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G. Baskaran

Publications and source records attributed to G. Baskaran.

At least 55 records · Page 3Linked to original sources
arXiv2007

3/2-Fermi liquid: the secret of high-Tc cuprates

Electrical and magnetic properties of underdoped cuprates in the spin gap phase, a precursor to high Tc superconducting state, is riddled with puzzles. We propose a novel reference state to study this phase, where each hole dopant adds one real holon and one real spinon, with Haldane exclusion statistics $g_{\rm h} =1$ and $g_{\rm s} = {1/2}$, to a fairly inert (pseudo gaped) spin liquid vacuum, resulting in a low density spin-charge liquid. Spins and charges interact and form a novel collective state, a \textit{3/2-Fermi liquid}. A holon pairs with a spinon; this hole like fermion composite carries charge +e and a spin-\hlf moment and novel exclusion statistics $g_{\rm hole} = {3/2}$. We explain an anomalous expansion of Fermi sea area by 3/2, seen in recent quantum oscillation experiments at two different dopings.

cond-mat.str-el↗
arXiv2007

Novel electric field effects on Landau levels in Graphene

A single graphene layer exhibits an anomalous Landau level spectrum. A massless Dirac like low energy electronic spectrum underlies this anomaly. We study, analytically and numerically, the effect of a uniform electric field $(E)$ on the anomalous Landau levels. We solve the problem exactly within the Dirac cone approximation and find an interesting scaling of the spectrum, leading to the collapse of the Landau levels at a critical $E_c(B)$, for a given magnetic field $B$. We offer a physical interpretation of our result, which uses `graphene relativity' and the boost operation. Electric fields, non-uniform at nanoscopic ($\sim l_c$, magnetic) length scales, produce local collapse at $E < E_c$. We expect an anomalous breakdown of quantum Hall states in real graphene, induced by large Hall currents.

cond-mat.mes-hall↗
arXiv2007

Tuning Kondo physics in Graphene with gate voltage

We show theoretically that graphene, which exhibits a massless Dirac like spectrum for its electrons, can exhibit unconventional Kondo effect that can be tuned by an experimentally controllable applied gate voltage. We demonstrate the presence of a finite critical Kondo coupling strength in neutral graphene. We discuss the possibility of multichannel Kondo effect in this system which might lead to a non-Fermi liquid like ground state and provide a discussion of possible experimental realization of Kondo phenomenon in graphene.

cond-mat.str-el↗
arXiv2007

Possibility of magnetic field induced Composite Fermi sea in neutral Graphene

Neutral graphene in strong magnetic fields is believed to be an (exchange stabilized) integer Hall state of completely filled up spin (say) and empty down spin bands of n = 0, two fold valley degenerate Landau levels. We suggest that correlation energy gain from a nearly SU(4) singlet (2 spin $\times$ 2 valley) composite fermi sea formation, at $ν\approx$ \hlf filling for each component, destabilizes ferromagnetic integer quantum Hall state. This radically different scenario is consistent with a dissipative gapless state seen in experiments in neutral graphene. Interesting paired Hall states are possible, from residual interactions, in this SU(4) fermi sea with a small Zeeman spin polarization.

cond-mat.mes-hall↗
arXiv2007

Magnetic Impurity States and Ferromagnetic Interaction in Diluted Magnetic Semiconductors

The electronic structure of diluted magnetic semiconductors is studied, especially focusing on the hole character. The Haldane-Anderson model is extend to a magnetic impurity, and is analyzed in the Hartree-Fock approximation. Due to the strong hybridization of an impurity d-states with host p-states, it is shown that holes are created in the valence band, at the same time the localized magnetic moments are formed. These holes are weakly bound around the impurity site with the characteristic length of several lattice constants. For the case of the two impurities, it is found that when the separation of two impurities is of the order of the length of holes, the overlap of these holes favors the ferromagnetic interaction. The spatially extended holes play an essential role for the ferromagnetic exchange interaction.

cond-mat.mes-hall↗
arXiv2007

Exact results for spin dynamics and fractionization in the Kitaev Model

We present certain exact analytical results for dynamical spin correlation functions in the Kitaev Model. It is the first result of its kind in non-trivial quantum spin models. The result is also novel: in spite of presence of gapless propagating Majorana fermion excitations, dynamical two spin correlation functions are identically zero beyond nearest neighbor separation, showing existence of a gapless but short range spin liquid. An unusual, \emph{all energy scale fractionization}of a spin -flip quanta, into two infinitely massive $π$-fluxes and a dynamical Majorana fermion, is shown to occur. As the Kitaev Model exemplifies topological quantum computation, our result presents new insights into qubit dynamics and generation of topological excitations.

cond-mat.str-el↗
arXiv2006

Superconductivity in optimally doped Cuprates: BZA Program works well & Superexchange is the Glue

