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Ioffe-Larkin rule applies for the pure charge-spin separation regardless of its dimensionality. Here, an extension to this rule as a result of the coexistence of spinon, holon and electron as a single entity in the 2-dimensional (2D) system…

Strongly Correlated Electrons · Physics 2009-11-10 Andrew Das Arulsamy

The charge dynamics of spin-liquid states described by U(1) gauge theory coupling to fermionic spinons is discussed in this paper. We find that the gapless spinons give rise to a power law optical conductivity inside the charge gap. The…

Strongly Correlated Electrons · Physics 2009-11-13 Tai-Kai Ng , Patrick A. Lee

With the organic compound $\kappa$-(BEDT-TTF)$_2$-Cu$_2$(CN)$_3$ in mind, we consider a spin liquid system where a spinon Fermi surface is coupled to a U(1) gauge field. Using the non-equilibrium Green's function formalism, we derive the…

Strongly Correlated Electrons · Physics 2009-11-13 Cody P. Nave , Patrick A. Lee

In this paper we study the nonlinear current response of $U(1)$ spin liquids with large spinon Fermi surfaces under the perturbation of a time-dependent ac electric field $\mathbf{E}(t)$ within the framework of an effective $U(1)$ gauge…

Strongly Correlated Electrons · Physics 2016-06-15 Yuan-Fei Ma , Tai-Kai Ng

We show that the optical spin conductivity being a small AC response of a bulk spin current and elusive in condensed matter systems can be measured in ultracold atoms. We demonstrate that this conductivity contains rich information on…

Quantum Gases · Physics 2022-10-14 Yuta Sekino , Hiroyuki Tajima , Shun Uchino

We analyze optical conductivity with the goal to demonstrate experimental manifestation of a new state of matter, the so-called fermion condensate. Fermion condensates are realized in quantum spin liquids, exhibiting typical behavior of…

Strongly Correlated Electrons · Physics 2018-06-20 V. R. Shaginyan , A. Z. Msezane , V. A. Stephanovich , K. G. Popov , G. S. Japaridze

Surface plasmon polaritons in planar graphene superlattices with one-dimensional periodic mo-dulation of the band gap were studied. The interminiband contribution to the optical conductivity of this system was found by the equation of…

Mesoscale and Nanoscale Physics · Physics 2020-05-06 Pavel V. Ratnikov

We study the optical conductivity of a pristine two-dimensional electron system near an Ising-nematic quantum critical point. We discuss the relation between the frequency scaling of the conductivity and the shape of the Fermi surface,…

Strongly Correlated Electrons · Physics 2023-12-08 Songci Li , Prachi Sharma , Alex Levchenko , Dmitrii L. Maslov

We study the transverse dynamical spin susceptibility of the two dimensional U(1) spinon Fermi surface spin liquid in a small applied Zeeman field. We show that both short-range interactions, present in a generic Fermi liquid, as well as…

Strongly Correlated Electrons · Physics 2020-01-15 Leon Balents , Oleg A. Starykh

We present experimental evidence that a heavy Fermi surface consisting of itinerant, charge-neutral spinons underpins both heavy-fermion-strange-metal (without f electrons) and quantum-spin-liquid states in the 4d-electron trimer lattice,…

Strongly Correlated Electrons · Physics 2024-05-31 Hengdi Zhao , Yu Zhang , Pedro Schlottmann , Rahul Nandkishore , Gang Cao

We study the stability of the 2+1 dimensional U(1) spin liquid state against proliferation of instantons in the presence of spinon Fermi surface. By mapping the spinon Fermi surface into an infinite set of 1+1 dimensional chiral fermions,…

Strongly Correlated Electrons · Physics 2008-08-26 Sung-Sik Lee

We analyze optical conductivity of a clean two-dimensional electron system in a Fermi liquid regime near a $T=0$ Ising-nematic quantum critical point (QCP), and extrapolate the results to a QCP. We employ direct perturbation theory up to…

Strongly Correlated Electrons · Physics 2024-03-28 Yasha Gindikin , Andrey V. Chubukov

We consider the optical conductivity of a clean two-dimensional metal near a quantum spin-density-wave transition. Critical magnetic fluctuations are known to destroy fermionic coherence at "hot spots" of the Fermi surface but coherent…

Strongly Correlated Electrons · Physics 2015-06-18 Andrey V. Chubukov , Dmitrii L. Maslov , Vladimir I. Yudson

Two-component dipolar fermions in zigzag optical lattices allow for the engineering of spin-orbital models. We show that dipolar lattice fermions permit the exploration of a regime typically unavailable in solid-state compounds that is…

Strongly Correlated Electrons · Physics 2015-11-26 G. Sun , A. K. Kolezhuk , L. Santos , T. Vekua

Fermi liquid theory is remarkably successful in describing the transport and optical properties of metals; at frequencies higher than the scattering rate, the optical conductivity adopts the well-known power law behavior $\sigma_1(\omega)…

Superconductivity · Physics 2013-12-17 C. C. Homes , J. J. Tu , J. Li , G. D. Gu , A. Akrap

A Fermi surface coupled to a scalar field can be described in a $1/N$ expansion by choosing the fermion-scalar Yukawa coupling to be random in the $N$-dimensional flavor space, but invariant under translations. We compute the conductivity…

Strongly Correlated Electrons · Physics 2023-07-20 Haoyu Guo , Aavishkar A. Patel , Ilya Esterlis , Subir Sachdev

Leveraging cutting-edge numerical methodologies, we study the ground state of the two-dimensional spin-polarized Fermi gas in an optical lattice. We focus on systems at high density and small spin polarization, corresponding to the…

Quantum Gases · Physics 2022-05-30 Ettore Vitali , Peter Rosenberg , Shiwei Zhang

We demonstrate a remarkable property of metallic Fermi liquids: the transverse conductivity assumes a universal value in the quasi-static ($\omega \rightarrow 0$) limit for wavevectors $q$ in the regime $l_{\rm mfp}^{-1} \ll q \ll p_{\rm…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Jun Yong Khoo , Falko Pientka , Inti Sodemann

We theoretically investigate optical (frequency-dependent) bulk spin transport properties in a spin-1/2 topological Fermi superfluid. We specifically consider a one-dimensional system with an interspin {\it p}-wave interaction, which can be…

Quantum Gases · Physics 2024-01-17 Hiroyuki Tajima , Yuta Sekino , Shun Uchino

We present a theory of three dimensional fractionalized topological insulators in the form of U(1) spin liquids with gapped fermionic spinons in the bulk and topologically protected gapless spinon surface states. Starting from a spin-1/2…

Strongly Correlated Electrons · Physics 2012-06-27 Subhro Bhattacharjee , Yong Baek Kim , Sung-Sik Lee , Dung-Hai Lee
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