa Barbara, Dept Phys, Santa Barbara, CA 93106 USA