Resonating valence bond states in a doped Mott insulator was proposed to explain superconductivity in cuprates in January 1987 by Anderson. A challenging task then was proving existence of this unconventional mechanism and a wealth of possibilities, with a rigor acceptable in standard condensed matter physics, in a microscopic theory and develop suitable many body techniques. Shortly, a paper by Anderson, Zou and us (BZA) undertook this task and initiated a program. Three key papers that followed, shortly, essentially completed the program, as far as superconductivity is concerned: i) a gauge theory approach by Anderson and us, that went beyond mean field theory ii) Kotliar's d-wave solution in BZA theory iii) improvement of a renormalized Hamiltonian in BZA theory, using a Gutzwiller approximation by Zhang, Gros, Rice and Shiba. In this article I shall focus on the merits of BZA and gauge theory papers. They turned out to be a foundation for subsequent developments dealing with more aspects that were unconventional - d-wave order parameter with nodal Bogoliubov quasi particles, Affleck-Marston's $π$-flux condensed spin liquid phase, unconventional spin-1 collective mode at $(π,π)$, and other fascinating developments. Kivelson, Rokhsar and Sethna's idea of holons and their bose condensation found expression in the slave boson formalism and lead to results similar to BZA program. Further, t-J model is a good minimal model around optimal doping, where RVB superconductivity is also at its best.

cond-mat.str-el↗
arXiv2006

Resonating Valence Bond States in 2 and 3D: Brief History and Recent Examples

Resonating Valence Bond states are quantum spin liquids, having low energy spin-half (spinon) or spin-1 excitations. Although spins are `disordered', they posses subtle topological orders and some times chiral orders. RVB states are easily appreciated and seem natural in the quantum fluctuation dominated 1D world. In 2 and 3D, competing orders such as antiferromagnetism, charge order or even superconductivity often hide an underlying robust quantum spin liquid state. Introduction of additional spin interactions or doping of delocalized charges, or finite temperatures, could frustrate the long range magnetic order and reveal a robust RVB state. To this extent they are natural in 2D and above. We present a brief history of insulating RVB states. Then we summarise our own recent theory of RVB states for 2 and 3D systems, including some newly synthesised ones: i) boron doped diamond, ii) \nxcob, iii) quasi 2D organic conductors and iv) a 2D graphene sheet.

cond-mat.str-el↗
arXiv2005

A resolution to doping asymmetry puzzle in high Tc cuprates

We present a microscopic model for `electron doped' $Nd_{2-x}Ce_xCuO_4$ family and offer a resolution to a long standing doping asymmetry puzzle. Here, i) Ce atoms do not dope free electrons, instead a Ce atom effectively quenches a $Cu^{2+}$ spin moment at an adjacent site, at an energy scale > superexchange J of $CuO_2$ plane and `site dilutes' the Mott insulator. ii) Effective chemical pressure, caused by increased Ce substitution, induces a {\em first order Mott insulator to superconductor transition} in the $CuO_2$ plane. We predict, i) {\em equal number of +e and -e carriers} in metallic state and ii) a line of first order transition ending at a critical point in normal state. Phenomenology gets organized.

cond-mat.str-el↗
arXiv2005

And quiet flows the supersolid ${}^4He$

A superfluid having atomic scale superflow of a hexagonal lattice of vortex and antivortex filaments, described by a single macroscopic wave function is presented as a supersolid. As superfluid \he4 is pressurized, at a first order transition, rotons (atomic scale current circulation, a vortex loop) not only condense but also {\em expand and fuse into hexagonal or other complex superflow patterns}. The vortex core contains an excess density of non-condensate atoms. Further, a Kelvin (m = 0, necklace) mode condenses in the vortex filaments. It results in a 3D atom density wave of hcp symmetry. In our theory, superfluid phase stiffness, rather than atom localization, imitates a solid like rigidity.

cond-mat.other↗
arXiv2004

Strongly Correlated Impurity Band Superconductivity in Diamond: X-ray Spectroscopic evidence for upper Hubbard and mid-gap bands

In a recent X-ray absorption study in boron doped diamond, Nakamura et al. have seen a well isolated narrow boron impurity band in non-superconducting samples and an additional narrow band at the chemical potential in a superconducting sample. We interpret the beautiful spectra as evidence for upper Hubbard band of a Mott insulating impurity band and an additional metallic `mid-gap band' of a conducting `self-doped' Mott insulator. This supports the basic framework of a recent theory of the present author of strongly correlated impurity band superconductivity (SCIBS) in a template of a wide-gap insulator, with no direct involvement of valence band states.

cond-mat.str-el↗
arXiv2004

Resonating Valence Bond Mechanism of Impurity Band Superconductivity in Diamond

Superconductivity in an uncompensated boron doped diamond, a very recent observation, is strikingly close to an earlier observation of Anderson-Mott insulator to metal transition, prompting us to suggest an electron correlation driven superconductivity in an impurity band. Random coulomb potential remove a three fold orbital degeneracy of boron acceptor states, resulting in an effective single, narrow, tight binding and half filled band of holes. Singlet coupling between spins of neighboring neutral acceptors $B^0-B^0$ is the seed of pairing. Across the insulator to metal transition, a small and equal fraction of charged $B^+$ and $B^-$ states (free carriers) get spontaneously generated and delocalize. Thereupon neutral singlets resonate and get charged resulting in a resonating valence bond (RVB) superconducting state.

cond-mat.str-el↗
arXiv2003

Cooperative Ring Exchange and Quantum Melting of Vortex Lattices in Atomic Bose-Einstein Condensates

Cooperative ring-exchange is suggested as a mechanism of quantum melting of vortex lattices in a rapidly-rotating quasi two dimensional atomic Bose-Einstein condensate (BEC). Using an approach pioneered by Kivelson et al. [Phys. Rev. Lett. {\bf 56}, 873 (1986)] for the fractional quantized Hall effect, we calculate the condition for quantum melting instability by considering large-correlated ring exchanges in a two-dimensional Wigner crystal of vortices in a strong `pseudomagnetic field' generated by the background superfluid Bose particles. BEC may be profitably used to address issues of quantum melting of a pristine Wigner solid devoid of complications of real solids.

cond-mat↗
arXiv2003

Quantum Charge Liquid - a new metallic state in 2 dimensions ? Application to Na$_{0.7}$CoO$_2$ family

`Quantum Charge Liquid'(QCL), a new phase, is proposed to describe anomalous metallic properties (T < 100 K)of a density 'y' of doped holes with strong coulomb repulsions, in a band insulator NaCoO$_2$ with N sites. This phase, a quantum melted charge order, is characterized by a `charge only' fermi-sea (cFS) of yN charges and a `soft spin-liquid' of yN spin-\half moments forming an `effective lattice' of Heisenberg antiferromagnet. An approximate microscopic theory and some consequences are outlined. Anomalous `Fermi surfaces' seen in ARPES of \ncob and \n7cob matches well with our cFS, rather than a corresponding single band free electron FS.

cond-mat.str-el↗
arXiv2003

Superconductivity in Na$_x$CoO$_2$$\cdot$yH$_2$O : Is Spin-Charge Separation Protecting a d$_1$+id$_2$ State ?

Superconductivity in Na$_x$CoO$_2$$\cdot$yH$_2$O is likely to be a p or d-wave; however, experiments are unable to pinpoint the symmetry. A simple estimate of pair breaking effects from an unavoidable `Na$^+$ vacancy disorder' in an ordered Na$^+$ lattice, at an optimal $x_{\rm opt} \approx 0.30$ is shown to destroy a Fermi liquid based p or d-wave superconductivity. However, a robustness of superconducting and normal states, seen in experiments is pointed out and argued to imply presence of a `quantum protectorate', possibly a `spin-charge decoupling' that protects a d$_1$+id$_2$ and not a p-state. A calculation of Knight shift and ${1\over T_1}$ in the framework of RVB mean field theory and a fit to the data of Kobayashi ${\it et al.}$ [9] is made.

cond-mat.supr-con↗
arXiv2003

Theory of Neutron Scattering for Gapless Neutral Spin-1 Collective Mode in Graphite

Using tight binding band picture for 2D graphite, and the Hubbard interaction, recently we obtained a gapless, neutral spin-1 collective mode in graphite \cite{SZS}. In this paper we present a detailed RPA analysis of the Neutron Scattering cross section for this collective mode. Near $K-$point and very close to $Γ-$point, the intensity of neutron scattering peaks vanishes as $q^3$. This is shown using a simple Dirac cone model for the graphite band structure, which captures the small$-q$ behavior of the system. As we move away from the $Γ-$ and $K-$points in the Brillouin zone of the collective mode momenta, we can identify our collective mode quanta with spin triplet excitons with the spatial extent of the order of a few to a couple of lattice parameter $a$, with more or less anisotropic character, which differs from point to point. We also demonstrate that the inclusion of the long range tail of the Coulomb interaction in real graphite, does not affect our spin-1 collective mode qualitatively. This collective mode could be probed at different energy scales by thermal, hot and epithermal neutron scattering experiments. However, the smallness of the calculated scattering intensity, arising from a reduced form factor of carbon $2p_z$ orbital makes the detection challenging.

cond-mat.str-el↗
arXiv2003

How Ice enables Superconductivity in Na_xCoO_2.yH_2O by melting charge order: Possibility of novel Electric Field Effects

Charge ordering in doped \cob planes near the commensurate fillings $x = {1/4}$ and 1/3 are considered for $Na_x CoO_2.yH_2O$ and suggested to be competitors to superconductivity, leading to the experimentally seen narrow superconducting dome bounded by commensurate doping: ${1/4}<x< {1/3}$. Intercalated hydrogen bonded $H_2O$ network, by its enhanced dielectric constant, screen and frustrate local {\em charge order condensation energy} and replace a generic `charge glass order' by superconductivity in the dome. An access to superconductivity and charge order, available through the new water channel, is used to predict novel effects such as `Electrical Modulation of Superconductivity' and `Electroresistance Effect'.

cond-mat.str-el↗